CN1247478A - Golf putter with improved curved striking face, putter system, and method of making same - Google Patents

Abstract

An improved vertically-curved strike face for a golf putter, the roll radius for which is determined based on the given strike face height and loft selected, wherein, regardless of a given golfer's putting stroke style, and of variations within that stroke style, the improved curved strike face as determined permits consistently impacting the golf ball in a critical true roll zone just slightly above the equator. Custom-fitting, to accommodate a given golfer's extreme putting style, or a given course's daily Stimpmeter(TM) reading, or green speed or mowed putting green conditions, can be achieved by selecting a given curved strike face loft and the resultant strike face roll radius. A basic form of the invention comprises a series of putters with different roll radius, for a given loft and strike face height.

Description

Band improves putter, putter system and their manufacture method of curved striking face

Related related application

The application is based on the temporary patent application No.60/064 of on November 7th, 1997 registration, 605 fully and application completely, and as the part continuation application of this application.

Technical field of the present invention

The present invention relates to the golf club putter with curved striking face, more particularly, relate to a kind of improved curved striking face, it is suitable for the multiple type of touching, and can guarantee again to clash into golf all the time below the equator of ball simultaneously.

Technical background of the present invention

Now done various trials with the putter made from vertical curved striking face, the ball that this striking surface helps to guarantee to be touched out is really towards object run.The putter of band flexure plane can be the complete columniform head that touches, and perhaps also can be shaped as the columniform surface of a band portion.The radius of the curved striking face on some flexure plane putters is much larger than the radius of golf.The diameter of standard golf is 1.68 inches, is the bead that 1.72 inches big ball and diameter are 1.64 inches but occurred diameter in the recent period.Yet long radius flexure plane putter can be batted above the equator of ball, and this has and is driving the trend that ball moves into striking surface downwards at the beginning, thereby causes chattering occurring in the starting stage of ball motion.

In some other putter, the subsequent corrosion in the flexure plane putter that has less than the radius of standard golf, for example, is asked for an interview U.S. Patent No. 4,872 basically, and 684,5,193,806,5,433,441 and 5,501,461.Yet, for these minor radius putters, the contact point of striking surface and golf be usually located at the ball equator below.This can make the ball that is touched out produce extra " jump " and initial skid motion equally.Like this, the ball that hits basically again can off-line, thereby causes in the batting not, particularly from, for example 5 feet and middle distance are in addition batted.

Also have other curved surface putters to have curved surface, promptly attempt near the equator of ball, to bat, for example, see United States Patent(USP) Nos. 5,597,364 and 5,688,189 with such diameter.In addition, has a built-in promptly static high strike inclined-plane on the striking surface of some flexure plane putter (being the putter of partial circle cylinder type).The change on this high strike inclined-plane can obviously change the striking point on the ball with respect to the ball equator.Like this, for many flexure plane putters,, promptly cause ball to rise and roll again by touching the blade of grass top on ground no matter radius how, if do not give ball initial slight ascending amount, will go wrong.

In addition, always there is such problem, promptly how the head that touches of putter accurately is sent to, promptly take rum point to by golfer's swing.For example, know now that most of golfers utilize a kind of so-called pendulum-type to impact (being the putting style Type II), promptly shoulder, upper arm, underarm, wrist and hand all are locked on the given position.In this mode, when the latched position of player's upper body is partly swung, can realize tilting movement.By this motion, the putter handle is sent to the golf rum point place (thereby the accurate static high strike inclined-plane on the transmission putter striking surface) that is positioned at 90 ° of bottom dead centre places.

In addition, also have another kind of putting style, promptly so-called " folding wrist " touches the mode of impacting (type i), for example the mode that adopted of professional golfers Bo Biluoke (Bobby Locke).In this special touching impacts, golfer's its wrist of bending in an instant before bump.In fact, this will make club head tilt to the wrist front, and promptly for the golfer of a right handed, club head can move to the hand left side when bump.Consequently, when bump, in fact the leading edge of club head exceeds the face of touching and upwards shifts to golf.This putting style can dynamically increase the static high strike bevel angle of structure on the putter striking surface when bump.

In addition, also have the third promptly so-called " preceding pressure " or " piston " to touch the mode of impacting (type-iii), for example famous professional golfers Tag 5 is (Tiger Woods) mode of being adopted now.In this putting style, golfer's wrist and hand are arranged in the front of ball to a certain extent, rather than be positioned at ball directly over.For the golfer of a right handed, the left side before hand can move to ball when bump.If what use is the typical plane putter on the static high strike inclined-plane (for example 3 °) that has design on striking surface, so, press putting style both can make striking surface declivity when bump of putter before this, promptly dynamically reduce static high strike bevel angle, can make again touch the head move down towards the face of touching, wherein, the leading edge of bat can be near ground when bump.

Because the various modes of impacting of touching recited above can change significantly, have now found that, for example, for a Typical Planar putter with 3 ° of static high strike inclined-planes, the real dynamically high strike bevel angle (when promptly clashing into) of striking surface can change in-7 ° to+13 ° scopes, promptly the projected angle of impact of handle can change ± 10 °.Yet, the flexure plane putter that is suitable for all these famous different putting styles that did not produce in the past.

In addition, have now found that some existing flexure plane (and other types) putters need hit golf on a point that is positioned at below the ball equator.Do like this is in order to make high strike inclined-plane impact bead and to it is said that making forward spin is the top spin.Yet, all do not recognize the distance limits scope that a) in fact has to be positioned at the bump golf of below, equator in these existing putters, batting can make the initial skid that hits golf minimize in this scope, therefore and can utilize the path accuracy of self angle rotation control ball of ball and b at place the most earlier) can guarantee at above-mentioned limit range inner impact to ball according to striking surface height and the determined bending radius of high strike bevel angle.

In addition, also have a problem, promptly select the suitable bending radius of putter according to the given meadow state that touches ground (being speed and height).That is to say, need very short grass, longer relatively grass to be suitable for most of private countryside clubs and public preferably court in the professional golf range game, last, relatively long grass is suitable for most of public golf courses.Therefore, there is not this corresponding relation illustrating and the flexure plane putter of the suitable bending radius of select tape for the stimpmeter (Stimpmeter) that uses of fixing the date now according to given court.

The present invention's general introduction

The present invention has solved the problems referred to above of the prior art by a kind of flexure plane putter is provided, which kind of adopts touch the mode of impacting no matter know the golfer, this putter all can be all the time at a specific pure rolling impingement region inner impact below being positioned at the ball equator to golf.That is to say, have now found that best impingement region is positioned at the below slightly in ball equator, promptly ball equator below has only in 0.015 inch to 0.073 inch the zone, if ball is hit herein like this, then initial skid can be minimized and hit ball and will produce pure rolling the earliest.Therefore, function as bat striking surface height, and depend on that required specific high strike inclined-plane (perhaps will be suitable for professional player, the lower or higher amateurish player of rank, the given stimpmeter (Stimpmeter) that perhaps will be suitable for the same day illustrates), curved striking face will be shaped by a certain radius that calculates, thereby obtain a curved striking face, its can guarantee all the time the ball equator slightly below and at preferred real impingement region inner impact to ball.

Much now mention in claims of flexure plane putter, when their curved striking face when golf contacts, can cause forward spin immediately and begin pure rolling, promptly not have any unnecessary initial skid (this serious deviation of skidding and to cause hitting in the rolling process of ball).Yet actual test shows always has initial skidding and jump phase in hitting the rolling process of ball.

Therefore, the flexure plane putter that a target of the present invention is the application of the invention minimizes initial skid, promptly is no more than the whole 10-12% that touches process, thereby significantly improves the precision of golf straight path.This target can realize by improved form of the present invention, promptly according to the bending radius of putter striking surface Level Change flexure plane, no matter which kind of adopts touch the mode of impacting, can guarantee that all pure rolling impingement region inner impact at ball is to ball.

In a comparatively basic form of the present invention, the putter on band high strike inclined-plane like the category is provided, each putter has a different curved striking face radius.Like this, the golfer can select one to be considered to optimum flexure plane radius, promptly touches the mode of impacting for golfer specific or given greenery patches state is felt best flexure plane radius.

In addition, provide a system, it is used to adopt and specificly touches the golfer of the mode of impacting or specific greenery patches state is equipped with specially.Herein, different with the ad-hoc location angle of consideration of the prior art, can be equipped with specially according to golfer's specific dynamic handle projected angle of impact, handle was with respect to the angle of ball when this dynamic handle projected angle of impact promptly clashed into, and it is caused by the specific putting style of golfer.

At last, by according to current height and type of touching ground, promptly according to the actual cutting-height and the given stimpmeter on the greenery patches ball speed or the same day (Stimpmeter) explanation of grass, different high strike bevel angles is provided, thereby a flexure plane putter that can dynamically be equipped with to given golfer is provided.

Brief description of drawings

By following explanation also with reference to the accompanying drawings, be appreciated that above-mentioned and the realization approach of other features and others and their implementation of the present invention, accompanying drawing comprises:

Fig. 1 is the rear view of the curved surface putter made according to comparatively basic scheme according to the present invention;

Fig. 2 is the front perspective view of putter shown in Figure 1;

Fig. 3 A is the side view of putter shown in Figure 1, and the curved striking face of this putter has a relatively long bending radius;

Fig. 3 B be one with side view like Fig. 3 category-A, but curved striking face has the bending radius of a moderate-length;

Fig. 3 C is again one and Fig. 3 A and the similar side view of 3B, but curved striking face has the bending radius of a shorter length;

Fig. 4 is the top view of putter shown in Fig. 3 C;

Fig. 5 is the schematic diagram of display ball motion, in order to help to determine the pure rolling of the water hazard in big improved form of the present invention;

Fig. 6 is a chart, has provided the pure rolling test data of the putter on a band high strike inclined-plane;

Fig. 7 is the graphic representation of pure rolling test data among Fig. 6;

Fig. 8 is a chart, includes the formula of the best-fitting of the curve that is used for calculating chart 6 and 7 pure rolling test datas;

Fig. 9 is the graphic representation of the best-fitting of the curve data among Fig. 8;

Figure 10 is the graph of a relation of high strike bevel angle between the pure rolling displacement, in order to determine to hit the pure rolling impingement region of golf.

Figure 11 is the graphic representation of preferred pure rolling impingement region on a golf and its;

Figure 12 has shown the sight when a plane band high strike inclined-plane putter is used for putting style 1;

Figure 13 has shown the sight when a plane band high strike inclined-plane putter is used for putting style 2;

Figure 14 has shown the sight when a plane band high strike inclined-plane putter is used for putting style 3;

Figure 15 has shown the sight when a flexure plane type band high strike inclined-plane putter that is equipped with according to curved striking face of the present invention is used for putting style 1;

Figure 16 has shown the sight when a flexure plane type band high strike inclined-plane putter that is equipped with according to curved striking face of the present invention is used for putting style 2;

Figure 17 has shown the sight when a flexure plane type band high strike inclined-plane putter that is equipped with according to curved striking face of the present invention is used for putting style 3;

Figure 18 is according to graphic representation of the present invention and computing formula, is used for determining suitable flexure plane bending radius according to the different face that touches height;

Figure 19 has shown the bending radius that given high strike bevel angle and the striking surface height according to the flexure plane putter calculated;

Figure 20 A to 20E-3 chart has been listed the best flexure plane bending radius with respect to the striking surface height that calculates according to the present invention;

Figure 21 to 21C is a chart, has gathered the flexure plane bending radius with respect to the high strike bevel angle;

Figure 22 is the curve map of the striking surface bending radius result of calculation in the chart among Figure 21;

Figure 23 has shown the localization method of center of curve, is used for producing given bending radius on a flexure plane putter, to be suitable for specific sight mode and/or to touch the greenery patches surface state;

Figure 24 is the side view of the putter in the optional form of the present invention; And

Figure 25 diagram has shown the part of a plurality of curves on the striking surface of the putter among Figure 24.

