CN1142864A - Flexible meshing type gear having a negative deflection over-running tooth profile - Google Patents
Flexible meshing type gear having a negative deflection over-running tooth profile Download PDFInfo
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- CN1142864A CN1142864A CN 94195014 CN94195014A CN1142864A CN 1142864 A CN1142864 A CN 1142864A CN 94195014 CN94195014 CN 94195014 CN 94195014 A CN94195014 A CN 94195014A CN 1142864 A CN1142864 A CN 1142864A
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Abstract
This flexible meshing type gear has improved retaining force for lubricating oil film between gear surfaces. A flexture amount (w) in a radial direction of a cross section normal to a tooth trace of a flexible external gear thereof is made a negative deflection flexture amount which is smaller than a normal flexture amount (wo), and a rigid internal gear and the flexible external gear are each constituted by a spur gear. The rigid internal gear and flexible external gear are formed into a convex curve. The external gear is smaller by Zn (n is a positive integer) than that of the internal gear. The meshing between the two gears is made an over-running type meshing in which continuous contact is possible.
Description
The present invention is relevant with a kind of flexible engagement type gearing, and more particularly, the present invention is relevant with the profile of tooth of a rigid internal gear that is used for a kind of flexible engagement type gearing and a flexible external gear.
A kind of flexible engagement type gearing places in the above-mentioned internal gear by a rigid circular internal gear, one and its gear ratio internal gear for example 2n (n is a positive integer) and can be deflected into an ellipse so that the flexible external gear that is meshed with internal gear at two positions and are contained in and are used in the external gear that external gear is deflected into an oval-shaped wave-generator and form less.
Though, the basic profile of tooth of the gear in the flexible engagement type gearing is linearly (to ask for an interview U.S. Pat .Patent No.2,906,143) but adopt the flexible engagement type gearing of involute gear also to succeed in developing (see Japan Patent put down into 45-411171).In addition, the inventor once proposed the system (see Japan Patent JP-A63-115943) of the curve of an employing by the similarity gained of conversion motion track as the flank of tooth profile of two gears, and above-mentioned similarity transformation is seen from being 1/2 to carry out by reduction speed ratio according to the tooth of external gear in respect to the scope of the engagement point of accumulation defined on the approximate track of the tooth bar of internal gear.This system is the system of Continuous Contact between a kind of flank of tooth profile that is used to reach two gears.
A kind of flexible engagement type gearing in the prior art is equipped with an annular flexible external gear, the another kind of said gear device of prior art is equipped with a cup-shaped flexible external gear, in a kind of gearing in back, a kind of three-dimensional bending phenomenon that is referred to as to form " conical surface " appears, assign within it elliptical wave generator to make this deflection (transverse and minor axis poor) open part, roughly increase gradually pro rata with distance to baffle plate from baffle plate one side direction of flexible external gear.But the profile of tooth described in the above-mentioned branch open file is not considered the problem of " the formation conical surface ", therefore, when for example to specific cross section, when one tooth trace that is equivalent to the specified non-deflection cross section of deflection realizes that two tooth-formation of gear mesh continuously, will interference of tooth and other problems appear in other cross sections of tooth trace.
The inventor proposed the glitch-free flexible engagement type gearing of a kind of broad engagement range on the whole tooth trace of cup-shaped flexible external gear afterwards, and this device is equalled into 3-357036 peace at for example Japanese patent application and become among the 3-357037 to disclose.
To the desired performance of the flexible engagement type gearing increasingly stringent that just becoming, in order to satisfy this requirement, must be the more further intensity and the wear resistance of modifying device, need improve the abrasion resistance properties of the flank of tooth especially most possibly.
The full content of foregoing invention makes gear be continuous engagement along tooth trace, yet this engagement is so-called " reversing motion " engagement, and therefore, it unavoidably has shortcoming from the viewpoint that keeps lubricant film between the flank of tooth.Make the transmission torque that is allowed be subjected to some restriction owing to rupture of oil film causes tooth surface abrasion, because above reason, strong request makes improvements in this respect.
