CN106289145B - A kind of cylindricity On-machine Test method - Google Patents
A kind of cylindricity On-machine Test method Download PDFInfo
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- CN106289145B CN106289145B CN201610958507.7A CN201610958507A CN106289145B CN 106289145 B CN106289145 B CN 106289145B CN 201610958507 A CN201610958507 A CN 201610958507A CN 106289145 B CN106289145 B CN 106289145B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/20—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring contours or curvatures, e.g. determining profile
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- Length Measuring Devices With Unspecified Measuring Means (AREA)
- A Measuring Device Byusing Mechanical Method (AREA)
Abstract
The present invention relates to mechanical processing and detection fields, and in particular to a kind of cylindricity On-machine Test method, the present invention include pedestal, first rotating shaft, the second shaft, circular boop, buckle, the first semi-ring and the second semi-ring；First semi-ring is arranged by first rotating shaft on circular boop, second semi-ring is connect by buckling with the first semi-ring, the circular boop is set on the base by the second shaft, the circular boop and the first semi-ring lower face are equipped with stabilizer blade, the present invention is projected by the three-dimensional measuring point for acquiring three coordinate measuring machine on the cylinder to plane, the center of circle that minimum zone circle is searched for by the method for iteration, enormously simplifies the calculation amount of search；Measuring point after present invention projection determines the initial value in the center of circle by least square method, makes to determine that the search process under posture is more quick, moves heart direction by selection and move heart step-length, reduce searching times, improve search precision.
Description
Technical field
The present invention relates to mechanical processing and detection fields, and in particular to a kind of cylindricity On-machine Test method.
Background technology
Cylindrical surface is that Course Exercise in Machinery Elements Design is widely used a kind of general geometric element with processing, and cylindricity tolerance is pair
The required precision that the shape of this geometric element proposes, is the main geometry for needing to be detected and control in Precision Machining
One of error.The cylindricity of workpiece is the minimum range that the cylindrical surface is included in two coaxial cylindrical surfaces.It is general in production
The straightness tolerance of the roundness tolerance and plain line (or axis) of commonly using cylindrical cross-section controls cylindricity error, or uses circular runout
Tolerance controls cylindricity error, both control methods all actually cannot measure and calculate the size of cylindricity error.State
Border standard ISO/1101 and standard GB/T/T1958-2004 regulations, form error value contain practical element to be measured and have
Minimum widith E or minimum diameterContainment region indicate, and as referee method.Cylindricity is measured in actual production
The equipment of error has cylindricity instrument, three coordinate measuring machine etc., cylindricity instrument high certainty of measurement, but expensive, to measuring environment
It is required that high and its application is made to be subject to certain restrictions；Three coordinate measuring engine measurement cylindricity error is commonly used in laboratory, factory, is used
What is obtained when three coordinate measuring engine measurement cylindricity error is the coordinate value of series of discrete measuring point, needs to ask by data processing
Cylindricity error is solved, but current three coordinate measuring machine is merely given as the cylindricity error of least square fitting, and cannot provided
The cylindricity error of minimum area method, in addition current cylindricity measurement device can only carry out off-line measurement, need to position, precision
Difference, efficiency is low, and Set and Positioning can introduce new measurement error again repeatedly, make troubles to measurement.
Invention content
Technical problem to be solved by the invention is to provide a kind of On-machine Test, without resetting, raising accuracy of detection
With the cylindricity On-machine Test method of efficiency.
