JP2017207364A - Measurement method and measurement device - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a measurement method capable of measuring a shaft-like workpiece in detail.SOLUTION: A measurement method includes: a support step of supporting axial-direction both ends of a shaft-like workpiece W with a support mechanism 20; a restriction step of restricting rotation of the supported shaft-like workpiece W in a circumferential direction by the support mechanism 20; and a measurement step of measuring the whole of the shaft-like workpiece W, while maintaining a state of restricting the rotation of the shaft-like workpiece W in the circumferential direction and moving a probe 351 by movement mechanisms (X-axis drive part 32, a Y-axis drive part 33, and a Z-axis drive part 34).SELECTED DRAWING: Figure 2

Description

  The present invention relates to a measuring method and a measuring apparatus for measuring a shaft workpiece.

A measuring apparatus for measuring the shape of a long shaft workpiece is known.
For example, Patent Document 1 discloses a measuring apparatus that measures a cross section of a shaft workpiece while fixing the shaft workpiece such as a crankshaft to a chuck of a circular table and rotating the shaft workpiece.

Japanese Patent No. 4820681

  However, although the measuring apparatus of Patent Document 1 can measure the cross section of the shaft object work, it is not suitable for measurement other than the cross section of the shaft object work because it measures while rotating the shaft object work. For example, in the measuring apparatus of Patent Document 1, it is difficult to measure the length in the axial direction of the measurement part of the shaft workpiece. That is, although the column position can be obtained when the column is moved in the axial direction of the shaft workpiece, the surface of the surface when the measurement probe is brought into contact with the shaft workpiece from the axial direction and viewed from the axial direction of the shaft workpiece is shown. Since the position of the shape cannot be measured, the axial length of the measurement site cannot be measured.

  Then, this invention is made | formed in view of these points, and it aims at providing the measuring method which can measure a shaft workpiece workpiece in detail.

  In the first aspect of the present invention, a support step for supporting both axial ends of the shaft object work by a support mechanism, and a regulation step for restricting rotation of the shaft object work supported by the support mechanism in the circumferential direction. And a measurement step of measuring the whole of the shaft workpiece while maintaining the state in which the rotation of the shaft workpiece is restricted in the circumferential direction and moving the probe by a moving mechanism. I will provide a.

  In the measuring step, the probe measures a pair of surfaces intersecting the axial direction of the predetermined measurement site of the shaft object workpiece, and measures the length of the measurement site in the axial direction. Also good.

  Moreover, it is good also as measuring the hole part of the said shaft workpiece workpiece in the said measurement step.

  Further, in the supporting step, one end side in the axial direction of the shaft object work is supported by one end side support part of the support mechanism, and the other end side in the axial direction of the shaft object work is supported by the other end side support part of the support mechanism. In the measuring step, the shaft workpiece is moved while the probe is moved by the moving mechanism in a state where the rotary table connected to the other end side support portion and rotatable about the axial direction is stopped. It is good also as making it measure.

  Further, the measurement method further includes a rotation step of rotating the rotary table positioned at an attachment / detachment position for attaching / detaching the shaft object work to / from the support mechanism to a measurement position for measuring the shaft object work by the probe, In the measuring step, the shaft workpiece may be measured while the probe is moved by the moving mechanism in a state where the rotary table is positioned at the measurement position.

  Further, in the rotating step, the shaft workpiece supported by the one end side support portion and the other end side support portion is positioned with respect to the rotary table by a positioning portion provided on the rotary table. The rotary table may be rotated.

  Further, in the support step, the shaft object work is supported by the support mechanism in a state where the axial direction of the shaft object work is along a vertical direction, and in the measurement step, the contact type probe is moved from the side of the shaft object work. The shaft workpiece workpiece may be measured while contacting the shaft workpiece workpiece.

  In the second aspect of the present invention, a support mechanism that supports both ends of the axial workpiece in the axial direction, a probe that measures the axial workpiece while moving, and a movement that moves the probe in three axial directions orthogonal to each other. And a control unit for measuring the whole of the shaft workpiece while moving the probe by the moving mechanism while maintaining the state where the support mechanism restricts the rotation of the shaft workpiece in the circumferential direction. A measuring device is provided.