In order to reach above-mentioned improvement, the profile of tooth that the present invention fundamentally improves rigid internal gear and flexible external gear is replaced the profile of tooth of the reversing motion engagement that comprises Continuous Contact between the convex curve in the prior art, specifically, the profile of tooth that adopts a kind of new crest curve is as the work profile of tooth of rigid internal gear or flexible external gear and adopt the work profile of tooth of a kind of profile of tooth of concave curve as another gear, the result, two gears are carried out the engagement of passing through between convex profile of tooth and the spill profile of tooth, and this is favourable from lubricated angle.
More particularly; The invention is characterized in a kind of flexible engagement type transmission device with following design feature; This device contains a rigid internal gear; One places the flexible external gear in the rigid internal gear; With one be used for the cross section perpendicular to its axis of external gear is deflected into an ellipse; Thereby make flexible external gear partly with rigid internal gear engagement and wave producer that the position of engagement of two gears is rotated in the circumferential direction of the circle; The rotation of this wave producer causes relatively rotating between two gears
A) will be on the regulation point of the tooth trace of a gear, the radially deflection (W) in the fundamental section that limits perpendicular to flexible external gear axis is defined as the negative deviation deflection less than the specified deflection of deflection (Wo);
B) rigid internal gear and flexible external gear both are spur wheels;
C) few 2n (n is a positive integer) of the number of teeth of the gear ratio rigid internal gear of flexible external gear;
D) the work profile of tooth with rigid internal gear or flexible external gear (being appointed as first gear) is defined as a crest curve, the shape of this crest curve is exactly or is approximate is by to being initial point with respect to the tooth top part of the motion track of the approximate tooth bar of the tooth of another gear that is called second gear with the summit of motion track, in perpendicular to the fundamental section of the profile of tooth of axis, carry out the crest curve of similarity conversion gained outlet by magnification ratio λ, above-mentioned part is protruded with respect to another gear
E) the work profile of tooth with another gear or second gear is defined as a concave curve, the shape of this concave curve is or is approximate to be that same section by motion track carries out the concave curve that the similarity conversion is drawn with reduction factor (going into) and with the summit of mobile approach as initial point, thus make the engagement of two profiles of tooth become in the fundamental section of vertical axis Continuous Contact pass through mesh.
The top ratio on demand of the spill profile of tooth of second gear of the concave of the profile of tooth of preferably will working is made a convex curve to avoid the tooth interference or crown is shortened.
Profile of tooth of the present invention also can be used in a kind of flexible engagement type gearing that a cup-shaped flexible external gear is housed, in order to realize Continuous Contact in this case, preferably carry out teeth towards the inner end portion of the open part of the flexible external gear of cup-shaped and gear baffle plate side with respect to fundamental section pro rata perpendicular to the tooth trace of axis according to the needs that avoid interference along tooth trace.
Profile of tooth of the present invention also can be used in a kind of flexible engagement type gearing, wherein flexible external gear is with the trilobal shape deflection, on three points on its periphery, to mesh with rigid internal gear, in the case, it is individual that the number of teeth of flexible external gear is set at the few 3n (n is a positive integer) of the number of teeth of specific rigidity internal gear.
Fig. 1 is a perspective view that the flexible engagement type gearing of a cup-shaped flexible external gear is housed;
Fig. 2 is the front schematic view of Fig. 1 device;
Fig. 3 is the how diagram of deflection " the formation conical surface " of the flexible external gear of a cover explanation cup-shaped, wherein figure (a) is the preceding cross section by axis of distortion, figure (b) is the cross section of the axis of a major axis by comprising wave-generator, and figure (c) is the cross section of an axis by comprising its minor axis;
Fig. 4 is under the situation of tooth with respect to the negative deviation of other gear of flexible external gear or rigid internal gear, by tooth bar simulation determine perpendicular to the motion track in the fundamental section of axis;
Fig. 5 is the diagram of explanation profile of tooth deriving method of the present invention;
Fig. 6 is how the tooth top part of the concave curved surface of a gear of explanation is protruded the diagram that envelope surface is replaced by one;
Fig. 7 is the profile of tooth of the present invention that backlash the drew time dependent mesh schematic representation in the fundamental section perpendicular to tooth with respect to a gear;
