CN109186413B - Sphere diameter instrument with adjustable measuring diameter and method for measuring curvature radius and deflection - Google Patents

Sphere diameter instrument with adjustable measuring diameter and method for measuring curvature radius and deflection Download PDF

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Publication number
CN109186413B
CN109186413B CN201810777215.2A CN201810777215A CN109186413B CN 109186413 B CN109186413 B CN 109186413B CN 201810777215 A CN201810777215 A CN 201810777215A CN 109186413 B CN109186413 B CN 109186413B
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base
hole
indicator
diameter
measured
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CN109186413A (en
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孙林
刘剑锋
方续东
陈兆翔
李常胜
王鑫垚
蒋庄德
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Xian Jiaotong University
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Xian Jiaotong University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B5/00Measuring arrangements characterised by the use of mechanical techniques
    • G01B5/08Measuring arrangements characterised by the use of mechanical techniques for measuring diameters
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B5/00Measuring arrangements characterised by the use of mechanical techniques
    • G01B5/02Measuring arrangements characterised by the use of mechanical techniques for measuring length, width or thickness
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B5/00Measuring arrangements characterised by the use of mechanical techniques
    • G01B5/20Measuring arrangements characterised by the use of mechanical techniques for measuring contours or curvatures
    • G01B5/213Measuring arrangements characterised by the use of mechanical techniques for measuring contours or curvatures for measuring radius of curvature

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • A Measuring Device Byusing Mechanical Method (AREA)

Abstract

The invention discloses a diameter-adjustable ball diameter instrument, a curvature radius and an offset measuring method, which comprises an indicator, a fixed base for installing the indicator, a lifting table capable of sliding up and down relative to a vertical rail, and a plurality of base sliding grooves which are arranged at intervals with the vertical rail and are arranged around the fixed base by taking the center of a through hole as the center, wherein sliding blocks capable of sliding on the base sliding grooves are arranged on the base sliding grooves, and the lifting table drives the three sliding blocks to move close to or away from the center of the circle so as to realize the measurement of workpieces with different diameters. The three supporting legs simultaneously move along the diameter direction and can perform a centering function, so that the measuring head of the indicator is aligned with the spherical center position of the workpiece, and the measurement is more accurate. The locking mechanism is adopted, so that the locking can be performed at the designated position at any time, and the operation is simple and convenient.

Description

Sphere diameter instrument with adjustable measuring diameter and method for measuring curvature radius and deflection
Technical Field
The invention relates to the technical field of measurement of spherical and aspherical optical elements, in particular to a sphere diameter meter with an adjustable measurement diameter and a curvature radius and offset measurement method.
Background
Spherical and aspherical mirrors are used in modern national defense and commercial fields, the size of the spherical and aspherical mirrors is also different from tens of millimeters to thousands of millimeters, and the size of large spherical mirrors is more than 500mm, for example, because the size of the large spherical mirrors is too large, other measuring methods are available. For the measurement of the middle-size and small-size spherical mirror and the aspherical mirror, the sphere diameter meter can be used for directly carrying out in-situ measurement, so that the defect of time waste caused by clamping of workpieces is avoided. The sphere diameter meter is used for measuring the curvature radius of a spherical or aspheric optical element, and as a precise element, if the measurement is inaccurate, a great error is caused to a focus and subsequent processing.
The existing sphere diameter instrument mainly comprises three types: the first is for rough measurements in the field, measured by turning the chuck to change the radius, using a screw mechanism, but it has 3 disadvantages:
1. the chuck rotates with poor synchronization performance, which results in inaccurate determination of the center of the circle.
2. The sphere diameter meter is hand-held, and can only measure for small workpieces due to the weight of the workpieces.
3. The use of spiral micrometer measurements has an impact on the accuracy of the measurement.
The second is the sphere diameter gauge using measuring ring, which can reach very high precision, but one measuring ring can not measure the work pieces with different diameters, the application scope is bad, a plurality of measuring rings with different measuring scope need to be prepared, and the replacement of the measuring ring is more troublesome.