  The probe has a first contact portion and a second contact portion that extend in opposite directions on the distal end side and can contact the shaft workpiece, and the rotation of the shaft workpiece in the circumferential direction is restricted. The first contact portion is in contact with a first region located on one side of the outer peripheral surface of the shaft workpiece, and the second contact portion is a second of the outer peripheral surface opposite to the first region. It is good also as measuring the said outer peripheral surface of the said shaft workpiece workpiece by contacting an area | region.

  According to the present invention, there is an effect that a workpiece can be measured in detail.

It is a perspective view showing appearance composition of measuring device 1 concerning one embodiment of the present invention. It is a perspective view which shows the three-dimensional measuring machine 30 of the state which removed the housing | casing 31, and the support mechanism 20. FIG. It is a perspective view which shows the measuring apparatus 1 when the turntable 12 is located in a measurement position. It is a figure for demonstrating the measuring method of the diameter of the crankpin W1 of the shaft workpiece W. FIG. It is a figure for demonstrating the measuring method of the axial direction length (thickness) of the crank arm W3 of the shaft workpiece W. FIG. It is a figure for demonstrating the measuring method of the hole W4 of the shaft workpiece W. FIG. It is a flowchart for demonstrating the operation example of the measuring apparatus 1 at the time of measuring the shaft workpiece W.

<Configuration of measuring device>
With reference to FIGS. 1 and 2, the configuration of the measuring apparatus 1 according to an embodiment of the present invention will be described.

  FIG. 1 is a perspective view showing an external configuration of a measuring apparatus 1 according to one embodiment. FIG. 2 is a perspective view showing the coordinate measuring machine 30 and the support mechanism 20 with the casing 31 removed. As shown in FIG. 1, the measuring device 1 includes a base 10, a support mechanism 20, a three-dimensional measuring machine 30, and a control device 40.

  The measuring device 1 is a device that measures the shaft workpiece W with the coordinate measuring machine 30 in a state where the shaft workpiece W is supported by the support mechanism 20. The measuring device 1 measures the shaft workpiece W while moving the probe 351 of the coordinate measuring machine 30 without rotating the shaft workpiece W, as will be described in detail later.

  The base 10 supports the support mechanism 20 and the coordinate measuring machine 30. The base 10 is installed so that the upper surface is horizontal when the measuring apparatus 1 is placed on the floor. A columnar rotary table 12 is provided on the upper portion of the base 10.

  The turntable 12 is driven by a rotation drive unit (not shown) and rotates around a rotation axis in the vertical direction (Z-axis direction). In the present embodiment, the rotary table 12 has an attachment / detachment position (position shown in FIGS. 1 and 2) at which the shaft object work W is attached to and detached from the support mechanism 20 and a measurement position at which the shaft object work W is measured by the coordinate measuring machine 30. (Position shown in FIG. 3).

  FIG. 3 is a perspective view showing the measuring apparatus 1 when the rotary table 12 is located at the measurement position. 3 also shows the three-dimensional measuring machine 30 with the casing 31 removed for convenience of explanation. As can be seen by comparing FIG. 1 and FIG. 3, the attachment / detachment position of the rotary table 12 is a position where a positioning portion 26 (details will be described later) on the rotary table 12 is located on the coordinate measuring machine 30 side. The 12 measurement positions are positions where the positioning unit 26 is away from the coordinate measuring machine 30. The measurement position of the turntable 12 is, for example, a position rotated 180 degrees from the attachment / detachment position.

  Returning to FIG. 1, the support mechanism 20 supports both end sides of the axial workpiece W in the axial direction. In the present embodiment, the support mechanism 20 supports the shaft workpiece W in a vertically oriented state (a state in which the axial direction of the shaft workpiece W is parallel to the vertical direction). Here, the shaft workpiece W is a crankshaft or a camshaft of an automobile engine. Details of the support mechanism 20 will be described later.

  The three-dimensional measuring machine 30 measures the shape and the like of the shaft workpiece W supported by the support mechanism 20 when the rotary table 12 is positioned at the measurement position (FIG. 3). The three-dimensional measuring machine 30 is arranged on the side of the shaft workpiece W supported in the vertical direction (a direction orthogonal to the axial direction of the shaft workpiece W). The three-dimensional measuring machine 30 is a horizontal three-dimensional measuring machine that measures the shape of the shaft workpiece W by approaching the shaft workpiece W from the side of the shaft workpiece W. As shown in FIG. 2, the coordinate measuring machine 30 includes an X-axis drive unit 32, a Y-axis drive unit 33, a Z-axis drive unit 34, and a probe head 35.