Fig. 8 is a schematic representation that profile of tooth of the present invention meshes in the fundamental section perpendicular to tooth; The profile of tooth that this diagram relates to flexible external gear major component be convex and the profile of tooth of the major component of rigid internal gear is a spill, and the space whole teeth of the rigid internal gear that draws;
Fig. 9 is the schematic representation that draws in the space of a profile of tooth engagement of the present invention;
Wherein the concave and convex direction of two gear major components is with shown in Figure 8 just opposite;
Figure 10 is a cover explanation profile of tooth of the present invention in the diagram of the example that disturbs except engagement in perpendicular to each cross section of the fundamental section of tooth, wherein Figure 10 (a) is that Figure 10 (b) is a cross section that is positioned at the baffle plate side for the vertical teeth fundamental section for a cross section that is positioned at opening side perpendicular to the basic truncate of tooth;
Figure 11 is that the tooth of the flexible external gear of an explanation carries out the diagram of teeth;
Figure 12 is that cover explanation profile of tooth of the present invention is in the teeth cross section rather than perpendicular to an example schematic of the engagement situation of the basic plane section of tooth, wherein Figure 12 (a) is for the cross section that is positioned at opening side in the fundamental section perpendicular to tooth, Figure 12 (b) be for perpendicular to fundamental section in be positioned at the cross section of baffle plate side;
Figure 13 is the schematic representation that cover explanation profile of tooth of the present invention is in the engagement situation in different not teeth cross sections, wherein the profile of tooth of the flexible external gear of cup-shaped was corrected, Figure 13 wherein (a) is for the cross section at open part, Figure 13 (b) is at fundamental section, and Figure 13 (c) then is for the cross section in inner end portion;
Figure 14 is the schematic representation that profile of tooth of the present invention meshes in the fundamental section perpendicular to tooth, and the number of teeth difference of external gear was 3 situation in this diagram related to, and the space whole tooth that draws.
Hereinafter with reference to the description of drawings various embodiments of the present invention:
Fig. 1 and Fig. 2 are respectively the perspective view and the front elevation of the flexible engagement type gearing that can use prior art of the present invention.This flexible engagement type gearing 1 has 2, one of cylindricality rigid internal gears to be placed in the flexible external gear 3 of cup-shaped and an elliptical wave generator 4 that is contained in the flexible external gear 3 of cup-shaped in the rigid internal gear 2.The flexible external gear 3 of cup-shaped is in the deflected that is caused by wave-generator 4, and in the drawings, the oval-shaped long axis direction and the short-axis direction of wave-generator 4 are used label 4a respectively, and 4b marks.
Fig. 3 show since so-called " the formation conical surface " just because the deflection of flexible external gear open part, the deflected in passing through the cross section of the flexible external gear axis of cup-shaped that is caused, state before Fig. 3 (a) expression distortion, Fig. 3 (b) is the cross section by the axis of the major axis 4a that comprises wave-generator 4, Fig. 3 (c) is the cross section by the axis of the minor axis 4b that comprises wave-generator 4, from these diagrams, find out, the deflection that the flexible external gear 3 of cup-shaped is produced is maximum at 3a place, opening side cross section, and the interior end section 3c towards baffle plate 3b one side reduces gradually.
Fig. 4 is that (one perpendicular to the axis that is used for using when Profile of AT limits at a basic plane section perpendicular to tooth, as take from the cross section at tooth trace center shown in Fig. 3 (a) IV-IV line) in, a tooth of flexible external gear or rigid internal gear (first gear 100 hereinafter referred to as) is with respect to the motion track of another gear (second gear 200 hereinafter referred to as), motion track L shown here
1It is the situation that is in so-called negative deviation, this moment radially deflection (when pitch circle is deformed into ellipse or trilobal, the difference of the pitch circle of flexible external gear and its maximum radius) less than its rating value Wo (when rigid internal gear fixedly the time by the Pitch radius of flexible external gear value divided by the reduction speed ratio gained), be in just radially that deflection is under the KWo value situation, K herein is the bending coefficient (K＞1) of standard.Moreover, at motion track L shown in Figure 4
1Be to be in flexible external gear to deflect under the oval-shaped situation, and the movement direction of arrow 101 expressions first gear 100 is (because flexible engagement type gearing has many teeth, so its tooth engagement can be regarded as and the engagement with tooth bar of unlimited several teeth approx, therefore, in the discussion of deriving for the profile of tooth of Fig. 4 and other accompanying drawing, gear engagement is handled by the approximate engagement of tooth bar hereinafter.)