Detailed description of preferred embodiment

Please refer to each accompanying drawing, wherein identical code reference number is represented corresponding element, and wherein, Fig. 1-4 has shown a kind of citation form of the present invention.What this citation form related to is, according to given golfer touch needs and situation of living in, provide different flexure plane bending radius to a given apparent height and the putter that has a high strike inclined-plane, thereby produce different batting characteristics.Fig. 5 in addition-23 has shown more complete, more advanced form of the present invention, any assigned altitute for the flexure plane putter, required best bending radius is provided, no matter which kind of putting style given golfer adopts, no matter also given golfer's oneself batting mode and standard have much tolerances, all guarantee all the time impact bead in the preferred pure rolling impingement region below the ball equator.

A. citation form of the present invention

The present invention relates to a kind of head that touches being first kind of situation than citation form, and its shape and feature are roughly shown in each accompanying drawing.Such form of the present invention at first is described among three basic embodiment shown in Fig. 3 A, 3B and the 3C.Describedly touch other shapes of head and the innovation part of feature is reduced under the situation of minimum degree not making, the head that touches of the present invention is characterised in that in each preferred embodiment, all to have the striking surface on a bending and band high strike inclined-plane.This feature has made up on vertical arrangement on the striking surface or bending radius and the striking surface and has had the two kinds of features in high strike inclined-plane, and to be considered to any putter all are unique feature combinations.

The present invention relates to its comparatively basic form once more in second kind of situation, promptly comprise a kind of many putters batting system, this system is made up of one group of independent putter, and the radius of the curved striking face that putter had that each is independent is all different with other putters in this group.Preferred construction is, the branch putter in the putter of the present invention system is the putter in foregoing " first kind of situation ".Yet, be not that each putter in this group only is an alternative embodiment of the putter of invention, on the contrary, each putter is a branch putter in the putter system, it all is optionally to be made of a unique striking surface radius that in this putter system each divided putter, so that different batting characteristics is provided, promptly the golfer is for given sensation of touching ground.

Please refer to each accompanying drawing (particularly Fig. 3 A-3C and Fig. 4), high strike inclined-plane and radius for the curved striking face of determining to touch head better, can see that the putter of citation form of the present invention has a striking surface 15, a substrate 16 and a top surface 19 that comprises a preceding plane surface 17 and a rear surface 18.Curved striking face 15 intersects at a top/front edge 21 (being expressed as node 21 in profile diagram shown in Fig. 3 A-3C) with top surface 19 and locates.When definite flexure plane and high strike inclined-plane, preferred embodiment according to citation form of the present invention, article one, " high strike inclined-plane line " 23 (seeing profile diagram shown in Fig. 3 A-3C) drawn the straight line on plane, plane surface 17 place before the expression bottom from node 21, like this, high strike inclined-plane line 23 intersects (at " theoretical margin point " 25 places) with the extension of base plane, thereby form a required angle (seeing angle " α "), this angle equals 90 ° and adds the high strike bevel angle.For example, in Fig. 3 A, the high strike bevel angle is 3 ° (i.e. static high strike inclined-planes of one 3 degree).In case determine theoretical margin point 25, promptly can establish each corresponding crooked preceding striking surface 15A, 15B and 15C, and make curved striking face as one section circular arc by selecting required radius, this radius of a circle is by definite to the string of point 25 from putting 21.The center of gravity of striking surface 15A, 15B and 15C place circular curve was preferably placed at from putting 21 to the perpendicular bisector of the string of point 25 before each was corresponding crooked.

As previously mentioned, shown three exemplary minute putters in the putter system of citation form of the present invention among Fig. 3 A-3C, these three branch putters have specific size and have constant striking surface height (seeing the reference symbol FH among Fig. 2).Specifically, putter among Fig. 3 A has a curved striking face 15A who is shaped by 10 inches bending radius, putter among Fig. 3 B has a curved striking face 15B who is shaped by 4 inches bending radius, and the putter among Fig. 3 C has a curved striking face 15C who is shaped by 2 inches bending radius.In one group of sample according to citation form of the present invention, each putter preferably has a striking surface height FH who is about 0.965 inch.

Like this, of the present inventionly be shown in (Fig. 3 A, 3B and 3C) in three end-views than one group of putter in the putter system of citation form.Though only shown a curved striking face at a top view (Fig. 4), it is the putter shown in Fig. 3 C, but be appreciated that, except the size difference that curved surface produced of the differently curved radius of the striking surface 15 of corresponding putter, in the system other minutes putter top view basic identical.

Therefore, can see, for the given flexure plane putter of striking surface height, a given high strike inclined-plane can be shaped on flexure plane, and flexure plane can adopt different bending radius, thereby makes any one putter in some flexure plane putters, or any one putter in the flexure plane putter system on a band high strike inclined-plane, all can be for a given golfer makes, for its selection and use.

B. improved form of the present invention

Consider the ability of flexure plane putter of the previously described combining structure that has a given high strike inclined-plane and a bending radius and the benefit of generation, also need a given putter structure, promptly for the given putter of striking surface height, determine best bending radius and high strike inclined-plane, so that pure rolling can appear in ball all the time that hit the earliest.Specifically, for given flexure plane putter with known striking surface height, need to determine that great bending radius and high strike bevel angle are best, minimize so that hit the slippage and the jump of ball, thereby make ball acquisition pure rolling pure rolling the earliest, no matter and which kind of putting style a given golfer adopt, all can obtain this result.

, begin the initial point of so-called " pure rolling pure rolling " with the golf of determining to hit with doing a series of tests with the standard flat sphere putter of 3 ° of forward high strike bevel angles.Adopted regularly high-speed photography to determine the motion of ball, the i.e. shift position and the anglec of rotation.Now determine, and do to describe opposite in the various existing patents, from law of physics with to the result of the true time-lapse photography that the present invention did, the ball that hits is impossible occur pure rolling immediately.That is to say always have some starting stages in the motion of ball, wherein occur skidding, slippage and jump.Yet, can arrive a point afterwards, promptly move with identical speed together with the surface of ball at the center of ball at this moment, thereby make ball set up pure rolling.

Such ball motion as shown in Figure 5.Listed required each fundamental equation and the definition of true rolling movement that is used for determining all golf as shown in Figure 5 below:

The speed at Vc=golf ball center place

The speed of Vs=golf surface

The center distance of d=in 1/30 second

The angular speed of w=golf

The radius of rad=golf=0.840 "

The Ang=anglec of rotation

Time=0.033333 second (1/30 second)

1 Vs=rad ^*W (inch per second)

W=(ang ^*π/180)/time (x/ second)

2 Vc=d/time (inch per second)

3 do not have angle=(360 of skidding ^*D)/(5.27787), wherein 5.27787 "=the golf girth

Therefore for test purpose, again because golf should be used by the amateurish competitor again by the professional athlete usually, and selected golf diameter is 1.68 inches, like this, its radius is 0.84 inch and girth is 5.27 inches.Can determine like this, move one 5.27 inches distance in the track when golf touches at it, and rotated 360 ° at one time, illustrate that then skidding stops and having arrived the pure rolling state.Therefore, target of the present invention provides a flexure plane putter, make such " nothing is skidded " state, be the Vc (speed of golf 28 centers, unit is an inch per second) equal the Vs (speed of golf 28 surfaces, unit is an inch per second) time state, can occur in all the time behind the putter bump in the time as far as possible early.

As an illustration, in time-lapse photography, the center distance of ball is to take in 1/30 second interval.Photography is carried out in golf 28 1 sides, and like this, the motion of ball (being " X " direction and vertical i.e. " Y " direction simultaneously in level) can go on record.Golf is touched out by a mechanical ball striking device, and guaranteeing the uniformity of putting style, transmission striking speed and impact, and the forward edge of putter is to ground or to touch surperficial height be constant.

The computational methods that are used to determine to hit speed Vc of ball center and superficial velocity Vs have been provided above.Two positions that shown golf 28 among Fig. 5, promptly golf 28 is in the position at first another set point place (right part of flg) after locating the position of (left hand view) and just having passed through 1/30 second.Specifically, the surperficial BS that has shown ball among Fig. 5 generally is 1 process that runs to position 2 from the position, and this moment, the center BC of ball then moved a distance, d (unit is inch).Shown the angle rotation of ball in addition, it is with reference symbol " ANG " expression (unit is the rotation number of degrees).Afterwards, club successively from the position 2 to the position 3,3 to the position 4 from the position, goes on successively, the fixed time test photography is with the real center speed Vc and the superficial velocity Vs of display ball.In addition, " nothing is skidded " state of golf 28, promptly to appear at the absolute anglec of rotation of ball be that 360 ° and the center of ball are when moving past 5.27 inches to the pure rolling state.

In order to implement such time-lapse photography batting test, need carry out many groups by mechanical ball striking device (not shown) and touch for 10 feet.(because the golf that touches out of major part is in 10 feet or following distance, therefore select 10 feet distance in this batting test, like this, this precision of touching will significantly improve player's overall golf achievement.)

Shown among Fig. 6 the golf 28 that write down in a series of like this tests from the position 1 to the position 12 exercise data.As shown in the figure, for the plane putter that has forward 3 degree actual measurements or static high strike inclined-plane, when the anglec of rotation of ball 28 arrives 360 °, it has moved past 12.75 inches at the X direction of displacement, however, really be that total rotation " nothing skid angle " is 869.7 °, this moment, Vs began near Vc.

Can see that superficial velocity Vs begins to increase, slow down again then, and then increase, and then slow down, and final increasing; These variations of Vs show that the golf that hits jumped before this, then once more with touch ground and contacted.Equally, the Y direction shift value shown in Fig. 6 has shown that this " rising " of golf 28 is jumping, promptly at any ball that touches in the starting stage that impacts from touching the motion that greenery patches face PGS jumps out.Specifically, (see Y displacement hurdle) in Fig. 6, the numbers illustrated golf 28 that surpasses 0.84 inch floats over slightly in the air.This also illustrates, the pure rolling of ball arrives as yet, and above the center at ball 28 finally rests on PGS 0.84 inch, this moment, the minimum surface of ball touched PGS, and Vs trends towards and finally equal Vc.

Fig. 7 is a curve map, has shown that data are taken from the test result among Fig. 6 with the superficial velocity Vs and the central speed Vc of the golf that hits 28 of the plane putter on 3 ° of high strike inclined-planes.Can see that from the directions X displacement that initial rum point begins, promptly 0.0 inch, to about 12 to 13 inches directions X displacement, superficial velocity Vs is increased to 22 to 23 inches of about per seconds from 0 gradually.Equally, during this period of time, the central speed Vc of ball is reduced to 22 to 23 inches of about per seconds gradually from 40 inches of about per seconds.In addition, these data acknowledgements, opposite with in existing hypothesis and the claim hits in the motion of ball and always has some initial skid stages.

" best-fitting of the curve " data of calculating according to the pure rolling test result among Fig. 6 and the opisometer among Fig. 7 have been shown among Fig. 8.Specifically, tabulation has shown the best-fitting of the curve of ball superficial velocity Vs and central speed Vc among Fig. 8.Body also helps explanation, and when superficial velocity Vs finally equaled central speed Vc, ball can reach so-called pure rolling, and promptly the surface of ball and center are with the state of identical speed operation.Be appreciated that it is the such point that hits in the ball motion herein, ball obtains uniform angular acceleration herein, and is promptly stable, thereby has maximum rotation inertia.Conversely, this makes ball to follow the tracks of its batting track with the highest precision again.Yet, can see that this maximum rotation inertia state (when pure rolling) is with to hit ball motion starting stage difference very big, in the starting stage, the initial jump of ball, skid and slippage combines and will cause the angular acceleration of ball very low.As everyone knows, initial skid motion continues longly more, and the possibility of ball 28 off-lines is also big more, for example, this situation may occur when ball is run into the tiny flaw that touches on the face PGS of greenery patches or little mincing.

Fig. 8 also demonstrates, and for the test data among Fig. 6, the pure rolling state of ball 28 appears at 14.456 inches places of directions X displacement.In addition, at this displaced position, Vs and Vc are equal to 27.8 inches of per seconds, and afterwards, the two is decayed with identical speed under the effect of gravity and frictional force.This as shown in the figure, touches for one given 10 feet, and about 12.05% the motion that hits ball is the initial skid motion, and remaining 87.95% be required pure rolling.