  The X-axis drive unit 32 moves the probe head 35 in the X-axis direction, the Y-axis drive unit 33 moves the probe head 35 in the Y-axis direction, and the Z-axis drive unit 34 moves the probe head 35 in the Z-axis direction. Move to. The X-axis drive unit 32, the Y-axis drive unit 33, and the Z-axis drive unit 34 are configured by, for example, a feed screw mechanism. In the present embodiment, the X-axis drive unit 32, the Y-axis drive unit 33, and the Z-axis drive unit 34 correspond to a moving mechanism that moves the probe 351 in three axial directions orthogonal to each other. The X-axis drive unit 32, the Y-axis drive unit 33, and the Z-axis drive unit 34 are provided in the housing 31 (FIG. 1).

  The probe head 35 is provided on the slider of the Y-axis drive unit 33. The probe head 35 is moved in three axial directions (X-axis direction, Y-axis direction, and Z-axis direction) orthogonal to each other by the X-axis drive unit 32, the Y-axis drive unit 33, and the Z-axis drive unit 34. A probe 351 is detachably attached to the tip of the probe head 35.

  The probe 351 measures the shaft workpiece W while moving. Here, the probe 351 is a contact type probe that performs measurement by contacting the workpiece workpiece W. The measuring device 1 has probes 351 of various shapes, and the probe 351 can be exchanged according to the measurement site of the shaft workpiece W. The tip of the probe 351 may be configured to be freely moved by the probe head 35.

Returning to FIG. 1, the control device 40 controls the entire operation of the measuring device 1. The control device 40 includes a storage unit and a control unit.
The storage unit includes, for example, a ROM (Read Only Memory) and a RAM (Random Access Memory). The storage unit stores programs and various data to be executed by the control unit.
The control unit is, for example, a CPU (Central Processing Unit). The control unit controls the operation of the measuring apparatus 1 by executing a program stored in the storage unit. For example, the control unit controls the rotation of the turntable 12 and the movement of the probe head 35.

<Detailed Configuration of Support Mechanism 20>
A detailed configuration of the support mechanism 20 that supports the shaft workpiece W will be described with reference to FIGS. 2 and 3. The support mechanism 20 includes a lower support part 22, an upper support part 23, a Z-direction coarse movement mechanism 25, and a positioning part 26. In the present embodiment, the upper support portion 23 corresponds to one end side support portion, and the lower support portion 22 corresponds to the other end side support portion.

  The lower support portion 22 supports the other end side (specifically, the lower end portion) of the axial workpiece W in the axial direction. The lower support portion 22 is provided on the turntable 12 and rotates integrally with the turntable 12. For this reason, the shaft workpiece W supported by the lower support portion 22 also rotates integrally with the rotary table 12. The lower support portion 22 includes a lower support body 221 and a lower chuck 222.

  The lower support body 221 contacts a recess formed on the lower end surface of the shaft workpiece W and supports the lower side of the shaft workpiece W. Here, the lower support 221 is a true sphere, and the center of the lower support 221 is located on the rotation axis of the turntable 12. A shaft is connected to the lower support 221.

  The lower chuck 222 is a rod-shaped member and is provided on the turntable 12. A hole is provided in the center of the lower chuck 222, and the shaft of the lower support 221 is removably inserted into the hole. Thereby, the lower side support body 221 can be exchanged according to the shaft workpiece W.

  The upper support portion 23 supports one end side (specifically, the upper end portion) of the axial workpiece W in the axial direction. Since the upper support portion 23 is supported by the Z-direction coarse movement mechanism 25 as will be described later, unlike the lower support portion 22, it does not rotate when the turntable 12 rotates. The upper support part 23 includes an upper support 231, an upper chuck 232, and a pushing part 233.

  The upper support 231 is in contact with a recess formed on the upper end surface of the shaft workpiece W and supports the upper side of the shaft workpiece W. Here, the upper support 231 is a true sphere. A shaft is connected to the upper support 231.

  The upper chuck 232 is a rod-like member, and is fixed to the slider of the pushing portion 233. A hole is provided in the center of the upper chuck 232, and the shaft of the upper support 231 is removably inserted into the hole.