In order to solve the above technical problems, the present invention adopts the following technical scheme that：
Steps are as follows by the present invention：
1. carrying out clamping to tested cylinder using rotating device, and workpiece coordinate system is established based on three coordinate measuring machine；
101 start three coordinate measuring machine, and the column of mobile setting on the table calibrates the radius of gauge head；
102 cylinder is arranged in rotating device, and the rotating device includes：Pedestal, first rotating shaft, the second shaft,
Circular boop, buckle, the first semi-ring and the second semi-ring；First semi-ring is arranged by first rotating shaft on circular boop, and described second
Semi-ring is connect by buckling with the first semi-ring, and the circular boop is set on the base by the second shaft, the circular boop and the first half
Ring lower face is equipped with stabilizer blade, and the base bottom is equipped with mounting hole, and the workbench is equipped with threaded hole；The rotating device is logical
Cross mounting hole setting on the table；O-X-Y-Z workpiece coordinates are determined on the basis of the mounting hole of base bottom；
2. determining the initial pose of cylinder, measuring point is projected to x-o-y planes, determines its least square fitting center of circle；
201 determine the initial pose of cylinder, φα=0 °, φβ=0 °, contact sampling site is carried out to cylinder using gauge head and is obtained
To measuring point Pi, wherein i=1,2 ... n；
Measuring point is projected the subpoint obtained to x-o-y planes in plane by 202Wherein i=1,2 ... n；
It finds outLeast square fitting circle central coordinate of circle be Oz1(a, b), wherein
3. passing through mobile center of circle Oz1(a, b) determines projection measuring pointMinimum circumscribed circle, acquire under current pose
Cylinder angle value；
301 determine all subpointsAway from least square center Oz1Distance, be denoted as ri, wherein i=1,
2,...n；And find out riMaximum value rmaxWith minimum value rmin, remember that corresponding subpoint is H respectively1、L1, as external contact
With interior contact point；
302 determine ∠ H1Oz1L1Angle [alpha]1And its angular bisector Oz1Q1, determine γ1i=∠ Pi zOz1Q1, i=1,2,
...n；It calculatesWith
Acquire el1iAnd eh1iMinimum value e1, with e1For step-length edgeMove center of circle O in directionz1To Oz2, find out contact in another
Point L2；
303 determine ∠ L1 Oz2The angle [alpha] of L2And its angular bisector Oz2Q2, determine γ2i=∠ Pi zOz2Q2；It calculatesWithAcquire el2iWith
eh2iMinimum value e2, with e2For step-length, edgeMove center of circle O in directionz2To Oz3, when contact point in appearance, then enable it be
L2, repeat step 303；When there is external contact, it is H to enable it1, continue to execute step 304；
304 note acute angle ∠ L2Oz3H1Angle be α3And its angular bisector Oz3Q3, determineIt calculatesWithAcquire el3iWith
eh3iMinimum value e3, with e3For step-length, edgeMove center of circle O in directionz3To Oz4, when contact point in appearance, then enable it be
L2, repeat step 304；When there is external contact, then it is H to enable it2, continue to execute step 305；
305 judge line segment L1L2、H1H2Whether there is intersection point being extracted in profile, when there are intersection point, continues to execute step
306；Otherwise, cast out H1, and enable H2=H1, execute step 304；
306 acquire under the conditions of the new center of circle, determine all subpoint Pi zTo the distance r in the new center of circlei', wherein i=1,
2 ... n calculates cylindricity f=max { ri′}-min{ri', i=1,2 ..., n, the cylindricity under as current position and posture
Value；
4. changing the pose of cylinder, the minimum value of cylinder angle value under different positions and pose is determined；
401 determine pose transformation step-length e0, enable φα=φα+e0(i-1), φβ=φβ+e0(j-1), i, j=0,1,
2 ... n determines the new pose state of cylinder using workpiece coordinate system, carries out contact sampling site, executes step 3., and calculate
fi,j；
402 work as f1,1It is not fi,jMinimum value when, i, j=0,1,2 ... n finds out fi,jMinimum value be denoted as fi',j', i ',
J '=0,1,2 ... n enables φα=φα+e0(i'-1), φβ=φβ+e0(j'-1), the position of rotating mechanism and is rotated according to this, really
Determine the new pose state of cylinder (14), carry out contact sampling site, executes step 3., and calculate fi,j, repeat step 401；When
f1,1For fi,jMinimum value when, stop pose variation, f1,1The as cylinder angle value of cylinder.
The leg end portions ellipsoidal cross section, the stabilizer blade lower end are equipped with rubber pad.
The pose angle φα、φβVariation range be -90 °~90 °.
First semi-ring is coaxially disposed with circular boop, and the number of the stabilizer blade is 5 or more.