The third is a computer-controlled sphere diameter meter which can change the diameter for measurement, but is controlled by a motor, and the vector height is measured by a grating ruler and calculated by a computer, but has several disadvantages:
1. and the grating ruler is adopted for measurement and calculation, theoretical errors are accumulated, and the installation is complicated.
2. The sphere diameter instrument is controlled by a computer and a stepping motor, so that the sphere diameter instrument has the advantages of high manufacturing cost, large occupied space and inconvenience and easiness in use.
Disclosure of Invention
The invention aims to provide a sphere diameter meter with adjustable measuring diameter, a curvature radius and an offset measuring method, so as to overcome the defects of the prior art.
In order to achieve the above purpose, the invention adopts the following technical scheme:
The utility model provides a measure diameter adjustable sphere diameter appearance, including the instruction table and be used for installing the unable adjustment base of instruction table, be equipped with the through-hole on the unable adjustment base, instruction table fixed mounting is in unable adjustment base's through-hole, unable adjustment base all uses the through-hole centre of a circle as the center all to be equipped with at least three vertical guide rail all around, still including can relative vertical track gliding elevating platform from top to bottom, be equipped with on the elevating platform can simultaneously with a plurality of vertical guide rail simultaneous engagement gliding sliding ear respectively, unable adjustment base all is equipped with a plurality of base spouts that set up with vertical guide rail interval around using the through-hole centre of a circle as the center, be equipped with on the base spout and can be on the base spout gliding slider, the slider passes through the connecting rod with the elevating platform and is connected, be equipped with the spout through-hole in the middle of the base spout, the slider lower extreme is fixed with the stabilizer blade, be equipped with the scale that is used for annotating slider and unable adjustment base through-hole central distance on the base spout.
Regarding the vertical guide rails, three vertical guide rails are arranged around the fixed base by taking the center of the circle of the through hole as the center.
Further, the sliding lugs are provided with locking devices for locking and fixing the lifting platform and the vertical rail.
To locking device, including setting up the through-hole that is used for the cover to locate vertical track on sliding ear, sliding ear lateral wall is equipped with the locking screw hole of intercommunication through-hole, locking screw hole internal is equipped with lock nut.
With respect to connection of the connecting rod, two ends are respectively hinged on the sliding block and the lifting platform, and the side wall of the lifting platform is provided with a hinge lug for connecting the connecting rod.
On the base, a stop block for preventing the sliding block from sliding off is arranged at the outer end of the base sliding groove.
Regarding the lifting platform, a level gauge for adjusting the levelness of the lifting platform is arranged on the lifting platform, and a taking and placing hole is arranged in the middle of the lifting platform.
In connection with the legs, the legs are connected with the slider by threads.
A spherical curvature radius offset measuring method comprises the following steps:
Step 1), adjusting a sliding block to the radial dimension scale position of a workpiece to be measured, and then carrying out zero setting calibration on an indicator through a standard component;
Step 2), horizontally placing the calibrated device into the sphere to be measured, enabling the supporting legs of the device to be in contact with the sphere to be measured, adjusting the measuring head of the indicator to be in contact with the sphere to be measured, and directly reading the reading of the indicator to obtain the offset.
A spherical radius of curvature measurement method, comprising the steps of:
Step 1), adjusting a sliding block to the radial dimension scale position of a workpiece to be measured, and fixing the height of a supporting leg;
Step 2), enabling the bottom surface of the support leg to be in contact with the surface of the standard component, and calibrating the indicator;
Step 3), horizontally placing the calibrated device on the surface of the workpiece to be measured, enabling the support legs to be in contact with the spherical surface to be measured, adjusting the measuring head of the indicator to be in contact with the surface of the workpiece to be measured, and directly reading the reading of the indicator to obtain the offset;
step 4), according to the formula Calculating the curvature radius of the ring to be measured under the radius, wherein r is the chord radius of a part of spherical surface, and the distance between a central round hole at the bottom of the sliding block and the center of a through hole of the fixed base is set on the spherical diameter meter, namely the scale reading of the sliding block on the corresponding base; x R is the sagittal height of the corresponding part, for the workpiece to be measured, x R is determined from the sagittal height of the corresponding part of the reference workpiece and the reading of the indicator, and the sagittal height of the standard workpiece, x R, is determined from the known R and R and the formula/>And (3) reversely obtaining, wherein R is the radius of curvature to be obtained at the radius R of the caliber chord where the measuring ring is positioned.