  The pushing part 233 pushes the upper end of the shaft workpiece W toward the lower side. Thereby, the support state of the shaft workpiece W is maintained. The pushing portion 233 is fixed to the Z slider 252 of the Z direction coarse movement mechanism 25.

  The Z direction coarse movement mechanism 25 is a mechanism for moving the pushing portion 233 in the Z direction. Thereby, it becomes possible to move the pushing part 233 to just above the shaft workpiece W. The Z direction rough movement mechanism 25 includes a Z column 251 and a Z slider 252.

  The Z column 251 is supported by the base 10 so as to be parallel to the shaft workpiece W supported in the vertical direction. The Z slider 252 is provided so as to be slidable in the Z direction along the Z column 251.

  The positioning part 26 has a function of positioning the shaft workpiece W supported by the lower support part 22 and the upper support part 23 with respect to the rotary table 12. The positioning unit 26 rotates together with the turntable 12 between the attachment / detachment position of the turntable 12 (FIG. 2) and the measurement position (FIG. 3). The positioning unit 26 includes a support column 261 and an arm unit 262.

  The support column 261 is provided in a standing state on the turntable 12. The support column 261 is fixed to the edge side of the turntable 12. The support column 261 is provided with a reference sphere 263 (FIG. 3) for calibrating the probe 351 before measuring the shaft workpiece W.

  The arm portion 262 extends from the column portion 261 toward the shaft workpiece W and is hooked on the shaft workpiece W. For example, the arm part 262 holds the shaft workpiece W. Thereby, the shaft workpiece W rotates together with the rotary table 12 in a state where the relative position with respect to the rotary table 12 is held by the positioning unit 26.

<Measuring method of shaft workpiece W>
In the measuring apparatus 1 according to this embodiment, the shaft workpiece W is measured while moving the probe 351 without rotating the shaft workpiece W supported by the support mechanism 20. That is, the control device 40 of the measuring apparatus 1 performs the measurement on the entire shaft workpiece W while moving the probe 351 while maintaining the state in which the support mechanism 20 regulates the rotation of the shaft workpiece W in the circumferential direction. Do.

  Specifically, the control device 40 causes the X-axis drive unit 32, the Y-axis drive unit 33, and the Z-axis drive unit 34 to move the probe 351 to the X-axis while the rotary table 12 is stopped at the measurement position (FIG. 3). The shaft workpiece W is measured while moving in the direction, the Y-axis direction, and the Z-axis direction. In the following description, it is assumed that the shaft workpiece W is a propeller shaft of an automobile engine.

FIG. 4 is a diagram for explaining a method of measuring the diameter of the crank pin W1 of the shaft workpiece W. Here, a cross-shaped probe 351 is attached to the probe head 35. The diameter of the crankpin W1 is measured by moving the probe 351 along the circumference of the crankpin W1. At this time, the diameter of the crankpin W1 can be measured by bringing the two contact portions 351a and 351b extending in opposite directions on the tip side of the probe 351 into contact with the crankpin W1.
Specifically, the contact portion 351a (first contact portion) is brought into contact with one half (first region) of the outer peripheral surface of the crankpin W1, and the contact portion 351b (second region) is contacted with the other half (second region) of the crankpin W1. By contacting the second contact portion), the diameter of the crankpin W1 can be measured. The diameter of the main journal W2 of the crankshaft can be similarly measured. That is, the diameter of various parts of the shaft workpiece W can be measured.

  FIG. 5 is a view for explaining a method of measuring the axial length (thickness) of the crank arm W3 of the workpiece W. Here, as in FIG. 4, a probe 351 having a cross shape is attached to the probe head 35. The thickness of the crank arm W3 is measured by measuring a pair of surfaces of the crank arm W3. In FIG. 5, the probe 351 measures a surface W3a on one side of the pair of surfaces of the crank arm W3 (the pair of surfaces are formed so as to intersect the axial direction of the shaft workpiece W, respectively). The state is shown. The probe 351 can measure the thickness of the crank arm W3 by measuring the surface opposite to the surface W3a.

  FIG. 6 is a view for explaining a method of measuring the hole W4 of the shaft workpiece W. Here, a probe 351 bent at a right angle is attached to the probe head 35. When measuring the hole W4 of the shaft work W, the probe 351 comes into contact with the inner peripheral surface of the hole W4 and measures the inner diameter and the like of the hole W4. Thus, various measurements are possible by exchanging the probe 351.