The positive effect of the present invention is as follows：The present invention is determined by adjusting rotating device using workpiece coordinate system and step-length
Different pose angles, avoids multiple clamping, improves the adaptability of operation；The present invention utilizes the second semi-ring snapped connection
Telescopic adjustment can be carried out on the first semi-ring, greatly extended the clamping range of rotating mechanism, facilitated measurement；The present invention
The determination of angle in two vertical planes is completed by the rotation of first rotating shaft and the second shaft, each pose angle is existed by stabilizer blade
It is slid on pedestal and determines and finally fixed by rubber pad, taken for follow-up gauge head and a little lay the foundation；The present invention is by by three coordinates
The three-dimensional measuring point that measuring machine acquires on the cylinder is projected to plane, and the center of circle of minimum zone circle is searched for by the method for iteration,
Enormously simplify the calculation amount of search；Measuring point after present invention projection determines the initial value in the center of circle by least square method, makes really
The search process determined under posture is more quick, moves heart direction by selection and moves heart step-length, reduces searching times, improve and search
Suo Jingdu, final required cylindricity error are more accurate.
Description of the drawings
Fig. 1 is schematic structural view of the invention；
Fig. 2 is stand bar structure schematic diagram of the present invention；
Fig. 3 is schematic diagram of base structure of the present invention；
Fig. 4 is the schematic diagram that the Moving Least Squares center of circle of the present invention obtains minimum circumscribed circle heart method；
Fig. 5 is present invention determine that minimum circumscribed circle Cross Criterion schematic diagram；
Fig. 6 is the flow chart that the present invention calculates measurement point cylindricity method under current pose；
Fig. 7 is the flow chart that the present invention changes that cylinder pose obtains the method for smallest cylinder degree；
Fig. 8 is workpiece coordinate system schematic diagram of the present invention；
In figure：1 pedestal, 2 first rotating shafts, 3 second shafts, 4 circular boops, 5 buckles, 6 second semi-rings, 7 stabilizer blades, 8 the first half
Ring, 9 mounting holes, 10 rubber pads, 11 workbench, 12 gauge heads, 13 threaded holes, 14 cylinders, 15 columns.
Specific implementation mode
The present invention is described in detail with specific example below in conjunction with the accompanying drawings.
As shown in Fig. 1,2,3,4,5,6,7,8,
1. carrying out clamping to tested cylinder 14 using rotating device, and workpiece coordinate is established based on three coordinate measuring machine
System；
101 start three coordinate measuring machine, and the mobile column 15 being arranged on workbench 11 carries out school to the radius of gauge head 12
It is accurate；
102 cylinder 14 is arranged in rotating device, and the rotating device includes：2, second turns of pedestal 1, first rotating shaft
Axis 3, circular boop 4, the 5, first semi-ring 8 of buckle and the second semi-ring 6；First semi-ring 8 is arranged by first rotating shaft 2 in circular boop 4
On, second semi-ring 6 is connect by buckle 5 with the first semi-ring 8, and the circular boop 4 is arranged by the second shaft 3 on pedestal 1,
The circular boop 4 and 8 lower face of the first semi-ring are equipped with stabilizer blade 7, and 1 bottom of the pedestal is equipped with mounting hole 9, is set on the workbench 11
There is threaded hole 13；The rotating device is arranged by mounting hole 9 on workbench 11；On the basis of the mounting hole 9 of 1 bottom of pedestal
Determine O-X-Y-Z workpiece coordinates；7 end cross-sectional of the stabilizer blade is oval, and 7 lower end of the stabilizer blade is equipped with rubber pad 10, described
Pose angle φα、φβVariation range be -90 °~90 °, first semi-ring 8 and circular boop 4 are coaxially disposed, the stabilizer blade 7
Number be 5 or more, second semi-ring, 6 material of the invention is plastics, and is evenly equipped on the inner wall of the second semi-ring 6 parallel floating
Point, for fixed tested cylinder 14, the number of the often row floating-point is 6~8, and the pedestal 1 is hemispherical, the stabilizer blade
7 bottom ends and pedestal 1 are tangent, and can be free to slide on pedestal 1, and 7 upper end of the stabilizer blade is hinged on the first semi-ring 8 and circular boop 4；
2. determining 14 initial pose of cylinder, measuring point is projected to x-o-y planes, determines its least square fitting center of circle；