Fig. 5 is a diagram that is used for illustrating profile of tooth deriving method of the present invention.In the drawings, some O is a tooth motion track L of first gear
1Summit (entering the maximum inlet point of a backlash of second gear), the some V then be moving rail trace L
1Change dished flex point at this from convex with respect to second gear.Point A is limited to motion track L
1The OV section, get an O as initial point (center of similarity), will be at motion track L
1On some O and the curve L of point between the A
1(O A) carries out similarity transformation with reduction factor λ to obtain a simulation curve L
2(O, B), this curve just is used as the work profile of tooth of first gear, though this curve is not shown in the drawings, it also links to each other with a filleted corner curve sleekly, so the work profile of tooth of first gear is a double wedge shape.
Get an O again as initial point (center of similarity), with curve L
1(O A) carries out similarity transformation with magnification ratio (λ+1) once more to obtain a simulation curve L
3(O, C), this curve just is used as the basic profile of tooth of second gear, so this profile of tooth is a recessed profile of tooth.
The selection of λ value will make and become and track L along the distance of tooth top direction (Vertical direction among the figure) from an O to a C
1Spoke value OM along the tooth top direction is identical or approaching.In other words, selected element C can determine that the λ value is with respect to the some A that early selects in this way
λ＝(OC/OA)-1
The following describes the situation of first gear and second form of gear tooth and the determined profile of tooth correct engagement of said method.
In Fig. 5, at the recessed profile of tooth L of second gear
3(O gets an arbitrfary point P on C), the straight line OP that draws, and the regulation straight line OP and the first gear double wedge shape L
2(O, intersection point B) and with motion track L
1(O, intersection point A) is respectively Q and R, according to the deriving method of profile of tooth, can obtain:
OP＝(λ+1)×OR
OQ＝λ×OR
Therefore,
QP＝OP-OQ＝OR
And, consider that from analog feature the tangent line of curve on these P, Q and R is parallel to each other at 3.
From above-mentioned these 2 situations as can be seen, as double wedge shape L
2(when O, some Q B) are positioned at a some P, double wedge shape L
2(O is B) just at a P place and recessed Profile of AT L
3(O C) contacts, and specifically, guarantees exactly at double wedge shape L
2(O is B) with recessed profile of tooth L
3(O, C) between continuous engagement.In addition, owing to engagement starts from a B and some C contacting point (the interior point of first tooth-formation of gear this moment O
0Be positioned at an A) and engagement end at an O place, so that Here it is is so-called " by meshing ".
Yet, actual conditions are, before the some A on the engagement arrival motion track, the hobbing effect of first tooth-formation of gear has just replaced the crown part of second gear with a convex envelope surface, Fig. 6 just illustrates this situation, this envelope surface is the DE part in Fig. 6, and the engagement in this cross section belongs to by type meshes.And, in a flexible engagement type gearing that a flexible external gear of cup-shaped is housed as shown in Figure 3, the shape of envelope surface changes according to the sectional position perpendicular to first Gear axis, and the degree that its crown penetrates second gear in inner end portion (in Fig. 3 (a), being label 3C part) for maximum.
Fig. 7 illustrates profile of tooth of the present invention time dependent engagement situation of a backlash with respect to second gear on perpendicular to the fundamental section of tooth.
Fig. 8 is the space diagram of whole teeth of internal gear and external gear, wherein first gear 100 is flexible external gear 3, and second gear 200 is a rigid internal gear 2, Fig. 9 also is the space diagram of whole teeth of an interior external gear, different is that its first gear 100 is that rigid internal gear 2, the second gears 200 are flexible external gears 3.
As mentioned above, in a device that a cup-shaped flexible external gear is housed, the curve form of second gear 200 of the crown envelope of first gear 100 depends on the position (see figure 6) perpendicular to the section of first Gear axis.In the case, just can increase mesh stiffness by the envelope surface that the double wedge shape of the tooth top of second gear 200 part is defined as internal tooth end portion 3C.In order to increase wear resistance or also can to give envelope surface to a certain degree relief to reach completely by engagement in order to shorten crown simply, this is favourable from lubricated angle.