The best-fitting of the curve data that calculate shown in Fig. 8 are shown among Fig. 9 in the mode of figure.In addition, can see that when ball was clashed into, its central speed Vc was from 42.0294 inches of per seconds, decay is gradually promptly slowed down, until 27.8 inches of per seconds afterwards.Simultaneously, 27.8 inches of the per second of superficial velocity Vs when 0.0 inch of the per second in when bump rises to pure rolling, promptly final Vc and Vs merge together.In addition, this pure rolling appears at from rum point and begins to move past after 14.456 inches along the batting circuit.

Figure 10 has shown the test result when the high strike inclined-plane of plane putter changes gradually, adopts 3 ° of constant static high strike inclined-planes to do test (seeing Fig. 6 to 10) in order to compare the front.That is to say that in test, the high strike bevel angle of plane putter (not shown) is increased to 10 ° with 2 ° increment from 0 °.Being used among Figure 10 described high strike bevel angle and the pure rolling that result curve that this high strike bevel angle changes test result demonstrates putter, the relation between the directions X displacement the when ball that promptly hits has just begun pure rolling.Can see that when the dynamic high strike inclined-plane that a what is called " pure rolling district " optimum that hits ball appears at putter was positioned at 2 ° to 4 ° positive high strike bevel angles, so-called dynamically high strike inclined-plane referred to provide the high strike inclined-plane at the bump place of striking surface.In this high strike range of bevel angles, the initial skid motion that hits ball keeps minimum--and when earliest time and displacement the earliest, make the motion that hits ball obtain pure rolling like this.In other words, if a very little forward high strike inclined-plane is housed on the putter striking surface, so, undesirable initial skid before entering pure rolling and jump can be maintained at absolute minimum state, thereby make ball have only a motion that makes progress a little, promptly only rise to the blade of grass top, can make pure rolling appear at the early stage as far as possible of motion like this.

Ideal results is, if all being sent to the putter with 3 ° of high strike inclined-planes with ground consistently, each golfer is roughly 90 ° place, so, just can guarantee that golf 28 can be positioned at below the golf equator at one is hit on the rum point at small distance place very much, thereby guarantees minimum skidding and best pure rolling.Yet this situation often can not take place, and considers that particularly the putting style of employing is different, and golfer its oneself touch and also can change in impacting.

In addition, also explained among Figure 10 why can below the ball equator, have and touched head " a best rolling impingement region ", promptly can produce the zone of pure rolling the earliest with 2 ° of putters to 4 ° of high strike inclined-planes.According to the speed condition of batting, can adopt during beginning, for example, 1 ° of forward or 5 ° of forward high strike bevel angles.Afterwards, according to calculating the optimum batting point that to determine to be positioned at below, golf equator.That is to say, can utilize following formula: sin (high strike bevel angle) to multiply by the radius of ball.For example, sin (2 °) * 0.84 " show that one with the putter of 2 ° of high strike bevel angles below more 0.0293 under the line " point on hit ball 28.Equally, sin (4 °) * 0.84 " show that one with the putter of 4 ° of high strike bevel angles below more 0.0586 under the line " point on hit ball 28.For 1 ° high strike bevel angle, the below is 0.015 inch under the line, and for 5 ° high strike bevel angle, this distance is 0.073 inch.For i.e. 3 ° the high strike bevel angle of the best, batting is located for 0.044 inch in the below under the line, to obtain pure rolling the earliest.(seeing Figure 11)

Therefore, best pure rolling and minimize to skid and appear under such condition is promptly batted on the point in the pure rolling impingement region in 0.015 to 0.073 inch scope below the ball equator.No matter adopt which kind of putting style, this impingement region all can make the striking surface of putter clash into golf 28 all the time, thereby obtains the early stage pure rolling of ball in the best way.(seeing Figure 11)

Yet, be appreciated that for a golfer, be very difficult to will be sent to the plane putter on high strike inclined-plane consistently on the given dynamic handle projected angle of impact with respect to ground.(" handle projected angle of impact " is meant that the center line of putter handle and one pass ball and perpendicular to the plane on ground or touch angle between the face, the rum point place of this angular surveying between putter striking surface and golf.)

On the other hand, when using improved flexure plane putter of the present invention, the striking surface bending radius of putter can be selected specially, thereby makes, no matter adopt which kind of putting style, curved striking face all can be hit a ball in the described in front all the time preferred rolling impingement region.The such pure rolling impingement region that has shown ball 28 among Figure 11.

Three kinds of dynamic impact effects of touching the mode of impacting substantially that occupation and amateurish golfer all adopt have been shown among Figure 12-14.Specifically, what show among Figure 13 is to touch to impact mode II, i.e. the pendulum-type putting style of standard more.Herein, a standard with the putter on 3 ° of high strike inclined-planes touching when impacting mode II and transmitting, will make striking surface 30 strike ball 28 touching the bottom dead centre place that impacts, rum point is positioned at 0.044 inch of its below, equator, promptly is positioned at the pure rolling district.The dynamic handle projected angle of impact that handle 34 is produced (impacting mode II generation by touching) is 90 °.In addition, the lower front 36 of striking surface 30 (touching the most of golfer who impacts mode II for employing) remains on usually apart from touching the about 0.289 inch place of greenery patches face PGS.But, not accurately to be sent to 90 ° of bottom dead center places if touch head, then rum point can significantly change.In addition, adopting the plane putter to reckon without near the slight variation of golfer its " on average " touches the mode of impacting.For example, notice now that a given golfer can have the dynamic handle angle up to ± 2 ° to 3 ° to change, i.e. tolerance near its average putting style.

Figure 12 has shown employing putting style I, the sight during promptly so-called " folding wrist " putting style.Herein, when the static flat sphere 30 that has 3 ° of high strike inclined-planes is sent to golf 28 places, will be below the ball equator far place, promptly 0.116 inch place strikes ball.This is that in other words, dynamically handle angle has only 85 ° because the effectively dynamically high strike bevel angle of current striking surface is 8 °.(be appreciated that, the dynamic high strike bevel angle of bat equals 90 ° when bump, deducts dynamic handle angle, adds the static high strike bevel angle of bat) when adopting putting style I, when being the wrist bending, bat striking surface 30 can begin to rotate up before just clashing into.Like this, as shown in figure 12, compare with other putting styles, the lower front 36 of bat striking surface 30 is higher, promptly rises to about 0.389 inch from touching greenery patches face PGS.

At last, Figure 14 has shown employing putting style III, the sight when promptly so-called " preceding pressure " or " piston type " putting style.In this specific touching under the mode of impacting, and use the plane putter have 3 ° of high strike inclined-planes, when striking surface 30 strikes golf 28, touch 32 and be positioned on the downward circular arc.In fact, this downward circular arc can make the static high strike bevel angle of striking surface 30 reduce to produce low bevel angle when bump.Can see that striking surface 30 is impact bead 28 on about 0.029 inch point of (rather than below) above the equator of golf 28.Certainly, this rum point is away from foregoing effective pure rolling impingement region.In addition, owing to press putting style before this, the effectively dynamically high strike inclined-plane of striking surface is-2 °, and dynamically handle angle is about 95 °, and the position of lower front 36 promptly only is positioned at and touches about 0.189 inch place, greenery patches face PGS top than hanging down in putting style 1 or 2.

Like this, shown in Figure 12-14, only when adopting putting style II, could on a point that is positioned at pure rolling district (being the zone of 0.015 inch to 0.073 inch of below, ball equator), clash into golf 28.And this result also only appears at the dynamic projected angle of impact of handle with the putter on 3 ° of high strike inclined-planes that is transmitted just in time is that 90 ° and handle projected angle of impact that the golfer produced be not when changing.What many professional golfers this helps to be interpreted as and can bend in practice with the lower amateurish competitor of many ranks and touch the hole that is connected putter on the head, promptly touch the head and the tie point of handle, so that obtain built-in static high strike inclined-plane, the final position of their hand when clashing into balance.In addition, many golfers, particularly amateurish player does not wish the putter of costliness is done such improvement even know how to operate yet.Therefore, they can touch inaccurate constantly.In addition, can see, when the putter on band high strike inclined-plane adopts putting style I (folding wrist) or putting style III (preceding pressure), they only do not allow bump golf within preferred pure rolling district, and when adopting putting style II, this plane putter is helpless to the variation of golfer at its dynamic handle projected angle of impact again.

Therefore, shown improved putter of the present invention in Figure 15 to 17, it is represented with code reference number 38 generally, and has an improved curved striking face 40.For a given striking surface height, striking surface 40 is shaped by a specific striking surface bending radius, no matter to guarantee which kind of adopts touch the mode of impacting, all can hit golf all the time in preferred pure rolling district.Figure 15 has shown that an improved putter 38 is used to touch the sight when impacting mode I, comprises an improved curved striking face 40 with 3 ° of high strike inclined-planes in the putter 38.Can see that " folding wrist " putting style also provides one 85 ° dynamic guiding angle to handle 34, and cause the leading edge 42 of curved striking face 34 to be held in place in touching about 0.389 inch place, greenery patches face PGS top.Yet because improved curved striking face 40 has about 4.305 inches particular bend radius, so curved striking face 40 can guarantee that in the pure rolling district promptly impact bead 28 is located for about 0.044 inch in below, ball equator.

Secondly, shown same improved flexure plane putter 38 among Figure 16, touched and impact (being mode II) but be used for pendulum-type herein.Like this, form on the curved striking face 40 that touches on 38 and have one 3 ° forward high strike inclined-plane, the dynamic guiding angle of handle 34 is 90 °, and lower front 42 then remains on touches about 0.289 inch place, greenery patches face PGS top.Yet, because improved curved striking face 40 (also having about 4.305 inches bending radius), therefore can the pure rolling district in, promptly impact bead 28 is located for about 0.044 inch in the ball equator.The 3rd, shown same improved flexure plane putter 38 among Figure 17 with 3 ° of high strike inclined-planes, it has a curved striking face 40 that has 4.305 inches bending radius equally, but pressure type touches and impacts (being mode III) before being used for herein.When using the plane putter, flexure plane touches 38 and is sent to ball 28 places, thereby makes handle 34 produce one 95 ° dynamic guiding angle, and when impact bead 28, lower front 42 approximately has only 0.189 inch place above touching greenery patches face PGS.Yet, because there is 4.305 inches bending radius in curved striking face 40, therefore touch 38 also can the pure rolling district in, promptly impact bead 28 is located for about 0.044 inch in the ball equator.

Can see that improved flexure plane putter of the present invention is not only applicable to all three kinds of putting styles, but also can adapt to the variation in golfer's the own putting style, be i.e. dynamic handle angle tolerance.

In Figure 15-17, the height of curved striking face 40 is represented with alphabetical FH.Can see, by being unified bending radius of curved striking face 40 selections (one of them is about 4.305 inches), no matter what produced 38 adopts which kind of to touch the mode of impacting with touching of 3 ° of high strike inclined-planes, all can be all the time at pure rolling impingement region inner impact to golf, thereby the pure rolling that ball 28 is obtained the earliest.In addition, thereby no matter no matter which position that is actually flexure plane 40 strikes golf 28--is the more point of rising on the striking surface or raises less point--make leading edge 42 be positioned at and touch on the higher or lower position, greenery patches face PGS top that curved striking face 40 (having 4.305 inches bending radius) all will strike ball 28 in about 0.044 inch place below the ball equator with respect to position shown in Figure 15-17.This phenomenon can take place all the time, and this is that promptly bending radius can produce improved curved striking face 40 because of the selected curvature of putter to a given striking surface height and high strike inclined-plane.

Be appreciated that it is constant that striking surface height FH keeps for touching 38 shown in Figure 15-17.In an example of being done according to the present invention, striking surface height FH is chosen as 0.900 inch.Yet this striking surface height also can change significantly, and this depends on the ad hoc structure of used putter, and in this case, according to the present invention, the striking surface bending radius also needs to make change.

Shown the required calculation procedure of correct bending radius that is used for determining curved striking face 40 among Figure 18.Specifically, item A equals sin (high strike bevel angle) * (0.5FH), h is an action, B is the vertical height from leading edge to the striking surface center, C equals tan (high strike bevel angle) (A), and FH represents the striking surface height (normal direction along the plane, place, high strike inclined-plane of curved striking face 40 is measured) of bat.Utilize the formula among these and Figure 18, can calculate given striking surface height FH required bending radius, wherein X and Y size Expressing is the center of curvature for the curved striking face 40 required circular arcs that produce improved band high strike of the present invention inclined-plane.