201 determine 14 initial pose of cylinder, make φ by adjusting rotating deviceα=0 °, φβ=0 °, and utilize stabilizer blade 7
The rubber pad 10 of lower end is fixed, and then carrying out contact sampling site to cylinder 14 using gauge head 12 obtains three-dimensional measuring point Pi,
Wherein i=1,2 ... n；The measuring point is uniformly distributed form using layering, is generally distributed 3~4 layers along 14 axis direction of cylinder
Measuring point, every layer is equidistantly uniformly distributed 5~7 measuring points on 14 section circumference of cylinder；
202 project measuring point the two-dimensional projection's point obtained to coordinate system of machine X-O-Y planes in planeIts
Middle i=1,2 ... n；Two-dimensional projection's point is subjected to Least Square Circle fitting, is found outLeast square fitting it is round
Heart coordinate is Oz1(a, b), wherein
3. passing through Moving Least Squares center of circle Oz1(a, b) determines projection measuring pointMinimum circumscribed circle, acquire and work as
Cylinder angle value under preceding pose；
301 determine all two-dimensional projection's pointsAway from least square center Oz1Distance, be denoted as ri, wherein i=1,
2,...n；And find out riMaximum value rmaxWith minimum value rmin, remember that corresponding subpoint is H respectively1、L1, as external contact
With interior contact point；
302 determine ∠ H1Oz1L1Angle [alpha]1And its angular bisector Oz1Q1, determine γ1i=∠ Pi zOz1Q1, i=1,2,
...n；It calculatesWith
Acquire el1iAnd eh1iMinimum value e1, with e1For step-length edgeMove initial least square center O in directionz1To Oz2, find out another
An outer interior contact point L2；
303 determine ∠ L1Oz 2The angle [alpha] of L2And its angular bisector Oz2Q2, determine γ2i=∠ Pi zOz2Q2；It calculatesWithAcquire el2iWith
eh2iMinimum value e2, with e2For step-length, edgeMove center of circle O in directionz2To Oz3, when contact point in appearance, then enable it be
L2, repeat step 303；When there is external contact, it is H to enable it1, continue to execute step 304；
304 note acute angle ∠ L2Oz3H1Angle be α3And its angular bisector Oz3Q3, determineIt calculatesWithAcquire el3iWith
eh3iMinimum value e3, with e3For step-length, edgeMove center of circle O in directionz3To Oz4, when contact point in appearance, then enable it be
L2, repeat step 304；When there is external contact, then it is H to enable it2, continue to execute step 305；
305 judge line segment L1L2、H1H2Whether there is intersection point being extracted in profile, when there are intersection point, then meets most parcel
The Cross Criterion of Rong Yuan, continues to execute step 306；Otherwise, cast out H1, and enable H2=H1, execute step 304；
306 under conditions of acquiring the minimum circumscribed circle heart, determines all two-dimensional projection's point Pi zTo the minimum circumscribed circle heart away from
From ri', wherein i=1,2 ... n calculates cylindricity f=max { ri′}-min{ri', i=1,2 ..., n, as cylinder 14
Cylinder angle value under current position and posture；
4. changing the pose of cylinder 14, the minimum value of cylinder angle value under different positions and pose is determined；
401 determine pose transformation step-length e0, the step-length e0Value takes 2 ° to be iterated operation with 5 ° respectively, in order to ensure to take
Point precision, ensures e0Within 5 °, φ is then enabledα=φα+e0(i-1), φβ=φβ+e0(j-1), i, j=0,1,2 ... n, profit
The new pose state of cylinder 14 is determined with workpiece coordinate system, carries out contact sampling site, and the measuring point is uniformly distributed shape using layering
Formula is generally distributed 3~4 layers of measuring point along 14 axis direction of cylinder, and every layer is equidistantly uniformly distributed 5 on 14 section circumference of cylinder
3.~7 measuring points execute step, and calculate the cylinder angle value f of cylinder 14 under each position and posturei,j；
402 work as f1,1It is not fi,jMinimum value when, i, j=0,1,2 ... n finds out cylinder angle value f under each position and posturei,j
Minimum value be denoted as fi',j', i ', j '=0,1,2 ... n enables φα=φα+e0(i'-1), φβ=φβ+e0(j'-1), and according to this
The position for rotating rotating mechanism determines the new pose state of cylinder 14, carries out contact sampling site, and the measuring point is uniform using layering
Distribution form is generally distributed 3~4 layers of measuring point along 14 axis direction of cylinder, and every layer equidistant equal on 14 section circumference of cylinder
3. 5~7 measuring points of even distribution execute step, and calculate the cylinder angle value f of cylinder 14 under each position and posturei,j, repeat
Step 401；Work as f1,1For fi,jMinimum value when, stop pose variation, f1,1The as cylinder angle value of cylinder 14.
