CN104613845B - A kind of high-precision sphere diameter on-position measure device and method - Google Patents
A kind of high-precision sphere diameter on-position measure device and method Download PDFInfo
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- CN104613845B CN104613845B CN201410806495.7A CN201410806495A CN104613845B CN 104613845 B CN104613845 B CN 104613845B CN 201410806495 A CN201410806495 A CN 201410806495A CN 104613845 B CN104613845 B CN 104613845B
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- 238000005259 measurement Methods 0.000 claims abstract description 42
- 238000006243 chemical reaction Methods 0.000 claims description 7
- 229910001369 Brass Inorganic materials 0.000 claims description 3
- 239000010951 brass Substances 0.000 claims description 3
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- 238000005755 formation reaction Methods 0.000 claims description 2
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- 238000000034 method Methods 0.000 abstract description 4
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- 238000010586 diagram Methods 0.000 description 6
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Abstract
The invention discloses a kind of high-precision sphere diameter on-position measure device and method, including locking nut (3), determine ring support (2), moving-coil (1) and versatile smart dimension measuring implement (4)；Locking nut (3) positioned at determine ring support (2) outside, locking nut (3) using elastic card pipe clamp principle will determine ring support (2) be fixed on versatile smart dimension measuring implement measuring staff it is cylindrical on；Moving-coil (1) measures working portion with versatile smart dimension measuring implement by male thread portion (11) and is connected, and the second cylindrical part (13) of moving-coil (1) contacts with bulb to be measured respectively with determining the cylindrical part (23) of ring support (2)；The sphere diameter of bulb to be measured is obtained according to the variable quantity of versatile smart dimension measuring implement (4) apparent value when measurement standard part and bulb to be measured.Cost of the present invention is low, and good environmental adaptability is compact-sized, and precision meets requirement, and efficiently and accurately in place sphere diameter size detection of the bulb on process equipment can be achieved.
Description
Technical field
The present invention relates to a kind of high-precision sphere diameter on-position measure device and method.
Background technology
Ball bearing part generally comprises ball bowl bearing parts and hemisphere bearing part, is spherical dynamic pressure air float gyro machine
Critical component, its precision directly determines the Performance And Reliability of gyro machine.Conventional sphere diameter detection uses three traditional seats
Mark measuring instrument, it is necessary to workpiece is taken off from process equipment, so in process quite a few time loss in work
Part is loaded in dismounting and metering wait, causes processing efficiency low；And the amount of going due to the process equipment unit interval and unstable, need
Timely to grasp the current allowance of workpiece.Therefore, need badly develop it is a kind of specifically on production line onsite application it is high-precision
Sphere diameter on-position measure device is spent, to realize efficient, the accurate on-position measure of sphere diameter processing.
The content of the invention
The technical problems to be solved by the invention are：It is low to provide a kind of cost specifically for onsite application on production line,
Good environmental adaptability, compact-sized high-precision sphere diameter on-position measure device and method, to realize the efficient, accurate of sphere diameter processing
On-position measure, measurement accuracy reach more than 0.0015mm.
The technical scheme is that：
A kind of high-precision sphere diameter on-position measure device, including locking nut, determine ring support, moving-coil and versatile smart size quantity
Tool；Locking nut positioned at ring support outside determine, by locking nut will determine ring support, and to be fixed on versatile smart dimension measuring implement measuring staff cylindrical
On；
Through hole is formed determining the middle of ring support, determines conical portion, external screw thread that ring support includes being sequentially connected from the top down
Part and cylindrical part；Multiple grooves are formed on conical portion outer surface；The through hole formed among cylindrical part
Diameter is bigger than the through-hole diameter formed among conical portion；
Locking nut includes the conical portion and cylindrical part being sequentially connected from the top down；In the circular cone of locking nut
Cone-shaped hole is formed among shape part, is formed in the cylindrical part of locking nut and has female through hole；It is described fixed
The cone-shaped hole of the conical portion of ring support and the locking nut coordinates, the male thread portion for determining ring support and the lock
The female through hole of tool of tight nut coordinates；
Moving-coil includes male thread portion, the first cylindrical part and the second cylindrical part being sequentially connected from the top down；
The diameter of second cylindrical part is bigger than the diameter of the first cylindrical part, and male thread portion and the first cylindrical portion divide it
Between have escape：Moving-coil measures working portion with versatile smart dimension measuring implement by male thread portion and is connected, and the second of moving-coil
Cylindrical part contacts with bulb to be measured respectively with determining the cylindrical part of ring support, and above bulb to be measured；
Ball to be measured is obtained according to the variable quantity of versatile smart dimension measuring implement apparent value when measurement standard part and bulb to be measured
The sphere diameter of shape part.