For example, utilize these formula, one with 3 ° of forward high strike inclined-planes and have about 1 inch striking surface height FH touch 38, the preferred bending radius of being determined is 4.783 inches.The directions X position of the center of curvature is 4.777 inches, and Y direction position is 0.250 inch.

As a reference, shown the required formula of curved surface bending radius that is used to determine with the putter on 3 ° of high strike inclined-planes among Figure 19.That is to say that the particular bend radius of this putter equals striking surface height FH and multiply by gradient (promptly 4.782) and add Y direction intercept size, promptly 0.00116667.Also shown a chart among Figure 19, it is produced (also being specially adapted for the putter with 3 ° of high strike inclined-planes) by the rising formula, and comprises the striking surface height (from 0.500 inch to 1.500 inches) of a complete series and each the striking surface bending radius that is drawn.

Figure 20 A to 20E has shown the gradual more completely inventory of the preferred curved surface bending radius of the given striking surface height series that is applicable to wide variation in (being divided into Figure 20 A-1,20A-2 and 20A-3 to Figure 20 E-1,20E-2 and 20E-3 again).Here, for a given high strike bevel angle and a striking surface height of promptly selecting, through the calculation procedure shown in the front (seeing Figure 18), the ball that hits for having pure rolling the earliest draws required bending radius.Can see,, promptly have the head that touches of given striking surface height FH, can utilize the chart among Figure 20 A to 20E-3 to draw specific bending radius for the head that touches of giving fixed structure.For example, for 2 ° high strike inclined-plane and 1 inch striking surface height, the bending radius that calculates is 7.168 inches.Equally, for 1 inch striking surface height but high strike bevel angle difference, for example 4 °, the bending radius that calculates only is 3.593 inches.For selected similar striking surface height and high strike bevel angle, the bending radius that is drawn can be found from Figure 20 A to 20E.

Figure 21 has provided the bending radius summary sheet for the putter of given striking surface height in (being divided into 21A, 21B and 21C again).In these figure, the high strike bevel angle changes to 8.5 ° from 0.5 °, and the striking surface height changes to 1.5 inches from 0.5 inch.The data that drawn make bat manufacturers to select required bending radius according to the given high strike bevel angle and the striking surface height of putter, thereby make the golfer, no matter which kind of adopts touch the mode of impacting (being mode I, II or III), equal preferred pure rolling district inner impact golf below the ball equator all the time.

In addition, Figure 21 A to 21C can be understood as, and can select a given bending radius according to the required high strike inclined-plane of the particular type of greenery patches state, and so-called greenery patches state is meant the cutting-height and the greenery patches ball speed of grass.For example, the high strike bevel angle in 0 ° to 2 ° scope of forward can be used to select to be best suited for the standard occupation game of golf bending radius of touching the greenery patches face.This will make the pure rolling impingement region appear in about 0.015 inch to 0.044 inch of the ball equator below.On the other hand, the high strike bevel angle in 2 ° to 4 ° scopes can be used to select to be best suited for the typical countryside club and the bending radius of greenery patches, Public course state preferably.This will make the pure rolling impingement region appear in about 0.024 inch to 0.059 inch of the ball equator below.In addition, the bending radius of the greenery patches state that the high strike bevel angle in 3 ° to 5 ° scopes can be used to select to be applicable to that careless face cuts higherly, this greenery patches state sees in most of public's golf courses.Like this, the pure rolling impingement region appears in about 0.044 inch to 0.073 inch of the ball equator below.Should be pointed out that desirable static high strike bevel angle is 3 ° of forwards.

The summary sheet of Figure 21 A to 21C is shown among Figure 22 with the form of curve.Figure 22 can understand the roughly variation tendency of bending radius with respect to the high strike bevel angle better, thus the curved striking face putter that can obtain to have correct bending radius, so that the pure rolling district inner impact golf below the ball equator all the time.

C. the customization of flexure plane putter is equipped with

Consider foregoing citation form of the present invention and improved form, be appreciated that, can customize the flexure plane putter that is equipped with a band particular bend radius for a given golfer, this bending radius is adapted to selected specific putter structure, it is the striking surface height, or extreme putting style (promptly do not belong in the preceding pressure of standard or the folding wrist mode a kind of), or be adapted to special-purpose stimpmeter (Stimpmeter) (trade mark) and illustrate, promptly be used for fast, the greenery patches of middling speed or low speed.That is to say, in case golfer's given putting style is determined, the specific striking surface height of existing type of touching the greenery patches and required putter is all given, then can calculate particular static high strike inclined-plane and bending radius, thereby customizes outfit flexure plane putter for the golfer.

For example, for die mould golfer before extreme, the striking surface height of its required putter is 1.2 inches, and will bat (promptly being suitable for most being with 1-2 ° of high strike inclined-plane) on the greenery patches very fast.By utilizing chart among Figure 20 A to 20E-3 to draw best bending radius is 11.464 inches.This radius is significantly different with 3.455 inches bending radius, 3.455 the bending radius of inch is suitable for following so different preceding pressure type golfer: the bat that uses identical striking surface height, the front is remarkable like that not a quarter but press putting style before it, and is to bat (promptly being suitable for 5 ° high strike inclined-plane) on the greenery patches at a slow speed.Yet, no matter be under which kind of state, pressure type golfer all can obtain such putter (having the flexure plane bending radius that a custom-made is equipped with) before each, to guarantee all the time clashing into golf being arranged in the pure rolling district of ball equator below slightly.

In addition, by foregoing outfit method, can be equipped with a flexure plane putter that has sufficient bending radius for a specific golfer optionally customizes, to be suitable for the various height that touch the greenery patches face, i.e. Cao height, and greenery patches ball speed or various stimpmeters (Stimpmeter) (trade mark) explanation.For example, the operator of professional golf range game makes the ball speed of touching the greenery patches face relatively comparatively fast and with the greenery patches cut very short rank, promptly about 0.125 inch to 0.156 inch usually.On the other hand, private countryside club and some Public course preferably then have ball speed about mean value, and promptly Cao surface is cut higherly, is approximately 0.156 inch to 0.281 inch; Most of public courts then have lower ball speed and the greenery patches face that touches of cutting De Genggao, and promptly cut to and are approximately 0.172 inch to 0.281 inch.

X and Y direction size that Figure 23 adds in the chart among Figure 20 A to 20E-3 demonstrate, in being that a given stimpmeter (Stimpmeter) illustrates, not only to offer some clarification on the curved striking face 40 of band bending radius, also to provide in order to produce bending radius, promptly on club head, cut to form the required coordinate (with X and Y direction size Expressing) in high strike inclined-plane.For example, the used flexure plane putter of occupation match needs the high strike inclined-plane that is up to 3 ° from 1 °, and 2-4 ° high strike inclined-plane need be used in club ground, countryside, and public court then needs the flexure plane putter with 3 ° to 5 ° or higher high strike inclined-plane.Importantly, X and Y direction size show be the center of curvature of definite bending radius.

What Figure 24 and 25 showed is a modified form of the more advanced form of improved flexure plane putter of the present invention.Herein, shown bending has a basic i.e. operation radius of curvature R ₁, it is generally corresponding to the main batting part in the bottom of striking surface 44, a upper bend radius R ₂, it is generally corresponding to the non-batting part in the top of striking surface 44, and a foot is the 3rd radius of curvature R ₃, it constitutes the lower front 46 of putter 48 basically.Can see the radius of curvature R of batting substantially ₁(being so-called aesthetics) radius of curvature R much larger than top ₂Preferred construction is the batting radius of curvature R ₁In 45% to 85% height of curved striking face 44 bottoms, stretch; Most preferred structure is the batting radius of curvature R ₁In the bottom 75% of the height A of curved striking face 44, stretch (seeing Figure 25).Conversely, the radius of curvature R of top aesthetic feeling ₂Only in 15% to 40% height on curved striking face 44 tops, stretch, or stretch in the top 25% of the preferred only height A of the curved striking face 44 in Figure 25.As previously discussed, striking surface radius of curvature R ₁Len req can calculate by the formula among Figure 18, and can take from chart among Figure 20 A to 20E-3, and relatively short upper bend radius R ₂Scope be from about 0.125 inch to the infinity (promptly being a plane basically).The respective curved radius R ₁, R ₂The position and their center of curvature be shown among Figure 25, wherein, as example, shown R ₁Be 4.60 inches, and the upper bend radius R ₂It is 0.800 inch.

The improvement curved striking face content of each embodiment shown in the relevant Fig. 5-23 of front has provided specific batting radius of curvature R ₁The selection reason.Yet affix is much smaller than the batting radius of curvature R ₁The upper bend radius R ₂Reason be for the aesthetic appearance (, comprising the position of ball) that makes putter 48 for golfer's eyes with only being formed with radius R on the striking surface 44 ₁Compare, have significant more flexure plane outward appearance visual effect.That is to say, with respect to each embodiment shown in Fig. 5-23, the batting radius of curvature R ₁Therefore have such large-size, though striking surface 44 is crooked, look to remain general plane.The upper bend radius R is provided ₂Help to make outward appearance soft, and provide more crooked appearance to golfer's eyes.

In addition, upper bend radius R ₂The position that makes the golfer be in the ball (not shown) is provided the time, the top that can see striking surface better is (promptly along radius of curvature R ₂The vertical bending area that is produced) and can see the batting radius of curvature R ₁Be (point " X " that sees haply in Figure 24 and 25 is located) that begins wherefrom.At last, bottom radius R ₃Provide and just be used to make flexure plane 44 glossily excessively to bat bottom surface 50.

Can believe from the explanation at top place,, can understand specific characteristic and advantage that the present invention compares with the flexure plane putter of existing type for the professional in present technique field.In addition, be appreciated that, though invention has been described by proposing also described in front specific fundamental sum improvement embodiment and putter system in each accompanying drawing, but however, under the premise without departing from the spirit and scope of the present invention, the present invention allows change, modification and the replacement of equivalent.This just means that occurring, the present invention is not subjected to the restriction of specification He each accompanying drawing of front in following the appended claims.

Claims (24)

1. one kind is used to the be shaped method of a vertical curved striking face of the best of putter, no matter which kind of a given golfer adopts touch the mode of impacting, this method all can be guaranteed all the time to strike ball on the point of a pure rolling impingement region that is arranged in ball, this pure rolling impingement region is positioned at about 0.015 inch to the 0.073 inch scope in below, equator of ball, and this method comprises following each step:

A) select a putter structure, comprise a given striking surface height;

B) select a static high strike bevel angle of curved striking face according to touching the greenery patches speed state; And

C) formula below utilizing calculates the required crooked bending radius of curved striking face according to selected striking surface height and static high strike bevel angle, to guarantee at pure rolling impingement region inner impact to ball:

(1) " A "=sin (static high strike bevel angle) (0.5) (striking surface height)

(2) " C "=tan (static high strike bevel angle) (A) $\left(3\right)h=\sqrt{A^2+C^2}$

(4) diameter=(h ²+ (0.5 striking surface height) ²)/h

(5) bending radius=diameter/2

Wherein, provide among A, C and h Figure 18 in each accompanying drawing.

2. method according to claim 1, wherein, selected static high strike bevel angle is positioned at the scope of 1 ° to 5 ° of about forward.

3. method according to claim 1, wherein, what drawn the time is sent to the scope that dynamic high strike bevel angle on the golf is positioned at 2 ° to 4 ° of about forwards at bump.

4. method according to claim 1, wherein, selected static high strike bevel angle can so customize selection, thereby make, when the cutting-height that is used for grass was about 0.125 inch to 0.156 inch comparatively faster greenery patches, the static high strike bevel angle of the putter curved striking face that is drawn was about 1 ° to 3 ° of forward.

5. method according to claim 1, wherein, selected static high strike bevel angle can so customize selection, thereby make, when the cutting-height that is used for grass was about 0.156 inch to 0.281 inch relative medium speed's greenery patches, the static high strike bevel angle of the putter curved striking face that is drawn was about 2 ° to 4 ° of forwards.

6. method according to claim 1, wherein, selected static high strike bevel angle can so customize selection, thereby make, when the cutting-height that is used for grass was about 0.172 inch to 0.281 inch relatively slow greenery patches, the static high strike bevel angle of the putter curved striking face that is drawn was about 3 ° to 5 ° of forwards.