Just the conical surface problem of the flexible external gear of flexible engagement type gearing that the flexible external gear of cup-shaped as shown in Figure 3 is housed is considered the characteristic of profile of tooth below.Profile of tooth of the present invention is the motion track in the fundamental section must add of drawing to be used for other cross section with revising.Figure 10 illustrates as an example, and the situation of getting, wherein first gear 100 is that flexible external gear 3, the second gears 200 are rigid internal gears 2, and this figure (Figure 10) is applicable to that fundamental section takes from the situation of the mid point of tooth trace (position of the line IV-IV in Fig. 3 (a)).Figure 10 (a) is the cross section for the opening side of fundamental section, and Figure 10 (b) is the cross section for baffle plate side the inner of fundamental section.
As what can see from these figure, these teeth disturb towards the cross section of the both sides of fundamental section, and one of the method that avoid this tooth interference is that the teeth amount that is complementary from fundamental section handle and interference volume is added to the relative bi-side of tooth as shown in figure 11.
Figure 12 (a), Figure 12 (b) is illustrated respectively in when carrying out teeth, meshes situation in the cross section of opening side and the profile of tooth in the cross section of the inner.It is not carry out teeth and the profile of tooth of suitably proofreading and correct flexible external gear that another kind reaches along the method for tooth trace Continuous Contact.
Figure 13 just be illustrated in this case the engagement situation wherein Figure 13 (a) be cross section for open part, Figure 13 (b) is for fundamental section, Figure 13 (c) then is the cross section for the inner.
Though explanation above is primarily aimed at ellipticity deflection situation, method of the present invention can similarly be used in the tri-lobed deflection situation that number of teeth difference is 3n that has.Figure 14 is illustrated in the example of an engagement in fundamental section in the case, and the space all teeth of gear are shown.
As mentioned above, of the present invention by introducing by engagement, the ability of lubricating oil oil film between keeping between the flank of tooth can be strengthened greatly, and flexible engagement type gearing can be improved significantly based on transmission torque that tooth surface abrasion allowed.
Moreover, adopt negative deviation can reduce near the long and short axle of flexible external gear because the flexural stress that deflection produces, improve the wheel rim intensity of flexible external gear, and, owing to continuous toe joint touches, mesh stiffness is improved.
In addition, because the present invention can implement under any cone angle of cup-shaped flexible external gear,, and can also use on the flexible external gear of the cup-shaped that does not form the conical surface so the present invention also can be applied on a kind of flexible external gear of lacking body.
Claims (14)
1。A kind of flexible engagement type gearing that has negative deviation calibration profile of tooth, contain: a rigid internal gear, flexible gear that is positioned at internal gear and one are used for making a cross section perpendicular to its axis of external gear to deflect into ellipse, thereby the wave-generator that makes flexible external gear be meshed with rigid internal gear and two gear meshing positions are along the circumferential direction rotated partly, the rotation of this wave-generator produces relatively rotating between two gears, it is characterized in that having following structural feature:
A) the radially deflection in the fundamental section that will be limited perpendicular to flexible property external gear axis on the regulation point on the tooth trace of gear is defined as the negative deviation deflection less than specified deflection (Wo);
B) rigid internal gear and flexible external gear are spur wheel;
C) few 2n (n is a positive integer) of the number of teeth of the gear ratio rigid internal gear of flexible external gear;
D) the work profile of tooth in rigid internal gear or the flexible external gear (being called first gear) is defined as a crest curve, the shape of this crest curve is exactly or is approximate is by in the fundamental section perpendicular to the tooth trace of Gear axis, summit with motion track is an initial point, tooth to this gear carries out similarity transformation with respect to the apex portion of the approximate tooth bar motion track of another gear (second gear) with magnification ratio (λ), the crest curve that is drawn, described apex portion is protruding with respect to second gear;
E) the work profile of tooth with another gear or second gear is defined as a concave curve, the shape of this concave curve is exactly or is similar to the concave curve that the similarity transformation carried out with magnification ratio (λ+1) as initial point with its summit by the same part of motion track draws, thus make first gear and the engagement of second tooth-formation of gear become in the fundamental section of vertical axis Continuous Contact pass through mesh.
2。The flexible engagement type gearing that has negative deviation calibration profile of tooth according to claim 1, it is characterized in that: the work profile of tooth is that the top of the recessed profile of tooth of second gear of sag vertical curve is limited by a crest curve, and convex first tooth-formation of gear that is limited with top and the convex curve of avoiding recessed profile of tooth disturbs mutually.