Compared with the prior art, the invention has the following beneficial technical effects:
the invention discloses a ball diameter meter with adjustable measuring diameter, which comprises an indicator and a fixed base for installing the indicator, wherein the fixed base is provided with a through hole, the indicator is fixedly arranged in the through hole of the fixed base, at least three vertical guide rails are arranged around the fixed base by taking the center of the through hole as the center, the ball diameter meter also comprises a lifting table which can slide up and down relative to a vertical rail, the lifting table is provided with a sliding lug which can simultaneously and respectively mesh with a plurality of vertical guide rails to slide, the periphery of the fixed base is provided with a plurality of base sliding grooves which are arranged at intervals with the vertical guide rails by taking the center of the through hole as the center, the base sliding grooves are provided with sliding blocks which can slide on the base sliding grooves, the sliding blocks are connected with the lifting table through connecting rods, the middle of the base sliding grooves is provided with sliding groove through holes, the lower ends of the sliding blocks are fixedly provided with supporting legs, and the lifting table drives the three sliding blocks to move close to or far away from the center of the circle, so that the distance between the three supporting legs and the center of the fixed base is the same as the radius of a workpiece to be measured, the measurement of workpieces with different diameters can be realized, the measuring of the workpieces does not need to change the measuring ring, the whole device occupies small space, and is simple and convenient. The three supporting legs simultaneously move along the diameter direction and can perform a centering function, so that the measuring head of the indicator is aligned with the spherical center position of the workpiece, and the measurement is more accurate. The adjustment of the measurement diameter adopts a mode that the sliding block moves up and down, so that the cost is reduced, and the locking mechanism is adopted, so that the locking can be performed at any time at a designated position, and the operation is simple and convenient.
Meanwhile, the supporting legs can stretch and retract, so that the heights of the spherical diameter meters can be adjusted for workpieces with different thicknesses, and the aspheric surfaces of the aspheric mirrors can be measured by adjusting the heights due to different curvature radiuses.
According to the spherical curvature radius offset measuring method, the sliding block is adjusted to the radius size scale position of the workpiece to be measured, and then the standard component is used for zeroing and calibrating the indicator; then put into the sphere that awaits measuring with this device level after the calibration, make the stabilizer blade and the sphere that awaits measuring contact of this device, then adjust the gauge head contact sphere that awaits measuring of pilot gauge, direct reading pilot gauge reading obtains the offset, through adjusting the radial dimension scale position of adjustment slider to the work piece that awaits measuring, can realize the measurement of different measurement diameter work piece sizes, simple and convenient, measuring speed is fast.
The spherical curvature radius measuring method can meet the diameters of different workpieces to be measured by adjusting the sliding block to the radial dimension scale position of the workpieces to be measured, and then fixing the heights of the supporting legs; the bottom surface of the supporting leg is contacted with a standard horizontal plane, and the indicator is calibrated; the on-site measurement can be realized, the calibrated device is horizontally placed on the surface of the workpiece to be measured, the supporting legs are in contact with the spherical surface to be measured, then the measuring head of the indicator is adjusted to be in contact with the surface of the workpiece to be measured, and the reading of the indicator is directly read to obtain the offset; using the formulaAnd the directly measured offset can rapidly calculate the curvature radius under the radius of the ring to be measured, and each parameter in the formula can be directly obtained, and because the in-situ measurement can be realized, whether the current processing is accurate or not is judged according to the reading of the indicator, so that the next processing parameter is regulated, the method is rapid and convenient, the method is simple, and the processing efficiency of the workpiece is improved.
Drawings
FIG. 1 is a schematic diagram of the axial structure of the present invention.
Fig. 2 is a top view of the present invention.
Fig. 3 is a front view of the present invention.
Fig. 4 is a top view of the present invention.
Fig. 5 is a schematic view of the structure of the lifting platform of the present invention.
Fig. 6 is a schematic axial side view of the fixing base of the present invention.
Fig. 7 is a schematic diagram of the measurement principle.