7. method according to claim 1, in order to be suitable for adopting the dynamic handle angle of pressing before extreme the golfer that touches the mode of impacting to send out, for selected above-mentioned static high strike bevel angle in the preceding step (b), above-mentioned static high strike bevel angle need be increased in the scope of 3 ° to 5 ° of about forwards.

8. method according to claim 1, the dynamic handle angle of sending out for the golfer who is suitable for adopting extreme folding wrist formula to touch the mode of impacting, for selected above-mentioned static high strike bevel angle in the preceding step (b), above-mentioned static high strike bevel angle need be reduced in the scope of 1 ° to 3 ° of about forward.

9. method according to claim 1, by the central point of determining that curve is found in required X and Y displacement, this curve has the best bending radius that is calculated in the preceding step (c), and wherein, X and Y are determined by following formula:

(1) " A "=sin (static high strike bevel angle) (0.5) (striking surface height)

(2) " D "=A/tan (static high strike bevel angle)

(3) " C "=tan (static high strike bevel angle) (A)

(4)“B”＝D+C

(5) " E "=sin (static high strike bevel angle) (striking surface radius)

(6) " Y " size=B-E

(7) " X " size=cos (static high strike bevel angle) (striking surface radius)

Wherein, wherein, provide among A, B, C, D and E Figure 18 in each accompanying drawing.

10. the putter of one group of vertical curved striking face of band, each above-mentioned putter in this group, when having roughly the same striking surface height and static high strike bevel angle, has different bending radius again, thereby in a given date, the golfer can this organize in the putter select that a corresponding putter, this putter can be suitable for the golfer most touch the mode of impacting and the greenery patches state that touches in the given date.

11. putter with improved vertical curved striking face, it has a best bending radius, to guarantee a pure rolling impingement region inner impact at ball to ball, this pure rolling impingement region is positioned at about 0.015 inch to the 0.073 inch scope in below, equator of ball, and the place is improved and comprised following every combination:

A) above-mentioned curved striking face known striking surface height (FH),

B) be the known quiescent state high strike bevel angle that above-mentioned curved striking face is selected,

C) based on above-mentioned known striking surface height (FH) and above-mentioned known static high strike bevel angle, the above-mentioned best bending radius that on above-mentioned curved striking face, is shaped and, the selection of best bending radius will be passed through following formula:

(1) " A "=sin (static high strike bevel angle) (0.5) (striking surface height)

(2) " C "=tan (static high strike bevel angle) (A) $\left(3\right)h=\sqrt{A^2+C^2}$

(4) diameter=(h ²+ (0.5 striking surface height) ²)/h

(5) bending radius=diameter/2

12. the putter with improved vertical curved striking face according to claim 11, wherein, above-mentioned known static high strike bevel angle is positioned at the scope of 1 ° to 5 ° of about forward.

13. one kind is used to a putter with vertical curved striking face to determine the method for best bending radius, it comprises following each step:

A) determine the striking surface height of selected curved striking face putter structure;

B) select a static high strike bevel angle for curved striking face,

C) determine required best bending radius according to the above-mentioned definite striking surface height and the static high strike bevel angle of above-mentioned selection, thereby make, no matter given golfer adopts which kind of putting style and golfer that much tolerance variation self are arranged in this mode, above-mentioned best bending radius can guarantee that all a pure rolling impingement region inner impact below displacement ball equator is to golf, so that ball obtains pure rolling the earliest all the time.

14. method according to claim 13, wherein, above-mentioned pure rolling impingement region is positioned at about 0.015 inch to the 0.073 inch scope in below, equator of ball.

15. method according to claim 13 wherein, is applicable to that the above-mentioned pure rolling impingement region that touches the greenery patches relatively fast is positioned at about 0.015 inch to the 0.044 inch scope in below, equator of ball.

16. method according to claim 13 wherein, is applicable to that relative middling speed touches about 0.024 inch to the 0.059 inch scope in equator below that the above-mentioned pure rolling impingement region in greenery patches is positioned at ball.

17. method according to claim 13 wherein, is applicable to that the above-mentioned pure rolling impingement region that touches the greenery patches relatively at a slow speed is positioned at about 0.044 inch to the 0.073 inch scope in below, equator of ball.

18. one kind with the putter that improves vertical curved striking face, no matter which kind of a given golfer adopts touch the mode of impacting, this putter all can be guaranteed all the time at a pure rolling impingement region inner impact below being positioned at the ball equator to golf, the curved striking face of above-mentioned putter is made it to be shaped by the striking surface height of a selection and the static high strike bevel angle of a selection, above-mentioned curved striking face has one according to above-mentioned striking surface height and static high strike bevel angle and definite best bending radius, above-mentioned striking surface height and static high strike bevel angle are selected from following best bending radius chart, and the above-mentioned best bending radius that draws and being used for is accordingly represented the X and the Y displacement of the center of curve position of this best bending radius that draws and also built on each following best bending radius chart:

Best flexure plane bending radius high strike bevel angle 0.5 0.5 0.5 0.5 0.5 0.5 0.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations for given striking surface height

A＝?0.002 0.002 0.003 0.003 0.003 0.003 0.003

C＝?0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝?0.002 0.002 0.003 0.003 0.003 0.003 0.003

Diameter=28.649 31.514 34.379 37.244 40.109 42.974 45.839

D＝?0.250 0.275 0.300 0.325 0.350 0.375 0.400

B＝?0.250 0.275 0.300 0.325 0.350 0.375 0.400

E＝?0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝?0.125 0.138 0.150 0.163 0.175 0.188 0.200

″X″＝14.324 15.757 17.189 18.621 20.054 21.486 22.919

Bending radius 14.325 15.757 17.190 18.622 20.055 21.487 22.919 high strike bevel angles 1111111 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝?0.004 0.005 0.005 0.006 0.006 0.007 0.007

C＝?0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝?0.004 0.005 0.005 0.006 0.006 0.007 0.007

Diameter=14.327 15.760 17.192 18.625 20.058 21.490 22.923

D＝?0.250 0.275 0.300 0.325 0.350 0.375 0.400

B＝?0.250 0.275 0.300 0.325 0.350 0.375 0.400

E＝?0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝?0.125 0.138 0.150 0.163 0.175 0.188 0.200

″X″＝?7.162 7.879 8.595 9.311 10.027 10.744 11.460

Bending radius 7.163 7.880 8.596 9.312 10.029 10.745 11.461 high strike bevel angles 1.5 1.5 1.5 1.5 1.5 1.5 1.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝?0.007 0.007 0.008 0.009 0.009 0.010 0.010

C＝?0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝?0.007 0.007 0.008 0.009 0.009 0.010 0.010

Diameter=9.554 10.509 11.464 12.420 13.375 14.330 15.286

D＝?0.250 0.275 0.300 0.325 0.350 0.375 0.400

B＝?0.250 0.275 0.300 0.325 0.350 0.375 0.400

E＝?0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝?0.125 0.138 0.150 0.163 0.175 0.188 0.200

″X″＝?4.775 5.253 5.730 6.208 6.685 7.163 7.640

Bending radius 4.777 5.255 5.732 6.210 6.688 7.165 7.643

Best flexure plane bending radius high strike bevel angle 0.5 0.5 0.5 0.5 0.5 0.5 0.5 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation for given striking surface height

A＝ 0.004 0.004 0.004 0.004 0.005 0.005 0.005

C＝ 0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝ 0.004 0.004 0.004 0.004 0.005 0.005 0.005

Diameter=48.704 51.569 54.434 57.299 60.164 63.029 65.893

D＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

B＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

E＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″Y″＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

" X "=24.351 25.783 27.216 28.648 30.081 31.513 32.945 bending radius 24.352 25.784 27.217 28.649 30.082 31.514 32.947 high strike bevel angles 1111111 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculations

A＝ 0.007 0.008 0.008 0.009 0.009 0.010 0.010

C＝ 0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝ 0.007 0.008 0.008 0.009 0.009 0.010 0.010

Diameter=24.356 25.788 27.221 28.654 30.086 31.519 32.952

D＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

B＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

E＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″Y″＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

" X "=12.176 12.892 13.608 14.325 15.041 15.757 16.473 bending radius 12.178 12.894 13.611 14.327 15.043 15.760 16.476 high strike bevel angles 1.5 1.5 1.5 1.5 1.5 1.5 1.5 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculations

A＝ 0.011 0.012 0.012 0.013 0.014 0.014 0.015

C＝ 0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝ 0.011 0.012 0.012 0.013 0.014 0.014 0.015

Diameter=16.241 17.197 18.152 19.107 20.063 21.018 21.973

D＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

B＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

E＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″Y″＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″X″＝ 8.118 8.595 9.073 9.550 10.028 10.505 10.983

Bending radius 8.121 8.598 9.076 9.554 10.031 10.509 10.987

Best flexure plane bending radius high strike bevel angle 0.5 0.5 0.5 0.5 0.5 0.5 0.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations for given striking surface height

A＝ 0.005 0.005 0.006 0.006 0.006 0.006 0.007

C＝ 0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝ 0.005 0.005 0.006 0.006 0.006 0.006 0.007

Diameter=68.758 71.623 74.488 77.353 80.218 83.083 85.948

D＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

B＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

E＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″Y″＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″X″＝?34.378 35.810 37.243 38.675 40.108 41.540 42.972

Bending radius 34.379 35.812 37.244 38.677 40.109 41.542 42.974 high strike bevel angles 1111111 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.010 0.011 0.011 0.012 0.012 0.013 0.013

C＝ 0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝ 0.010 0.011 0.011 0.012 0.012 0.013 0.013

Diameter=34.384 35.817 37.250 38.683 40.115 41.548 42.981

D＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

B＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

E＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″Y″＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″X″＝?17.190 17.906 18.622 19.338 20.055 20.771 21.487

Bending radius 17.192 17.909 18.625 19.341 20.058 20.774 21.490 high strike bevel angles 1.5 1.5 1.5 1.5 1.5 1.5 1.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.016 0.016 0.017 0.018 0.018 0.019 0.020

C＝ 0.000 0.000 0.000 0.000 0.000 0.000 0.001

h＝ 0.016 0.016 0.017 0.018 0.018 0.019 0.020

Diameter=22.929 23.884 24.840 25.795 26.750 27.706 28.661

D＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

B＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

E＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″Y″＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

" X "=11.460 11.938 12.416 12.893 13.371 13.848 14.326 bending radius 11.464 11.942 12.420 12.897 13.375 13.853 14.330

Best flexure plane bending radius high strike bevel angle 2222222 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations for given striking surface height

A＝ 0.009 0.010 0.010 0.011 0.012 0.013 0.014

C＝ 0.000 0.000 0.000 0.000 0.000 0.000 0.000

h＝ 0.009 0.010 0.010 0.011 0.012 0.013 0.014

Diameter=7.168 7.885 8.601 9.318 10.035 10.752 11.468

D＝ 0.250 0.275 0.300 0.325 0.350 0.375 0.400

B＝ 0.250 0.275 0.300 0.325 0.350 0.375 0.400

E＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝ 3.582 3.940 4.298 4.656 5.014 5.373 5.731

Bending radius 3.584 3.942 4.301 4.659 5.017 5.376 5.734 high strike bevel angles 2.5 2.5 2.5 2.5 2.5 2.5 2.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.011 0.012 0.013 0.014 0.015 0.016 0.017

C＝ 0.000 0.001 0.001 0.001 0.001 0.001 0.001

h＝ 0.011 0.012 0.013 0.014 0.015 0.016 0.017

Diameter=5.737 6.311 6.884 7.458 8.032 8.605 9.179

D＝ 0.250 0.275 0.300 0.325 0.350 0.375 0.400

B＝ 0.250 0.275 0.300 0.325 0.350 0.375 0.400

E＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″X″＝ 2.866 3.152 3.439 3.725 4.012 4.299 4.585

Bending radius 2.868 3.155 3.442 3.729 4.016 4.303 4.589 high strike bevel angles 3333333 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.013 0.014 0.016 0.017 0.018 0.020 0.021