3。The flexible engagement type gearing that has negative deviation calibration profile of tooth according to claim 1 is characterized in that: the profile of tooth of will working is that the crown shortening of second gear of sag vertical curve is disturbed with convex first tooth-formation of gear that a convex curve is limited mutually with the crown of avoiding recessed profile of tooth.
4。A kind of flexible engagement type device that has negative deviation calibration profile of tooth contains a rigid internal gear, a flexible external gear that is positioned at internal gear, with one be used for thereby a cross section perpendicular to its axis of external gear is deflected into the wave-generator that a trilobal makes flexible external gear be meshed with rigid internal gear and two gear meshing positions are along the circumferential direction rotated partly, the rotation of this wave-generator produces relatively rotating between two gears, it is characterized in that having following structural feature:
A) the radially deflection in the fundamental section that will be limited perpendicular to flexible external gear axis on the regulation point on the tooth trace of gear is defined as the negative deviation deflection less than specified deflection (Wo);
B) rigid internal gear and flexible external gear are spur wheel;
C) few 3n (n is a positive integer) of the gear ratio rigid internal gear number of teeth of flexible external gear;
D) the work profile of tooth with rigid internal gear or flexible external gear (being called first gear) is defined as a crest curve, the shape of this crest curve is exactly or is approximate is by by in the fundamental section perpendicular to the tooth mark of axis, with the summit of motion track as initial point to this gear relatively the motion track top part of a suitable tooth bar of another gear (claiming second gear) carry out the crest curve that drawn with magnification ratio λ similarity transformation, described top part is spill with respect to second gear;
E) the work profile of tooth with another gear or second gear is defined as a concave curve, the shape of this concave curve is or is approximate to be the concave curve that draws by in the same top of above-mentioned motion track and the similarity transformation carried out with magnification ratio (λ+1) as initial point with its summit, thus make first gear and the engagement of second tooth-formation of gear become in perpendicular to the fundamental section of axis Continuous Contact pass through mesh.
5。The flexible engagement type gearing that has the calibration profile of tooth of negative deviation according to claim 4 is characterized in that: this work profile of tooth is that the recessed profile of tooth top of second gear of a sag vertical curve is limited with the top of avoiding recessed profile of tooth by a convex curve and disturbs mutually with convex first form of gear tooth that a convex curve is limited.
6。The flexible engagement type gearing that has the calibration profile of tooth of negative deviation according to claim 4 is characterized in that: this work profile of tooth is that the crown shortening of second gear of a sag vertical curve is disturbed with convex first tooth-formation of gear that a convex curve is limited mutually with the crown of avoiding recessed profile of tooth.
7。A kind of flexible engagement type gearing that has negative deviation calibration profile of tooth contains a rigid internal gear, the flexible external gear of cup-shaped that is positioned at internal gear, with one be used for a cross section perpendicular to its axis of external gear is deflected into an oval-shaped wave-generator, the deflection that the result is produced from a baffle plate end to an opening end is approximate to be directly proportional with the distance of baffle plate, thereby the wave-generator that makes flexible external gear be meshed with rigid internal gear and the soft engaging position of two teeth is along the circumferential direction rotated partly, relatively rotating between two gears that the rotation of this wave-generator produces is characterized in that having following structural feature:
A) the radially deflection in the fundamental section that will be limited perpendicular to flexible external gear axis on the regulation point on the between cog inlet wire of gear is defined as the negative deviation deflection less than specified deflection (Wo);
B) rigid internal gear and flexible external gear are spur wheel;
C) few 2n (n is a positive integer) of the gear ratio rigid internal gear number of teeth of flexible external gear;
D) the work profile of tooth with rigid internal gear or flexible external gear (being called first gear) is defined as a crest curve, the shape of this crest curve is exactly or is approximate is by by in the fundamental section perpendicular to the tooth mark of axis, with the summit of motion track as initial point to this gear relatively the motion track of a suitable tooth bar of another gear (claiming second gear) partly carry out the crest curve that similarity transformation was drawn with magnification ratio λ, described top part is spill with respect to second gear;
E) the work profile of tooth with another gear or second gear is defined as a concave curve, the shape of this concave curve is or is approximate to be the concave curve that draws by in the same top of above-mentioned motion track and the similarity transformation carried out with magnification ratio (λ+1) as initial point with its summit, thus make first gear and the engagement of second tooth-formation of gear become in perpendicular to the fundamental section of axis Continuous Contact pass through mesh.