Wherein, 1, an indicator; 2. a lock nut; 3. a sliding ear; 4. a vertical guide rail; 5. a lifting table; 6. a connecting rod; 7. a level gauge; 8. a slide block; 9. a base chute; 10. a support leg; 11. a fixed base; 12. a stop block; 13. measuring head; 14. a through hole; 15. locking the threaded hole; 16. a hinge ear; 17. and taking and placing holes.
Detailed Description
The invention is described in further detail below with reference to the attached drawing figures:
As shown in fig. 1 to 7, a diameter-adjustable ball diameter gauge comprises an indicator 1 and a fixing base 11 for installing the indicator 1, wherein a through hole is formed in the fixing base 11, the indicator 1 is fixedly installed in the through hole of the fixing base 11, at least three vertical guide rails 4 are arranged around the fixing base 11 by taking the center of the circle of the through hole as the center, a lifting table 5 capable of sliding up and down relative to the vertical guide rails 4 is further included, sliding lugs 3 capable of simultaneously and respectively meshing with the vertical guide rails 4 simultaneously are arranged on the lifting table 5, locking nuts 2 are arranged on the sliding lugs 3 and used for locking and fixing the lifting table 5 and the vertical guide rails 4, and the ball diameter gauge is characterized in that: the sliding lug 3 is provided with a through hole 14 which is sleeved on the vertical rail 4, the side wall of the sliding lug 3 is provided with a locking threaded hole 15 which is communicated with the through hole, the locking nut 2 is arranged in the locking threaded hole 15, the periphery of the fixed base 11 is provided with a plurality of base sliding grooves 9 which are arranged at intervals with the vertical rail 4 by taking the center of the through hole as the center, the base sliding grooves 9 are provided with sliding blocks 8 which can slide on the base sliding grooves 9, the base sliding grooves 9 are provided with scales for marking the center distance between the sliding blocks 8 and the through holes of the fixed base 11, the sliding blocks 8 are connected with the lifting table 5 through connecting rods 6, the two ends of the connecting rods 6 are respectively hinged on the sliding blocks 8 and the lifting table 5, the side wall of the lifting table 5 is provided with a hinged lug 16 which is connected with the connecting rods 6, the hinged lug is a C-shaped lug plate, the middle of the base sliding grooves 9 is provided with sliding groove through holes, and the lower ends of the sliding blocks 8 are fixed with supporting legs 10; the support legs 10 are telescopic support legs so as to be suitable for measurement at different heights, the lifting platform 5 moves on the vertical track 4 and drives the sliding block 8 to slide on the base sliding groove 9 through the connecting rod 6, so that the support legs 10 are driven to move, and a stop block 12 for preventing the sliding block 8 from sliding off is arranged at the outer end of the base sliding groove 9;
the lifting platform 5 is provided with a level meter 7 for adjusting the levelness of the lifting platform 5; the lifting platform 5 is provided with a picking and placing hole 17 with the diameter larger than that of the indicating table 1 in the middle, so that the indicating table 1 can be conveniently installed and detached.
The spherical curvature radius offset measuring method based on the measuring device comprises the following steps of:
Step 1), assembling the device, fixing an indicator 1, adjusting a sliding block 8 to the radius size of a spherical surface to be measured, and calibrating the indicator 1 through a standard component;
Step 2), horizontally placing the calibrated device into the sphere to be measured, enabling the support leg 10 of the device to be in contact with the sphere to be measured, adjusting the gauge head 13 of the indicator to be in contact with the sphere to be measured, and directly reading the reading of the indicator to obtain the offset.
A spherical radius of curvature measurement method, comprising the steps of:
step 1), assembling the device, fixing an indicator 1, adjusting a sliding block 7 to the radius size of the spherical surface to be measured, and fixing the height of a supporting leg 10;
Step 2), placing the device on a standard horizontal plane, enabling the support legs 10 to be in contact with the horizontal plane, then adjusting the measuring head of the indicator to be in contact with the horizontal plane, and carrying out zero setting calibration on the indicator 1;
Step 3), horizontally placing the zeroing calibrated device into a sphere to be measured, enabling the supporting legs 10 of the device to be in contact with the sphere to be measured, adjusting the gauge head 13 of the indicator to be in contact with the sphere to be measured, and directly reading the reading of the indicator to obtain the offset;
step 4), according to the formula Calculating the curvature radius of the ring to be measured under the radius, wherein r is the chord radius of a part of spherical surface, as shown in fig. 7, and r is the distance between the sliding block 8 and the center of the through hole of the fixed base 2, namely the scale reading of the sliding block 8; x R is the sagittal height of the corresponding part, i.e. the offset obtained by reading the indicator, and R is the radius of curvature at the radius of the chord where the measuring ring is located.