C＝ 0.001 0.001 0.001 0.001 0.001 0.001 0.001

h＝ 0.013 0.014 0.016 0.017 0.018 0.020 0.021

Diameter=4.783 5.262 5.740 6.218 6.697 7.175 7.653

D＝ 0.250 0.275 0.300 0.325 0.350 0.374 0.399

B＝ 0.250 0.275 0.300 0.325 0.350 0.376 0.401

E＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″X″＝ 2.388 2.627 2.866 3.105 3.344 3.583 3.821

Bending radius 2.392 2.631 2.870 3.109 3.348 3.588 3.827 high strike bevel angles 3.5 3.5 3.5 3.5 3.5 3.5 3.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.015 0.017 0.018 0.020 0.021 0.023 0.024

C＝ 0.001 0.001 0.001 0.001 0.001 0.001 0.001

h＝ 0.015 0.017 0.018 0.020 0.021 0.023 0.024

Diameter=4.103 4.513 4.923 5.334 5.744 6.1 54 6.564

D＝ 0.250 0.274 0.299 0.0324 0.349 0.374 0.399

B＝ 0.250 0.276 0.301 0.326 0.351 0.376 0.401

0.138 0.150 0.163 0.175 0.188 0.200 " X "=2.048, E=0.125 0.138 0.150 0.163 0.175 0.188 0.200 " Y "=0.125,2.252 2.457 2.662 2.867 3.071 3.276 bending radius 2.051 2.257 2.462 2.667 2.872 3.077 3.282

Best flexure plane bending radius high strike bevel angle 2222222 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation for given striking surface height

A＝ 0.015 0.016 0.017 0.017 0.018 0.019 0.020

C＝ 0.001 0.001 0.001 0.001 0.001 0.001 0.001

h＝ 0.015 0.016 0.017 0.017 0.018 0.019 0.020

Diameter 12.185 12.902 13.619 14.336 15.052 15.769 16.486

D＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

B＝ 0.425 0.450 0.475 0.500 0.525 0.550 0.575

E＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″Y″＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″X″＝ 6.089 6.447 6.805 7.163 7.522 7.880 8.238

Bending radius 6.093 6.451 6.809 7.168 7.526 7.885 8.243 high strike bevel angles 2.5 2.5 2.5 2.5 2.5 2.5 2.5 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.019 0.020 0.021 0.022 0.023 0.024 0.025

C＝ 0.001 0.001 0.001 0.001 0.001 0.001 0.001

h＝ 0.019 0.020 0.021 0.022 0.023 0.024 0.025

Diameter 9.753 10.326 10.900 11.474 12.047 12.621 13.195

D＝ 0.425 0.450 0.475 0.500 0.525 0.549 0.574

B＝ 0.425 0.450 0.475 0.500 0.526 0.551 0.576

E＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″Y″＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″X″＝ 4.872 5.158 5.445 5.731 6.018 6.305 6.591

Bending radius 4.876 5.163 5.450 5.737 6.024 6.311 6.597 high strike bevel angles 3333333 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.022 0.024 0.025 0.026 0.027 0.029 0.030

C＝ 0.001 0.001 0.001 0.001 0.001 0.002 0.002

h＝ 0.022 0.024 0.025 0.026 0.028 0.029 0.030

Diameter 8.132 8.610 9.088 9.567 10.045 10.523 11.002

D＝ 0.424 0.449 0.474 0.499 0.524 0.549 0.574

B＝ 0.426 0.451 0.476 0.501 0.526 0.551 0.576

E＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″Y″＝ 0.213 0.225 0.238 0.250 0.263 0.275 0.288

″X″＝ 4.060 4.299 4.538 4.777 5.016 5.255 5.493

Bending radius 4.066 4.305 4.544 4.783 5.023 5.262 5.501 high strike bevel angles 3.5 3.5 3.5 3.5 3.5 3.5 3.5 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.026 0.027 0.029 0.031 0.032 0.034 0.035

C＝ 0.002 0.002 0.002 0.002 0.002 0.002 0.002

h＝ 0?026 0.028 0.029 0.031 0.032 0.034 0.035

Diameter=6.975 7.385 7.795 8.206 8.61 6 9.026 9.436

D＝ 0.424 0.449 0.474 0.499 0.524 0.549 0.574

B＝ 0.426 0.451 0.476 0.501 0.526 0.551 0.576

E＝ 0.213 0.225 0.238 0.250 0.263 0.276 0.288

″Y″＝ 0.213 0.225 0.238 0.250 0.263 0.276 0.288

″X″＝ 3.481 3.686 3.890 4.095 4.300 4.505 4.709

Bending radius 3.487 3.692 3.898 4.103 4.308 4.513 4.718

Best flexure plane bending radius high strike bevel angle 2222222 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations in given striking surface height

A＝ 0.021 0.022 0.023 0.024 0.024 0.025 0.026

C＝ 0.001 0.001 0.001 0.001 0.001 0.001 0.001

h＝ 0.021 0.022 0.023 0.024 0.024 0.025 0.026

Diameter=17.203 17.919 18.636 19.353 20.070 20.787 21.503

D＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

B＝ 0.600 0.625 0.650 0.675 0.700 0.725 0.750

E＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″Y″＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″X″＝ 8.596 8.954 9.312 9.671 10.029 10.387 10.745

Bending radius 8.601 8.960 9.318 9.677 10.035 10.393 10.752 high strike bevel angles 2.5 2.5 2.5 2.5 2.5 2.5 2.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.026 0.027 0.028 0.029 0.031 0.032 0.033

C＝ 0.001 0.001 0.001 0.001 0.001 0.001 0.001

H=0.026 0.027 0.028 0.029 0.031 0.032 0.033 diameter=13.768 14.342 14.916 15.490 16.063 16.637 17.211

D＝ 0.599 0.624 0.649 0.674 0.699 0.724 0.749

B＝ 0.601 0.626 0.651 0.676 0.701 0.726 0.751

E＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″Y″＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.375

″X″＝ 6.878 7.164 7.451 7.737 8.024 8.311 8.597

Bending radius 6.884 7.171 7.458 7.745 8.032 8.318 8.605 high strike bevel angles 3333333 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.031 0.033 0.034 0.035 0.037 0.038 0.039

C＝ 0.002 0.002 0.002 0.002 0.002 0.002 0.002

h＝ 0.031 0.033 0.034 0.035 0.037 0.038 0.039

Diameter=11.480 11.958 12.437 12.915 13.393 13.872 14.350

D＝ 0.599 0.624 0.649 0.674 0.699 0.724 0.749

B＝ 0.601 0.626 0.651 0.676 0.701 0.726 0.751

E＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.376

″Y″＝ 0.300 0.313 0.325 0.338 0.350 0.363 0.376

″X″＝ 5.732 5.971 6.210 6.449 6.688 6.926 7.165

Bending radius 5.740 5.979 6.218 6.458 6.697 6.936 7.175 high strike bevel angles 3.5 3.5 3.5 3.5 3.5 3.5 3.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0?037 0.038 0.040 0.041 0?043 0.044 0.046

C＝ 0.002 0.002 0.002 0.003 0.003 0.003 0.003

h＝ 0?037 0.038 0.040 0.041 0.043 0.044 0.046

Diameter=9.847 10.257 10.667 11.077 11.488 11.898 12.308

D＝ 0.599 0.624 0.649 0.674 0.699 0.724 0.749

B＝ 0.601 0.626 0.651 0.676 0.701 0.726 0.751

E＝ 0.301 0.313 0.326 0.338 0.351 0.363 0.376

″Y″＝ 0.301 0.313 0.326 0.338 0.351 0.363 0.376

″X″＝ 4.94 5.119 5.324 5.528 5.733 5.938 6.143

Bending radius 4.923 5.128 5.334 5.539 5.744 5.949 6.154

Best flexure plane bending radius high strike bevel angle 4444444 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations for given striking surface height

A＝ 0.017 0.019 0.021 0.023 0.024 0.026 0.028

C＝ 0.001 0.001 0.001 0.002 0.002 0.002 0.002

h＝ 0.017 0.019 0.021 0.023 0.024 0.026 0.028

Diameter=3.593 3.952 4.311 4.670 5.030 5.389 5.748

D＝ 0.249 0.274 0.299 0.324 0.349 0.374 0.399

B＝ 0.251 0.276 0.301 0.326 0.351 0.376 0.401

E＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″Y″＝ 0.125 0.138 0.150 0.163 0.175 0.188 0.200

″X″＝ 1.792 1.971 2.150 2.330 2.509 2.688 2.867

Bending radius 1.796 1.976 2.156 2.335 2.515 2.694 2.874 high strike bevel angles 4.5 4.5 4.5 4.5 4.5 4.5 4.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.020 0.022 0.024 0.025 0.027 0.029 0.031

C＝ 0.002 0.002 0.002 0.002 0.002 0.002 0.002

h＝ 0.020 0.022 0.024 0.026 0.028 0.030 0.031

Diameter=3.196 3.516 3.835 4.155 4.475 4.794 5.114

D＝ 0.249 0.274 0.299 0.324 0.349 0.374 0.399

B＝ 0.251 0.276 0.301 0.326 0.351 0.376 0.401

E＝ 0.125 0.138 0.150 0.163 0.176 0.188 0.201

″Y″＝ 0.125 0.138 0.150 0.163 0.176 0.188 0.201

″X″＝ 1.593 1.753 1.912 2.071 2.230 2.390 2.549

Bending radius 1.598 1.758 1.918 2.078 2.237 2.397 2.557 high strike bevel angles 5555555 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.022 0.024 0.026 0.028 0.031 0.033 0.035

C＝ 0.002 0.002 0.002 0.002 0.003 0.003 0.003

h＝ 0.022 0.024 0.026 0.028 0.031 0.033 0.035

Diameter=2.879 3.167 3.455 3.743 4.031 4.319 4.607

D＝ 0.249 0.274 0.299 0.324 0.349 0.374 0.398

B＝ 0.251 0.276 0.301 0.326 0.351 0.376 0.402

E＝ 0.125 0.138 0.151 0.163 0.176 0.188 0.201

″Y″＝ 0.125 0.138 0.151 0.163 0.176 0.188 0.201

″X″＝ 1.434 1.578 1.721 1.864 2.008 2.151 2.295

Bending radius 1.440 1.584 1.728 1.872 2.016 2.160 2.304 high strike bevel angles 5.5 5.5 5.5 5.5 5.5 5.5 5.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.024 0.026 0.029 0.031 0.034 0.036 0.038

C＝ 0.002 0.003 0.003 0.003 0.003 0.003 0.004

h＝ 0.024 0.026 0.029 0.031 0.034 0.036 0.039

Diameter=2.620 2.882 3.145 3.407 3.669 3.931 4.193

D＝ 0.249 0.274 0.299 0.324 0.348 0.373 0.398

B＝ 0.251 0.276 0.301 0.327 0.352 0.377 0.402

E＝ 0.126 0.138 0.151 0.163 0.176 0.188 0.201

″Y″＝ 0.126 0.138 0.151 0.163 0.176 0.188 0.201

″X″＝ 1.304 1.435 1.565 1.695 1.826 1.956 2.087

Bending radius 1.310 1.441 1.572 1.703 1.834 1.965 2.096

Best flexure plane bending radius high strike bevel angle 4444444 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation for given striking surface height

A＝ 0.030 0.031 0.033 0.035 0.037 0.038 0.040

C＝ 0.002 0.002 0.002 0.002 0.003 0.003 0.003

h＝ 0.030 0.031 0.033 0.035 0.037 0.038 0.040

Diameter=6.108 6.467 6.826 7.185 7.545 7.904 8.263

D＝ 0.424 0.449 0.474 0.499 0.524 0.549 0.574

B＝ 0.426 0.451 0.476 0.501 0.526 0.551 0.576

E＝ 0.213 0.226 0.238 0.251 0.263 0.276 0.288

″Y″＝ 0.213 0.226 0.238 0.251 0.263 0.276 0.288

″X″＝ 3.046 3.226 3.405 3.584 3.763 3.942 4.121

Bending radius 3.054 3.233 3.413 3.593 3.772 3.952 4.132 high strike bevel angles 4.5 4.5 4.5 4.5 4.5 4.5 4.5 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.033 0.035 0.037 0.039 0.041 0.043 0.045