8。The flexible engagement type gearing that has the calibration profile of tooth of negative deviation according to claim 7, the recessed profile of tooth top that it is characterized in that the gear that this work profile of tooth is a sag vertical curve is limited by a convex curve, and the double wedge shape that is limited with top and the convex curve of avoiding recessed profile of tooth is disturbed mutually.
9。The flexible engagement type gearing that has the calibration profile of tooth of negative deviation according to claim 7 is characterized in that this work profile of tooth is that the crown of second gear of a sag vertical curve shortens and to disturb mutually with convex first tooth-formation of gear that a convex curve is limited with the crown of avoiding recessed profile of tooth.
10。According to Claim 8 or the 9 described flexible engagement type gearings that have the calibration profile of tooth of negative deviation, it is characterized in that open part that at least the first gear and the teeth directional of one of second gear the flexible external gear of cup-shaped is with in the fundamental section of relative tooth mark perpendicular to axis, teeth is carried out in the inner of its baffle plate side, to avoid making interference mutually between two profiles of tooth owing to the flexible external gear of cup-shaped forms the conical surface.
11。A kind of flexible engagement type gearing that has negative deviation calibration profile of tooth contains a rigid internal gear, the flexible external gear of cup-shaped that is positioned at internal gear, with a wave-generator that is used for a cross section perpendicular to its axis of external gear is deflected into a trilobal, the deflection that the result is produced from a baffle plate end to an opening end is approximate to be directly proportional with the distance of baffle plate, thereby the wave-generator that makes flexible external gear be meshed with rigid internal gear and two gear meshing positions are along the circumferential direction rotated partly, the rotation of this wave-generator produces relatively rotating between two gears, it is characterized in that having following structural feature:
A) will be on the regulation point on the between cog inlet wire of gear, the radially deflection in the fundamental section that is limited perpendicular to flexible external gear axis is defined as the negative deviation deflection less than specified deflection (Wo);
B) rigid internal gear and flexible external gear are spur wheel;
C) few 3n (n is a positive integer) of the gear ratio rigid internal gear number of teeth of flexible external gear;
D) the work profile of tooth with rigid internal gear or flexible external gear (being called first gear) is defined as a crest curve, the shape of this crest curve is exactly or is approximate is by by in the fundamental section perpendicular to the tooth mark of axis, with the summit of motion track as initial point to this gear relatively the motion track top part of a suitable tooth bar of another gear (claiming second gear) carry out the crest curve that similarity transformation was drawn with magnification ratio λ, described top part is spill with respect to second gear;
E) the work profile of tooth with another gear or second gear is defined as a concave curve, the shape of this concave curve is or is approximate to be the concave curve that draws by in the same top of above-mentioned motion track and the similarity transformation carried out with magnification ratio (λ+1) as initial point with its summit, thus make first gear and the engagement of second tooth-formation of gear become in perpendicular to the fundamental section of axis Continuous Contact pass through mesh.
12。The flexible engagement type gearing that has the calibration profile of tooth of negative deviation according to claim 11, it is characterized in that the work profile of tooth is that the top of the recessed profile of tooth of second gear of sag vertical curve is limited by a crest curve, convex first tooth-formation of gear that is limited with top and the convex curve of avoiding recessed profile of tooth disturbs mutually.
13。The flexible engagement type gearing that has the calibration profile of tooth of negative deviation according to claim 11 is characterized in that with the work profile of tooth being that the crown of first gear of sag vertical curve shortens and to disturb mutually with convex first tooth-formation of gear that a convex curve is limited with the crown of avoiding recessed profile of tooth.