Embodiment described above is merely a preferred embodiment of the present invention, and the simultaneously exhaustion of the feasible implementation of non-present invention.It is right
For persons skilled in the art, any aobvious to made by it under the premise of without departing substantially from the principle of the invention and spirit and
The change being clear to should be all contemplated as falling within the claims of the present invention.
Claims (4)
1. a kind of cylindricity On-machine Test method, it is characterised in that steps are as follows：
1. carrying out clamping to tested cylinder (14) using rotating device, and workpiece coordinate system is established based on three coordinate measuring machine；
101 start three coordinate measuring machine, and the mobile column (15) being arranged on workbench (11) carries out the radius of gauge head (12)
Calibration；
102 cylinder (14) is arranged in rotating device, and the rotating device includes：Pedestal (1), first rotating shaft (2),
Two shafts (3), circular boop (4), buckle (5), the first semi-ring (8) and the second semi-ring (6)；First semi-ring (8) passes through first
Shaft (2) is arranged on circular boop (4), and second semi-ring (6) is connect by buckle (5) with the first semi-ring (8), the circular boop
(4) it is arranged on pedestal (1) by the second shaft (3), the circular boop (4) is equipped with stabilizer blade (7) with the first semi-ring (8) lower face,
Pedestal (1) bottom is equipped with mounting hole (9), and the workbench (11) is equipped with threaded hole (13)；The rotating device passes through
Mounting hole (9) is arranged on workbench (11)；Determine that O-X-Y-Z workpiece are sat on the basis of the mounting hole (9) of pedestal (1) bottom
Mark；
2. determining cylinder (14) initial pose, measuring point is projected to x-o-y planes, determines its least square fitting center of circle；
201 determine cylinder (14) initial pose, φα=0 °, φβ=0 °, cylinder (14) is connect using gauge head (12)
Touch sampling site obtains measuring point Pi, wherein i=1,2 ... n；
Measuring point is projected the subpoint obtained to x-o-y planes in plane by 202Wherein i=1,2 ... n；It asks
Go outLeast square fitting circle central coordinate of circle be Oz1(a, b), wherein
3. passing through mobile center of circle Oz1(a, b) determines projection measuring pointMinimum circumscribed circle, acquire cylinder under current pose
Angle value；
301 determine all subpointsAway from least square center Oz1Distance, be denoted as ri, wherein i=1,2 ... n；
And find out riMaximum value rmaxWith minimum value rmin, remember that corresponding subpoint is H respectively1、L1, as external contact and inscribed
Contact；
302 determine ∠ H1Oz1L1Angle [alpha]1And its angular bisector Oz1Q1, determine γ1i=∠ Pi zOz1Q1, i=1,2 ... n；
It calculatesWithIt acquires
el1iAnd eh1iMinimum value e1, with e1For step-length edgeMove center of circle O in directionz1To Oz2, find out another interior contact point L2；
303 determine ∠ L1Oz2L2Angle [alpha]2And its angular bisector Oz2Q2, determine γ2i=∠ Pi zOz2Q2；It calculatesWithAcquire el2iWith
eh2iMinimum value e2, with e2For step-length, edgeMove center of circle O in directionz2To Oz3, when contact point in appearance, then enable it be
L2, repeat step 303；When there is external contact, it is H to enable it1, continue to execute step 304；
304 note acute angle ∠ L2Oz3H1Angle be α3And its angular bisector Oz3Q3, determineIt calculatesWithAcquire el3iWith
eh3iMinimum value e3, with e3For step-length, edgeMove center of circle O in directionz3To Oz4, when contact point in appearance, then enable it be
L2, repeat step 304；When there is external contact, then it is H to enable it2, continue to execute step 305；
305 judge line segment L1L2、H1H2Whether there is intersection point being extracted in profile, when there are intersection point, continues to execute step 306；
Otherwise, cast out H1, and enable H2=H1, execute step 304；
306 acquire under the conditions of the new center of circle, determine all subpoint Pi zTo the distance r in the new center of circlei', wherein i=1,2 ... n,
Calculate cylindricity f=max { ri′}-min{ri', i=1,2 ..., n, the cylinder angle value under as current position and posture；
4. changing the pose of cylinder (14), the minimum value of cylinder angle value under different positions and pose is determined；
401 determine pose transformation step-length e0, enable φα=φα+e0(i-1), φβ=φβ+e0(j-1), i, j=0,1,2 ... n,
The new pose state of cylinder (14) is determined using workpiece coordinate system, carries out contact sampling site, executes step 3., and calculate fi,j；
402 work as f1,1It is not fi,jMinimum value when, i, j=0,1,2 ... n finds out fi,jMinimum value be denoted as fi',j', i ', j '
=0,1,2 ... n enables φα=φα+e0(i'-1), φβ=φβ+e0(j'-1), the position for and rotating rotating mechanism according to this, determines
The new pose state of cylinder (14) carries out contact sampling site, executes step 3., and calculate fi,j, repeat step 401；When
f1,1For fi,jMinimum value when, stop pose variation, f1,1The as cylinder angle value of cylinder (14).