C＝ 0.003 0.003 0.003 0.003 0.003 0.003 0.004

h＝ 0.033 0.035 0.037 0.039 0.041 0.043 0.045

Diameter=5.434 5.753 6.073 6.392 6.712 7.032 7.351

D＝ 0.424 0.449 0.474 0.498 0.523 0.548 0.573

B＝ 0.426 0.451 0.476 0.502 0.527 0.552 0.577

E＝ 0.213 0.226 0.238 0.251 0.263 0.276 0.288

″Y″＝ 0.213 0.226 0.238 0.251 0.263 0.276 0.288

″X″＝ 2.708 2.868 3.027 3.186 3.346 3.505 3.664

Bending radius 2.717 2.877 3.036 3.196 3.356 3.516 3.676 high strike bevel angles 5555555 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.037 0.039 0.041 0.044 0.046 0.048 0.050

C＝ 0.003 0.003 0.004 0.004 0.004 0.004 0.004

h＝ 0.037 0.039 0.042 0.044 0.046 0.048 0.050

Diameter=4.895 5.183 5.471 5.759 6.047 6.335 6.623 D=0.423 0.448 0.473 0.498 0.523 0.548 0.573

B＝ 0.427 0.452 0.477 0.502 0.527 0.552 0.577

E＝ 0.213 0.226 0.238 0.251 0.264 0.276 0.289

″Y″＝ 0.213 0.226 0.238 0.251 0.264 0.276 0.289

″X″＝ 2.438 2.722 2.725 2.868 3.012 3.155 3.299

Bending radius 2.447 2.591 2.735 2.879 3.023 3.167 3.311 high strike bevel angles 5.5 5.5 5.5 5.5 5.5 5.5 5.5 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.041 0.043 0.046 0.048 0.050 0.053 0.055

C＝ 0.004 0.004 0.004 0.005 0.005 0.005 0.005

h＝ 0.041 0.043 0.046 0.048 0.051 0.053 0.055

Diameter=4.455 4.717 4.979 5.241 5.503 5.765 6.027

D＝ 0.423 0.448 0.473 0.498 0.523 0.547 0.572

B＝ 0.427 0.452 0.477 0.502 0.527 0.553 0.578

E＝ 0.213 0.226 0.239 0.251 0.264 0.276 0.289

″Y″＝ 0.213 0.226 0.239 0.251 0.264 0.276 0.289

″X″＝ 2.217 2.348 2.478 2.608 2.739 2.869 3.000

Bending radius 2.227 2.358 2.489 2.620 2.751 2.882 3.013

Best flexure plane bending radius high strike bevel angle 4444444 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations for given striking surface height

A＝ 0.042 0.044 0.045 0.047 0.049 0.051 0.052

C＝ 0.003 0.003 0.003 0.003 0.003 0.004 0.004

h＝ 0.042 0.044 0.045 0.047 0.049 0.051 0.052

Diameter=8.622 8.982 9.341 9.700 10.059 10.419 10.778

D＝ 0.599 0.623 0.648 0.673 0.698 0.723 0.748

B＝ 0.601 0.627 0.652 0.677 0.702 0.727 0.752

E＝ 0.301 0.313 0.326 0.338 0.351 0.363 0.376

″Y″＝ 0.301 0.313 0.326 0.338 0.351 0.363 0.376

″X″＝ 4.301 4.480 4.659 4.838 5.017 5.197 5.376

Bending radius 4.311 4.491 4.670 4.850 5.030 5.209 5.389 high strike bevel angles 4.5 4.5 4.5 4.5 4.5 4.5 4.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.047 0.049 0.051 0.053 0.055 0.057 0.059

C＝ 0.004 0.004 0.004 0.004 0.004 0.004 0.005

h＝ 0.047 0.049 0.051 0.053 0.055 0.057 0.059

Diameter=7.671 7.991 8.310 8.630 8.949 9.269 9.589

D＝ 0.598 0.623 0.648 0.673 0.698 0.723 0.748

B＝ 0.602 0.627 0.652 0.677 0.702 0.727 0.752

E＝ 0.301 0.313 0.326 0.339 0.351 0.364 0.376

″Y″＝ 0.301 0.313 0.326 0.339 0.351 0.364 0.376

″X″＝ 3.824 3.983 4.142 4.302 4.461 4.620 4.780

Bending radius 3.835 3.995 4.155 4.315 4.475 4.635 4.794 high strike bevel angles 5555555 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.052 0.054 0.057 0.059 0.061 0.063 0.065

C＝ 0.005 0.005 0.005 0.005 0.005 0.006 0.006

h＝ 0.052 0.055 0.057 0.059 0.061 0.063 0.066

Diameter=6.911 7.198 7.486 7.774 8.062 8.350 8.638

D＝ 0.598 0.623 0.648 0.672 0.697 0.722 0.747

B＝ 0.602 0.627 0.652 0.678 0.703 0.728 0.753

E＝ 0.301 0.314 0.326 0.339 0.351 0.364 0.376

″Y″＝ 0.301 0.314 0.326 0.339 0.351 0.364 0.376

″X″＝ 3.442 3.586 3.729 3.872 4.016 4.159 4.303

Bending radius 3.455 3.599 3.743 3.887 4.031 4.175 4.319 high strike bevel angles 5.5 5.5 5.5 5.5 5.5 5.5 5.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.058 0.060 0.062 0.065 0.067 0.069 0.072

C＝ 0.006 0.006 0.006 0.006 0.006 0.007 0.007

h＝ 0.058 0.060 0.063 0.065 0.067 0.070 0.072

Diameter=6.289 6.551 6.813 7.075 7.337 7.599 7.861

D＝ 0.597 0.622 0.647 0.672 0.697 0.722 0.747

B＝ 0.603 0.628 0.653 0.678 0.703 0.728 0.753

E＝ 0.301 0.314 0.327 0.339 0.352 0.364 0.377

″Y″＝ 0.301 0.314 0.327 0.339 0.352 0.364 0.377

″X″＝ 3.130 3.260 3.391 3.521 3.652 3.782 3.913

Bending radius 3.145 3.276 3.407 3.538 3.669 3.800 3.931

Best flexure plane bending radius high strike bevel angle 6666666 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations for given striking surface height

A＝ 0.026 0.029 0.031 0.034 0.037 0.039 0.042

C＝ 0.003 0.003 0.003 0.004 0.004 0.004 0.004

h＝ 0.026 0.029 0.032 0.034 0.037 0.039 0.042

Diameter=2.405 2.645 2.886 3.126 3.367 3.607 3.848

D＝ 0.249 0.273 0.298 0.323 0.348 0.373 0.398

B＝ 0.251 0.277 0.302 0.327 0.352 0.377 0.402

E＝ 0.126 0.138 0.151 0.163 0.176 0.189 0.201

″Y″＝ 0.126 0.138 0.151 0.163 0.176 0.189 0.201

″X″＝ 1.196 1.315 1.435 1.555 1.674 1.794 1.913

Bending radius 1.202 1.323 1.443 1.563 1.683 1.804 1.924 high strike bevel angles 6.5 6.5 6.5 6.5 6.5 6.5 6.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.028 0.031 0.034 0.037 0.040 0.042 0.045

C＝ 0.003 0.004 0.004 0.004 0.005 0.005 0.005

h＝ 0.028 0.031 0.034 0.037 0.040 0.043 0.046

Diameter=2.223 2.445 2.667 2.890 3.112 3.334 3.556

D＝ 0.248 0.273 0.298 0.323 0.348 0.373 0.397

B＝ 0.252 0.277 0.302 0.327 0.352 0.377 0.403

E＝ 0.126 0.138 0.151 0.164 0.176 0.189 0.201

″Y″＝ 0.126 0.138 0.151 0.164 0.176 0.189 0.201

″X″＝ 1.104 1.215 1.325 1.435 1.546 1.656 1.767

Bending radius 1.111 1.222 1.334 1.445 1.556 1.667 1.778 high strike bevel angles 7777777 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.030 0.034 0.037 0.040 0.043 0.046 0.049

C＝ 0.004 0.004 0.004 0.005 0.005 0.006 0.006

h＝ 0.031 0.034 0.037 0.040 0.043 0.046 0.049

Diameter=2.067 2.273 2.480 2.687 2.893 3.100 3.307

D＝ 0.248 0.273 0.298 0.323 0.347 0.372 0.397

B＝ 0.252 0.277 0.302 0.327 0.353 0.378 0.403

E＝ 0.126 0.139 0.151 0.164 0.176 0.189 0.202

″r″＝ 0.126 0.139 0.151 0.164 0.176 0.189 0.202

″X″＝ 1.026 1.128 1.231 1.333 1.436 1.539 1.641

Bending radius 1.033 1.137 1.240 1.343 1.447 1.550 1.653 high strike bevel angles 7.5 7.5 7.5 7.5 7.5 7.5 7.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.033 0.036 0.039 0.042 0.046 0.049 0.052

C＝ 0.004 0.005 0.005 0.006 0.006 0.006 0.007

h＝ 0.033 0.036 0.039 0.043 0.046 0.049 0.053

Diameter=1.932 2.125 2.318 2.511 2.705 2.898 3.091

D＝ 0.248 0.273 0.297 0.322 0.347 0.372 0.3997

B＝ 0.252 0.277 0.303 0.328 0.353 0.378 0.403

E＝ 0.126 0.139 0.151 0.164 0.177 0.189 0.202

″Y″＝ 0.126 0.139 0.151 0.164 0.177 0.189 0.202

″X″＝ 0.958 1.053 1.149 1.245 1.341 1.436 1.532

Bending radius 0.966 1.063 1.159 1.256 1.352 1.449 1.545

Best flexure plane bending radius high strike bevel angle 6666666 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation for given striking surface height

A＝ 0.044 0.047 0.050 0.052 0.055 0.057 0.060

C＝ 0.005 0.005 0.005 0.005 0.006 0.006 0.006

h＝ 0.045 0.047 0.050 0.053 0.055 0.058 0.060

Diameter=4.088 4.329 4.569 4.810 5.050 5.291 5.531

D＝ 0.423 0.448 0.472 0.497 0.522 0.547 0.572

B＝ 0.427 0.452 0.478 0.503 0.528 0.553 0.578

E＝ 0.214 0.226 0.239 0.251 0.264 0.277 0.289

″Y″＝ 0.214 0.226 0.239 0.251 0.264 0.277 0.289

" X "=2.033 2.153 2.272 2.392 2.511 2.631 2.750 bending radius, 2.044 2.164 2.285 2.405 2.525 2.645 2.766 high strike bevel angles, 6.5 6.5 6.5 6.5 6.5 6.5 6.5 striking surface height, 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.048 0.051 0.054 0.057 0.059 0.062 0.065

C＝ 0.005 0.006 0.006 0.006 0.007 0.007 0.007

h＝ 0.048 0.051 0.054 0.057 0.060 0.063 0.066

Diameter=3.779 4.001 4.223 4.445 4.668 4.890 5.112

D＝ 0.422 0.447 0.472 0.497 0.522 0.546 0.571

B＝ 0.428 0.453 0.478 0.503 0.528 0.554 0.579

E＝ 0.214 0.226 0.239 0.252 0.264 0.277 0.289

″Y″＝ 0.214 0.226 0.239 0.252 0.264 0.277 0.289

" X "=1.877 1.988 2.098 2.208 2.319 2.429 2.540 bending radius, 1.889 2.000 2.112 2.223 2.334 2.445 2.556 high strike bevel angles, 7777777 striking surface height, 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.052 0.055 0.058 0.061 0.064 0.067 0.070

C＝ 0.006 0.007 0.007 0.007 0.008 0.008 0.009

H=0.052 0.055 0.058 0.061 0.064 0.068 0.071 diameter=3.514 3.720 3.927 4.134 4.340 4.547 4.754

D＝ 0.422 0.447 0.471 0.496 0.521 0.546 0.571

B＝ 0.428 0.453 0.479 0.504 0.529 0.554 0.579

E＝ 0.214 0.227 0.239 0.252 0.264 0.277 0.290

″Y″＝ 0.214 0.227 0.239 0.252 0.264 0.277 0.290

" X "=1.744 1.846 1.949 2.051 2.154 2.257 2.359 bending radius, 1.757 1.860 1.963 2.067 2.170 2.273 2.377 high strike bevel angles, 7.5 7.5 7.5 7.5 7.5 7.5 7.5 striking surface height, 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.055 0.059 0.062 0.065 0.069 0.072 0.075