Firstly, placing a sphere diameter meter on a reference piece, keeping a measuring ring horizontal, zeroing, then placing the sphere diameter meter at the position with the same curvature radius of a workpiece to be measured, wherein the curvature radius is determined by the measuring ring radius, and then, looking at the offset of an indicator pointer relative to the zero point.
(1) If the workpiece to be measured is a spherical surface, the measuring ring of the sphere diameter meter can be kept horizontal, and the indicator is rotated to enable the contact to be contacted with the surface of the workpiece because the curvature radiuses of all points of the spherical surface are the same, so that the indicator is seen;
(2) If the workpiece to be measured is an aspherical surface, since the radii of curvature of the aspherical surfaces on the same height circle are the same, the radii of curvature at different heights are different, and the sphere diameter gauge must be kept horizontal.
The structural principles and steps of the present invention will be further described with reference to the accompanying drawings, in which:
Specifically, as shown in fig. 1 and fig. 2, three vertical guide rails 4 are all arranged around the fixed base 11 by taking the center of the through hole as the center, the three vertical guide rails 4 are equal in height and fixed on the upper surface of the circular fixed base 11 side by side, the three vertical guide rails 4 are arranged in a mode of 120 o, the lifting platform 5 is ensured to be always kept parallel to the fixed base 11 during sliding, then the protruding part sliding lugs 3 of the lifting platform 5 are aligned and vertically placed on the vertical guide rails 4, the lifting platform 5 is aligned with the tops of the vertical guide rails 4, locking nuts 2 are used for locking, and the three vertical guide rails 4 are required to be kept aligned during installation. The lifting platform 5 is always kept in a horizontal state during locking, at the moment, the connecting rod is connected to the sliding lug 3 through the pin, at the moment, the sliding block 8 is placed in the base sliding groove 9, the base sliding groove 9 is collinear with the sliding lug 3, the other end of the connecting rod is connected with the sliding block through the pin after the distance between the other end of the connecting rod 6 is adjusted, the supporting legs 10 are screwed into threaded holes at the bottom of the sliding block 8, the three supporting legs 10 are coplanar, the fixed base 11 can be parallel to the horizontal plane, then the indicating gauge 1 is fixed in a middle through hole of the fixed base 11, and the measuring head 13 of the indicating gauge 1 is exposed out of the fixed base 11.
The using method comprises the following steps: after the device is installed, the lifting table 5 is firstly lifted according to the approximate diameter and thickness, the height of the supporting leg 10 is adjusted, the distance from the sliding block 8 to the center of the through hole of the fixed base 11 is equal to the radius r of the workpiece to be measured, then the standard component is used for carrying out zero setting correction on the indicating table, when the radius of curvature needs to be measured, the standard plane is used for contacting with the bottom surface of the supporting leg, the indicating table is zeroed, when the offset needs to be measured, the device for adjusting the height of the supporting leg 10 and the distance of the sliding block 8 is placed on the standard component which is equal to the radius r of the workpiece to be measured, then the indicating table is zeroed and calibrated, then the calibrated device is placed above the workpiece to be measured, so that whether the contact 13 of the indicating table touches the surface of the workpiece or not, if not, the indicating table is continuously adjusted until the contact touches the surface of the workpiece, and at this time, the reading measurement can be carried out.