14。According to claim 12 or the 13 described flexible engagement type gearings that have the calibration profile of tooth of negative deviation, the profile of tooth that it is characterized in that at least the first gear and one of second gear towards the open part of the flexible external gear of cup-shaped with in the fundamental section of relative tooth mark perpendicular to axis, teeth is carried out in the inner of its baffle plate side, to avoid making interference mutually between two profiles of tooth owing to the flexible external gear of cup-shaped forms the conical surface.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN94195014A CN1068105C (en) | 1994-12-19 | 1994-12-19 | Flexible meshing type gear having a negative deflection over-running tooth profile |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN94195014A CN1068105C (en) | 1994-12-19 | 1994-12-19 | Flexible meshing type gear having a negative deflection over-running tooth profile |
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| CN1142864A true CN1142864A (en) | 1997-02-12 |
| CN1068105C CN1068105C (en) | 2001-07-04 |
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| CN94195014A Expired - Lifetime CN1068105C (en) | 1994-12-19 | 1994-12-19 | Flexible meshing type gear having a negative deflection over-running tooth profile |
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN100346091C (en) * | 2006-04-12 | 2007-10-31 | 北京市克美谐波传动精密机械公司 | Three-dimensional harmonic wave gear with involute tooth outline |
| CN100453846C (en) * | 2003-10-30 | 2009-01-21 | 谐波传动***有限公司 | Wave gear device having widely engaging tooth profile |
| CN101929527A (en) * | 2009-06-23 | 2010-12-29 | 谐波传动***有限公司 | Wave gear device |
| TWI460365B (en) * | 2012-06-08 | 2014-11-11 | Univ Nat Formosa | Rigid Ring Gear and Flexible Planetary Wheel of Harmonic Reducer and Its Method |
| CN105102857A (en) * | 2013-11-29 | 2015-11-25 | 谐波传动***有限公司 | Harmonic gear device having double-contact negative displacement tooth profile |
| CN105899847A (en) * | 2014-12-09 | 2016-08-24 | 谐波传动***有限公司 | Pass-type meshing negative-deflection harmonic drive gearing |
| CN108474453A (en) * | 2016-01-15 | 2018-08-31 | 谐波传动***有限公司 | The Wave gear device of 2 pure separation of stress |
| CN109555831A (en) * | 2017-09-27 | 2019-04-02 | 住友重机械工业株式会社 | Flexible engagement gear device |
Family Cites Families (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5516013B2 (en) * | 1974-11-15 | 1980-04-28 | ||
| DE2454216B2 (en) * | 1974-11-15 | 1977-02-24 | Bayer Ag, 5090 Leverkusen | IMPRESSION SPOON FOR DENTAL PURPOSES |
| JPH0784896B2 (en) * | 1986-11-05 | 1995-09-13 | 株式会社ハーモニック・ドライブ・システムズ | Flexible mesh type gear device |
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1994
- 1994-12-19 CN CN94195014A patent/CN1068105C/en not_active Expired - Lifetime
Cited By (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN100453846C (en) * | 2003-10-30 | 2009-01-21 | 谐波传动***有限公司 | Wave gear device having widely engaging tooth profile |
| CN100346091C (en) * | 2006-04-12 | 2007-10-31 | 北京市克美谐波传动精密机械公司 | Three-dimensional harmonic wave gear with involute tooth outline |
| CN101929527A (en) * | 2009-06-23 | 2010-12-29 | 谐波传动***有限公司 | Wave gear device |
| CN101929527B (en) * | 2009-06-23 | 2014-07-16 | 谐波传动***有限公司 | Wave gear device |
| TWI460365B (en) * | 2012-06-08 | 2014-11-11 | Univ Nat Formosa | Rigid Ring Gear and Flexible Planetary Wheel of Harmonic Reducer and Its Method |
| CN105102857A (en) * | 2013-11-29 | 2015-11-25 | 谐波传动***有限公司 | Harmonic gear device having double-contact negative displacement tooth profile |
| CN105899847A (en) * | 2014-12-09 | 2016-08-24 | 谐波传动***有限公司 | Pass-type meshing negative-deflection harmonic drive gearing |
| CN105899847B (en) * | 2014-12-09 | 2018-02-06 | 谐波传动***有限公司 | Surmount the negative bias position Wave gear device of type engagement |
| CN108474453A (en) * | 2016-01-15 | 2018-08-31 | 谐波传动***有限公司 | The Wave gear device of 2 pure separation of stress |
| CN108474453B (en) * | 2016-01-15 | 2021-01-19 | 谐波传动***有限公司 | 2-stress pure-separation wave gear device |
| CN109555831A (en) * | 2017-09-27 | 2019-04-02 | 住友重机械工业株式会社 | Flexible engagement gear device |
| CN109555831B (en) * | 2017-09-27 | 2022-04-29 | 住友重机械工业株式会社 | Flexible engagement type gear device |
Also Published As
| Publication number | Publication date |
|---|---|
| CN1068105C (en) | 2001-07-04 |
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