C＝ 0.007 0.008 0.008 0.009 0.009 0.009 0.010

h＝ 0.056 0.059 0.063 0.066 0.069 0.072 0.076

Diameter=3.284 3.477 3.671 3.864 4.057 4.250 4.443

D＝ 0.421 0.446 0.471 0.496 0.521 0.545 0.570

B＝ 0.429 0.454 0.479 0.504 0.530 0.555 0.580

E＝ 0.214 0.227 0.240 0.252 0.265 0.277 0.290

″Y″＝ 0.214 0.227 0.240 0.252 0.265 0.277 0.290

" X "=1.628 1.724 1.820 1.915 2.011 2.107 2.203 bending radius 1.642 1.739 1.835 1.932 2.028 2.125 2.222

Best flexure plane bending radius high strike bevel angle 6666666 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations for given striking surface height

A＝ 0.063 0.065 0.068 0.071 0.073 0.076 0.078

C＝ 0.007 0.007 0.007 0.007 0.008 0.008 0.008

h＝ 0.063 0.066 0.068 0.071 0.074 0.076 0.079

Diameter=5.772 6.012 6.253 6.493 6.734 6.974 7.215

D＝ 0.597 0.622 0.646 0.671 0.696 0.721 0.746

B＝ 0.603 0.628 0.654 0.679 0.704 0.729 0.754

E＝ 0.302 0.314 0.327 0.339 0.352 0.364 0.377

″Y″＝ 0.302 0.314 0.327 0.339 0.352 0.364 0.377

″X″＝ 2.870 2.990 3.109 3.229 3.348 3.468 3.588

Bending radius 2.886 3.006 3.126 3.247 3.367 3.487 3.607 high strike bevel angles 6.5 6.5 6.5 6.5 6.5 6.5 6.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.068 0.071 0.074 0.076 0.079 0.082 0.085

C＝ 0.008 0.008 0.008 0.009 0.009 0.009 0.010

h＝ 0.068 0.071 0.074 0.077 0.080 0.083 0.085

Diameter=5.334 5.557 5.779 6.001 6.224 6.446 6.668

D＝ 0.596 0.621 0.646 0.671 0.696 0.720 0.745

B＝ 0.604 0.629 0.654 0.679 0.705 0.730 0.755

E＝ 0.302 0.315 0.327 0.340 0.352 0.365 0.377

″Y″＝ 0.302 0.315 0.327 0.340 0.352 0.365 0.377

″X″＝ 2.650 2.761 2.871 2.981 3.092 3.202 3.313

Bending radius 2.667 2.778 2.890 3.001 3.112 3.223 3.334 high strike bevel angles 7777777 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.073 0.076 0.079 0.082 0.085 0.088 0.091

C＝ 0.009 0.009 0.010 0.010 0.010 0.011 0.011

h＝ 0.074 0.077 0.080 0.083 0.086 0.089 0.092

Diameter=4.960 5.167 5.374 5.580 5.787 5.994 6.200

D＝ 0.596 0.620 0.645 0.670 0.695 0.720 0.744

B＝ 0.605 0.630 0.655 0.680 0.705 0.730 0.756

E＝ 0.302 0.315 0.327 0.340 0.353 0.365 0.378

″Y″＝ 0.302 0.315 0.327 0.340 0.353 0.365 0.378

″X″＝ 2.462 2.564 2.667 2.769 2.872 2.974 3.077

Bending radius 2.480 2.583 2.687 2.790 2.893 2.997 3.100 high strike bevel angles 7.5 7.5 7.5 7.5 7.5 7.5 7.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.078 0.082 0.085 0.088 0.091 0.095 0.098

C＝ 0.010 0.011 0.011 0.012 0.012 0.012 0.013

h＝ 0.079 0.082 0.086 0.089 0.092 0.095 0.099

Diameter=4.636 4.830 5.023 5.216 5.409 5.602 5.796

D＝ 0.595 0.620 0.644 0.669 0.694 0.719 0.744

B＝ 0.605 0.630 0.656 0.681 0.706 0.731 0.756

E＝ 0.303 0.315 0.328 0.340 0.353 0.366 0.378

″Y″＝ 0.303 0.315 0.328 0.340 0.353 0.366 0.378

″X″＝ 2.298 2.394 2.490 2.586 2.681 2.777 2.873

Bending radius 2.318 2.415 2.511 2.608 2.705 2.801 2.898

Best flexure plane bending radius high strike bevel angle 8888888 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations for given striking surface height

A＝ 0.035 0.038 0.042 0.045 0.049 0.052 0.056

C＝ 0.005 0.005 0.006 0.006 0.007 0.007 0.008

h＝ 0.035 0.039 0.042 0.046 0.049 0.053 0.056

Diameter=1.814 1.995 2.177 2.358 2.540 2.721 2.902

D＝ 0.248 0.272 0.297 0.322 0.347 0.371 0.396

B＝ 0.252 0.278 0.303 0.328 0.353 0.379 0.404

E＝ 0.126 0.139 0.151 0.164 0.177 0.189 0.202

″Y″＝ 0.126 0.139 0.151 0.164 0.177 0.189 0.202

″X″＝ 0.898 0.988 1.078 1.168 1.257 1.347 1.437

Bending radius 0.907 0.998 1.088 1.179 1.270 1.360 1.451 high strike bevel angle 8.5 8.5 8.5 8.5 8.5 8.5 8.5 striking surface height 0.5 0.55 0.6 0.65 0.7 0.75 0.8 result of calculations

A＝ 0.037 0.041 0.044 0.048 0.052 0.055 0.059

C＝ 0.006 0.006 0.007 0.007 0.008 0.008 0.009

h＝ 0.037 0.041 0.045 0.049 0.052 0.056 0.060

Diameter=1.710 1.881 2.052 2.223 2.394 2.565 2.736

D＝ 0.247 0.272 0.297 0.321 0.346 0.371 0.396

B＝ 0.253 0.278 0.303 0.329 0.354 0.379 0.404

E＝ 0.126 0.139 0.152 0.164 0.177 0.190 0.202

″Y″＝ 0.126 0.139 0.152 0.164 0.177 0.190 0.202

″X″＝ 0.846 0.930 1.015 1.099 1.184 1.269 1.353

Bending radius 0.855 0.941 1.026 1.112 1.197 1.283 1.368

Best flexure plane bending radius high strike bevel angle 8888888 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation for given striking surface height

A＝ 0.059 0.063 0.066 0.070 0.073 0.077 0.080

C＝ 0.008 0.009 0.009 0.010 0.010 0.011 0.011

h＝ 0.060 0.063 0.067 0.070 0.074 0.077 0.081

Diameter=3.084 3.265 3.447 3.628 3.809 3.991 4.172

D＝ 0.421 0.446 0.470 0.495 0.520 0.545 0.569

B＝ 0.429 0.454 0.480 0.505 0.530 0.555 0.581

E＝ 0.215 0.227 0.240 0.252 0.265 0.278 0.290

″Y″＝ 0.215 0.227 0.240 0.252 0.265 0.278 0.290

″X″＝ 1.527 1.617 1.707 1.796 1.886 1.976 2.066

Bending radius 1.542 1.633 1.723 1.814 1.905 1.995 2.086 high strike bevel angles 8.5 8.5 8.5 8.5 8.5 8.5 8.5 striking surface height 0.85 0.9 0.95 1 1.05 1.1 1.15 result of calculation

A＝ 0.063 0.067 0.070 0.074 0.078 0.081 0.085

C＝ 0.009 0.010 0.010 0.011 0.012 0.012 0.013

h＝ 0.064 0.067 0.071 0.075 0.078 0.082 0.086

Diameter=2.907 3.078 3.249 3.420 3.591 3.762 3.933

D＝ 0.420 0.445 0.470 0.495 0.519 0.544 0.569

B＝ 0.430 0.455 0.480 0.506 0.531 0.556 0.581

E＝ 0.215 0.227 0.240 0.253 0.265 0.278 0.291

″Y″＝ 0.215 0.227 0.240 0.253 0.265 0.278 0.291

″X″＝ 1.438 1.522 1.607 1.691 1.776 1.861 1.945

Bending radius 1.454 1.539 1.625 1.710 1.796 1.881 1.967

Best flexure plane bending radius high strike bevel angle 8888888 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations for given striking surface height

A＝ 0.084 0.087 0.090 0.094 0.097 0.101 0.104

C＝ 0.012 0.012 0.013 0.013 0.014 0.014 0.015

h＝ 0.084 0.088 0.091 0.095 0.098 0.102 0.105

Diameter=4.354 4.535 4.716 4.898 5.079 5.261 5.442

D＝ 0.594 0.619 0.644 0.668 0.693 0.718 0.743

B＝ 0.606 0.631 0.656 0.682 0.707 0.732 0.757

E＝ 0.303 0.316 0.328 0.341 0.353 0.366 0.379

″Y″＝ 0.303 0.316 0.328 0.341 0.353 0.366 0.379

″X″＝ 2.156 2.245 2.335 2.425 2.515 2.605 2.694

Bending radius 2.177 2.267 2.358 2.449 2.540 2.630 2.721 high strike bevel angles 8.5 8.5 8.5 8.5 8.5 8.5 8.5 striking surface height 1.2 1.25 1.3 1.35 1.4 1.45 1.5 result of calculations

A＝ 0.089 0.092 0.096 0.100 0.103 0.107 0.111

C＝ 0.013 0.014 0.014 0.015 0.015 0.016 0.017

h＝ 0.090 0.093 0.097 0.101 0.105 0.108 0.112

Diameter=4.104 4.275 4.446 4.617 4.788 4.959 5.130

D＝ 0.593 0.618 0.643 0.668 0.692 0.717 0.742

B＝ 0.607 0.632 0.657 0.682 0.708 0.733 0.758

E＝ 0.303 0.316 0.329 0.341 0.354 0.367 0.379

″Y″＝ 0.303 0.316 0.329 0.341 0.354 0.367 0.379

″X″＝ 2.030 2.114 2.199 2.283 2.368 2.452 2.537

Bending radius 2.052 2.138 2.223 2.309 2.394 2.480 2.565 above-mentioned each chart comprise Figure 20 A to 20E-3 in the accompanying drawing.

19. band according to claim 18 improves the putter of curved striking face, wherein, above-mentioned pure rolling impingement region is positioned at about 0.015 inch to the 0.073 inch scope in below, equator of ball.

20. one kind with the putter that improves vertical curved striking face, a curved striking face be shaped on it so that have a best bending radius, like this, no matter which kind of a given golfer adopts touch the mode of impacting, all can guarantee all the time at a pure rolling impingement region inner impact below being positioned at the ball equator to golf, above-mentioned curved striking face has a given striking surface height and a static high strike bevel angle that is selected from, and above-mentioned striking surface height and above-mentioned static high strike bevel angle, and then provide among in the accompanying drawings Figure 20 A to 20E-3 by above-mentioned best bending radius that it drew.

21. band according to claim 20 improves the putter of vertical curved striking face, wherein, is used for determining that required X and the Y displacement Figure 20 A to 20E-3 in the accompanying drawings of above-mentioned best bending radius place center of curve that is drawn provides.

22. band according to claim 20 improves the putter of vertical curved striking face, wherein, above-mentioned putter has two different bending radius, first bending radius is basic batting bending radius, be used at pure rolling impingement region inner impact golf, above-mentioned first bending radius vertically is stretched in about 45% to 85% the height in above-mentioned curved striking face bottom; Second bending radius is used to produce the visual appearance of a curved striking face, and above-mentioned second bending radius vertically is stretched in about 15% to 40% the height in above-mentioned curved striking face top; And the radius value of above-mentioned second bending radius is less than the radius value of above-mentioned first bending radius.

23. band according to claim 22 improves the putter of vertical curved striking face, and one the 3rd bending radius be used to the to be shaped lower edge part of above-mentioned curved striking face is arranged on the above-mentioned curved striking face.

24. band according to claim 22 improves the putter of vertical curved striking face, wherein, the value of above-mentioned first bending radius is selected among Figure 20 A to 20E-3 in the accompanying drawing.

Images