2. a kind of cylindricity On-machine Test method according to claim 1, it is characterised in that：Stabilizer blade (7) end is cut
Face is oval, and stabilizer blade (7) lower end is equipped with rubber pad (10).
3. a kind of cylindricity On-machine Test method according to claim 1 or 2, it is characterised in that：The pose angle φα、
φβVariation range be -90 °~90 °.
4. a kind of cylindricity On-machine Test method according to claim 3, it is characterised in that：First semi-ring (8) with
Circular boop (4) is coaxially disposed, and the number of the stabilizer blade (7) is 5 or more.
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| CN201610958507.7A CN106289145B (en) | 2016-10-27 | 2016-10-27 | A kind of cylindricity On-machine Test method |
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| CN108253906B (en) * | 2018-03-20 | 2019-11-19 | 齐鲁工业大学 | A kind of axle housing circularity cylindricity detection device axis of workpiece location error compensation method |
| CN109238212B (en) * | 2018-07-13 | 2020-04-21 | 进峰（江门）五金制造有限公司 | Automatic end cover coaxiality detector |
| CN110375698B (en) * | 2019-08-23 | 2020-12-04 | 河南科技大学 | Inner hole roundness in-situ measurement method based on parameter identification |
| CN110470242B (en) * | 2019-08-23 | 2020-11-27 | 贵阳新天光电科技有限公司 | Device and method for measuring roundness of inner hole of large part in situ |
| CN110470243B (en) * | 2019-08-23 | 2020-11-27 | 贵阳新天光电科技有限公司 | Non-contact sensor-based workpiece-biasable inner circle measurement method and device |
| CN112025339B (en) * | 2020-08-28 | 2021-12-14 | 中钢集团西安重机有限公司 | Method for determining position of central hole of rotary tank body |
| CN114018202B (en) * | 2021-11-08 | 2024-02-02 | 绍兴职业技术学院 | Novel algorithm for rapidly evaluating roundness |
| CN114646274A (en) * | 2022-02-24 | 2022-06-21 | 南京钢铁股份有限公司 | Method for quantitatively analyzing surface quality of deformed steel bar based on roundness test |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN1458497A (en) * | 2002-05-17 | 2003-11-26 | 陈琪 | Separating measuring method and its device for cylindricity |
| DE102012214302A1 (en) * | 2012-08-10 | 2014-02-13 | Robert Bosch Gmbh | Tilting and / or centering table for a measuring machine for setting a positional and / or angular position of a measured object in a measuring space |
| FR3006047B1 (en) * | 2013-05-22 | 2015-06-05 | Peugeot Citroen Automobiles Sa | FOLLOWING PIECE OF A MEASUREMENT DRIFT OF A MEASURING DEVICE FOR SHAPING SHAPES AND CORRESPONDING METHOD |
| CN103292654B (en) * | 2013-06-11 | 2015-11-25 | 桂林电子科技大学 | A kind of method calculating function size of cylindrical part |
| CN103292655B (en) * | 2013-06-24 | 2015-12-02 | 桂林电子科技大学 | A kind of computing method of the cylindrical acts having benchmark to retrain |
| JP6482244B2 (en) * | 2014-11-10 | 2019-03-13 | 株式会社ミツトヨ | Method of placing workpiece on measuring machine and measuring machine |
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