According to the present embodiment, the series of measurements described above with reference to FIGS. 4 to 6 is performed with the shaft workpiece W supported by the support mechanism 20 stationary. That is, the entire workpiece workpiece W is measured by moving the probe 351 without rotating the rotary table 12. In such a case, since the error due to the rotation of the rotary table 12 during a series of measurements can be eliminated, the shaft workpiece W can be measured with higher accuracy.
Further, in the case of the present embodiment, the entire measurement of the workpiece workpiece W can be performed at high speed. For example, unlike the present embodiment, when a part of the workpiece workpiece W is measured with the probe 351 and the rotary table 12 is rotated to measure another area, the rotation of the rotary table 12 and the probe 351 are measured. It is necessary to alternately perform the movement. That is, it is necessary to intermittently rotate the rotary table 12 and to move the probe 351 intermittently. On the other hand, in the case of the present embodiment, since the probe 351 can be moved and measured without being stopped, measurement can be performed at high speed.

  Further, in the case of the measurement method according to the present embodiment described above, the measurement is performed by rotating the workpiece of the shaft (the probe does not move during the measurement), and has the following advantages compared to the conventional measurement direction. That is, in the case of the conventional measuring method, the cross section of the shaft workpiece can be measured, but it is not suitable for measurement other than the cross section of the shaft workpiece. In particular, the thickness of the crank arm W3 shown in FIG. 5 and the hole W4 shown in FIG. 6 cannot be measured. On the other hand, in the case of the present embodiment, the thickness of the crank arm W3 and the hole W4 can be measured with high accuracy.

<Operation example of measuring apparatus 1>
With reference to FIG. 7, an operation example of the measuring apparatus 1 when measuring the workpiece workpiece W will be described.

FIG. 7 is a flowchart for explaining an operation example of the measuring apparatus 1 when measuring the workpiece workpiece W.
First, the control device 40 of the measuring apparatus 1 positions the rotary table 12 at the attachment / detachment position (FIG. 1) (step S102). The operator attaches the shaft workpiece W to the support mechanism 20 in a state where the rotary table 12 is located at the attachment / detachment position. Thereby, the upper end part and lower end part of the shaft workpiece W are supported by the support mechanism 20.

  Next, the control device 40 rotates the rotary table 12 located at the attachment / detachment position to the measurement position (FIG. 3) (step S104). For example, the control device 40 rotates the rotary table 12 from the attachment / detachment position by 180 degrees and positions it at the measurement position. Since the positioning unit 26 holds the shaft workpiece W, the shaft workpiece W rotates together with the rotary table 12.

  Next, the control device 40 calibrates the probe 351 before starting measurement (step S106). For example, the control device 40 calibrates the probe 351 by bringing the probe 351 into contact with a reference sphere 263 (FIG. 3) provided in the positioning unit 26 of the support mechanism 20.

  Next, the control device 40 measures the shaft workpiece W with the probe 351 while moving the probe head 35 with the rotary table 12 held at the measurement position (step S108). For example, the control device 40 moves the probe head 35 in the X-axis direction, the Y-axis direction, and the Z-axis direction by the X-axis drive unit 32, the Y-axis drive unit 33, and the Z-axis drive unit 34. Thereby, the probe 351 can measure each part of the shaft workpiece W as shown in FIGS.

  When the measurement of the shaft workpiece W is completed, the control device 40 rotates the rotary table 12 located at the measurement position to the attachment / detachment position (step S110). When the rotary table 12 is positioned at the attachment / detachment position, the operator removes the shaft workpiece W that has been measured from the support mechanism 20 and attaches the shaft workpiece W to be measured next to the support mechanism 20. Thereafter, the processes of steps S104 to S110 described above are repeated.

<Effect in this embodiment>
In the measurement apparatus 1 described above, the moving mechanism is maintained while maintaining the state in which the shaft workpiece W supported by the support mechanism 20 is not rotated in the circumferential direction (specifically, the state in which the rotary table 12 is stopped at the measurement position). While the probe 351 is moved by the above, the whole shaft workpiece W is measured.
In such a case, the detailed shape of the shaft workpiece W can be measured with high accuracy and high speed by moving the probe 351 without rotating the shaft workpiece W. For example, the diameters of the crank pin W1 and the main journal W2 of the crankshaft described above, the thickness of the crank arm W3, the inner diameter of the hole W4, and the like can be measured.