Claims (6)

1. The utility model provides a diameter-adjustable ball diameter instrument, a serial communication port, including indicating table (1) and be used for installing unable adjustment base (11) of indicating table (1), be equipped with on unable adjustment base (11) and be used for the through-hole of fixed mounting indicating table (1), unable adjustment base (11) all are equipped with at least three vertical guide rail (4) around taking the through-hole centre of a circle as the center, be equipped with on vertical guide rail (4) can relative vertical guide rail (4) upper and lower gliding elevating platform (5), be equipped with on elevating platform (5) respectively with a plurality of vertical guide rail (4) simultaneous meshing gliding sliding ear (3), unable adjustment base (11) all be equipped with a plurality of base spouts (9) that set up with vertical guide rail (4) interval around taking the through-hole centre of a circle as the center, be equipped with on base spout (9) can be at base spout (8) on base spout (9) on the slider (8) be connected through connecting rod (6), be equipped with the spout through-hole in the middle of base spout (9) slider (8) lower extreme is fixed with stabilizer blade (10), be equipped with on base spout (9) and be used for marking slider (8) and be equipped with on base spout (9) and be equipped with the centre of a plurality of fixed through-hole (11) all around the centre of a fixed distance of a vertical guide rail (4) with the centre of a circle (3) all around the through-hole (3) as the fixed through-hole centre of a distance of a base (4), be equipped with on sliding ear (3) and be used for locking fixed locking device with elevating platform (5) and vertical guide rail (4), locking device is equipped with through-hole (14) that are used for the cover to locate vertical guide rail (4) including setting up on sliding ear (3), sliding ear (3) lateral wall is equipped with locking screw hole (15) of intercommunication through-hole, be equipped with lock nut (2) in locking screw hole (15), be equipped with on elevating platform (5) spirit level (7) of the levelness of adjustment elevating platform (5), be equipped with in the middle of elevating platform (5) and get and put hole (17).
2. The diameter-adjustable ball diameter meter according to claim 1, wherein two ends of the connecting rod (6) are respectively hinged on the sliding block (8) and the lifting table (5), and the side wall of the lifting table (5) is provided with a hinge lug (16) for connecting the connecting rod (6).
3. The diameter-adjustable ball diameter meter according to claim 1, wherein a stop block (12) for preventing the sliding block (8) from sliding down is arranged at the outer end of the base sliding groove (9).
4. A diameter-adjustable ball gauge according to claim 1, characterized in that the foot (10) is screwed with the slide (8).
5. A spherical radius of curvature offset measurement method based on the diameter-adjustable sphere diameter gauge according to claim 1, comprising the steps of:
Step 1), adjusting a sliding block (8) to the radial dimension scale position of a workpiece to be measured, and then carrying out zero setting calibration on an indicator (1) through a standard component;
Step 2), horizontally placing the calibrated device into the sphere to be measured, enabling the supporting legs (10) of the device to be in contact with the sphere to be measured, adjusting the measuring head of the indicator to be in contact with the sphere to be measured, and directly reading the reading of the indicator to obtain the offset.
6. A spherical radius of curvature measuring method based on the diameter-adjustable sphere diameter gauge according to claim 1, characterized by comprising the steps of:
step 1), adjusting a sliding block (8) to the radial dimension scale position of a workpiece to be measured, and fixing the height of a supporting leg (10);
step 2), enabling the bottom surfaces of the supporting legs (10) to be in contact with a standard horizontal plane, and calibrating the indicator (1);
Step 3), horizontally placing the calibrated device on the surface of the workpiece to be measured, enabling the support legs (10) to be in contact with the spherical surface to be measured, adjusting the measuring head of the indicator to be in contact with the surface of the workpiece to be measured, and directly reading the reading of the indicator to obtain the offset;
step 4), according to the formula Calculating the curvature radius of the ring to be measured under the radius, wherein r is the chord radius of a part of spherical surface, and r is the distance between the sliding block (8) and the center of the through hole of the fixed base (11), namely the scale reading of the sliding block (8); x R is the sagittal height of the corresponding part, i.e. the offset obtained by the reading of the indicator, and for the workpiece to be measured, x R is obtained from the sagittal height of the corresponding part of the reference workpiece and the reading of the indicator, and the sagittal height x R of the standard workpiece is obtained from the known R and R and formula/>And (3) reversely obtaining, wherein R is the radius of curvature to be obtained at the radius R of the caliber chord where the measuring ring is positioned.
CN201810777215.2A 2018-07-16 2018-07-16 Sphere diameter instrument with adjustable measuring diameter and method for measuring curvature radius and deflection Active CN109186413B (en)

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