  In the above description, the support mechanism 20 supports the shaft workpiece W in the vertical direction. However, the present invention is not limited to this. For example, the support mechanism 20 may support the shaft workpiece W in a lateral direction.

  In the above description, the probe 351 is a contact probe that performs measurement by contacting the workpiece workpiece W. However, the present invention is not limited to this. For example, the probe 351 may be a non-contact type probe that performs measurement without contacting the shaft workpiece W.

  In the above description, the shaft workpiece W is a crankshaft or a camshaft for an automobile engine. However, the present invention is not limited to this, and may be another shaft workpiece.

  As mentioned above, although this invention was demonstrated using embodiment, the technical scope of this invention is not limited to the range as described in the said embodiment. It will be apparent to those skilled in the art that various modifications or improvements can be added to the above embodiment. It is apparent from the scope of the claims that the embodiments added with such changes or improvements can be included in the technical scope of the present invention.

DESCRIPTION OF SYMBOLS 1 Measuring apparatus 12 Rotary table 20 Support mechanism 22 Lower support part 23 Upper support part 26 Positioning part 32 X-axis drive part 33 Y-axis drive part 34 Z-axis drive part 35 Probe head 40 Control apparatus 351 Probe W Axis workpiece

Claims (9)

A support step for supporting both ends of the shaft object workpiece in the axial direction by a support mechanism;
A regulation step for regulating rotation of the shaft object workpiece supported by the support mechanism in the circumferential direction;
A measurement step for measuring the whole of the shaft object work while holding the state of restricting the rotation of the shaft object work in the circumferential direction and moving the probe by a moving mechanism;
A measuring method. In the measurement step, the probe measures a pair of surfaces intersecting the axial direction of a predetermined measurement site of the shaft object workpiece, and measures the length of the measurement site in the axial direction.
The measurement method according to claim 1. In the measuring step, the hole part of the shaft object workpiece is measured.
The measuring method according to claim 1 or 2. In the supporting step, one end side of the shaft object workpiece in the axial direction is supported by the one end side support portion of the support mechanism, and the other end side of the shaft object workpiece in the axial direction is supported by the other end side support portion of the support mechanism. ,
In the measuring step, the shaft workpiece is measured while the probe is moved by the moving mechanism in a state where the rotary table connected to the other end side support portion and rotatable about the axial direction is stopped. ,
The measurement method according to any one of claims 1 to 3. A rotation step of rotating the rotary table positioned at an attachment / detachment position for attaching / detaching the shaft object work to / from the support mechanism to a measurement position for measuring the shaft object work by the probe;
In the measurement step, the shaft workpiece is measured while moving the probe by the moving mechanism in a state where the rotary table is located at the measurement position.
The measuring method according to claim 4. In the rotation step, the rotation is performed in a state in which the shaft object work supported by the one end side support portion and the other end side support portion is positioned with respect to the rotation table by a positioning portion provided on the rotation table. Rotate the table,
The measuring method according to claim 5. In the supporting step, in a state where the axial direction of the shaft workpiece is along the vertical direction, the shaft workpiece is supported by the support mechanism,
In the measuring step, the shaft workpiece is measured while contacting the shaft workpiece from the side of the shaft workpiece with the contact probe.
The measuring method of any one of Claim 1 to 6. A support mechanism for supporting both axial ends of the shaft workpiece;
A probe for measuring the workpiece while moving,
A moving mechanism for moving the probe in three axial directions orthogonal to each other;
A control unit for measuring the whole of the shaft workpiece while moving the probe by the moving mechanism while maintaining the state where the support mechanism restricts the rotation of the shaft workpiece in the circumferential direction;
A measuring device. The probe has a first contact portion and a second contact portion that extend in opposite directions to each other on the distal end side and can contact the shaft workpiece,
In a state where rotation of the shaft workpiece in the circumferential direction is restricted, the first contact portion contacts a first region located on one side of the outer peripheral surface of the shaft workpiece, and the second contact portion is Measuring the outer peripheral surface of the shaft workpiece by contacting a second region of the outer peripheral surface opposite to the first region;
The measuring apparatus according to claim 8.

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