The bulb to be measured is ball bowl bearing parts, and the second cylindrical part of moving-coil is from the cylindrical portion for determining ring support
Divide and stretch out, and contacted with the interior bowl bottom of ball bowl bearing parts；Determine the cylindrical part of ring support and the interior bowl of ball bowl bearing parts
Top contact.
The bulb to be measured is hemisphere bearing part, and the second cylindrical part of moving-coil, which is located at, to be determined inside ring support, is moved
Second cylindrical part of circle forms the inner chamber of accommodating portion hemisphere bearing part；Second cylindrical part of moving-coil and hemisphere axle
The outer bowl bottom for holding part is in contact, and determines the cylindrical part of ring support and the outer bowl top contact of hemisphere bearing part.
Determine ring support and use brass with moving-coil.
The male thread portion of moving-coil is with moving-coil upper level-end face, the perpendicularity of lower level-end face end face within 0.005mm.
The method for carrying out spherical diameter measurement using a kind of above-mentioned high-precision sphere diameter on-position measure device, it is characterised in that：Including
Following steps：
The high-precision sphere diameter on-position measure device is placed on standard component vertically, it is in place by the high-precision sphere diameter
Measurement apparatus deadweight ensure to determine ring support, moving-coil respectively with standard component reliable contacts；According to the show value of versatile smart dimension measuring implement
It is determined that initial apparent value；
The high-precision sphere diameter on-position measure device is placed on bulb to be measured vertically, by the high-precise ball
The deadweight of footpath on-position measure device ensure to determine ring support, moving-coil respectively with bulb reliable contacts to be measured；According to versatile smart size
The show value of measurer determines measurement apparent value；
Measurement apparent value is subtracted each other into acquisition difference with initial apparent value, searching dimension conversion table according to the difference determines ball to be measured
The sphere diameter of shape part.
The present invention compared with prior art the advantages of be：
(1) the standard mounting interface of versatile smart dimension measuring implement is organically combined with measuring moving-coil, determining ring support,
Cost is low, good environmental adaptability, compact-sized, ensures that determining ring support, moving-coil and bulb can be abutted against by measurement apparatus deadweight
Touch, it is possible to achieve on-position measure.
(2) converted, completed to ball zero by being tested the variable quantity of sphere diameter part difference in height between two fixed chord lengths
The indirect measurement of part sphere diameter, the conversion of versatile smart dimension measuring implement apparent value can be drawn into sphere diameter size, make measurement apparatus itself
Precision reaches more than 0.0015mm, ensures that spherical diameter measurement device meets requirement.
Brief description of the drawings
Fig. 1 is the high-precision sphere diameter on-position measure device front view of the present invention；Fig. 1 a are that ball bowl bearing parts sphere diameter is surveyed in place
Device is measured, Fig. 1 b are hemisphere bearing part sphere diameter on-position measure device.
Fig. 2 determines ring support schematic diagram for the present invention；Fig. 2 a are to determine ring support corresponding to ball bowl bearing parts, and Fig. 2 b are hemisphere bearing
Ring support is determined corresponding to part.
Fig. 3 is locking nut schematic diagram of the present invention.
Fig. 4 is moving-coil schematic diagram of the present invention；Fig. 4 a are moving-coil corresponding to ball bowl bearing parts；Fig. 4 b are hemisphere bearing part
Corresponding moving-coil.
Schematic diagram when Fig. 5 is present invention work, schematic diagram when Fig. 5 a are measurement ball bowl bearing parts, Fig. 5 b are measurement half
Schematic diagram during ball bearing part.
Embodiment
As shown in figure 1, a kind of high-precision sphere diameter on-position measure device, including locking nut 3, determine ring support 2, moving-coil 1 and logical
With precise measure measurer 4；Locking nut 3 will determine ring support 2 by locking nut 3 and be fixed on versatile smart positioned at the outside of ring support 2 is determined
On dimension measuring implement measuring staff is cylindrical；Determine ring support 2 and moving-coil 1 uses elasticity preferably and material is softer, is not easy to scratch tested part surface
H59 brass.
As shown in Fig. 2 forming through hole determining the middle of ring support 2, the cone that ring support 2 includes being sequentially connected from the top down is determined
Part 21, male thread portion 22 and cylindrical part 23；Multiple grooves 24 are formed on the outer surface of conical portion 21；In cylinder
The diameter of through hole 25 formed among part 23 is bigger than the diameter of through hole 26 formed among conical portion 21；This structure is set
Meter can ensure that the conical portion 21 for determining ring support 2 has preferable shrinkage, when tapered segment 21 is acted on by external force, through hole
26 diameter will reduce, so that by the cylindrical holding of versatile smart dimension measuring implement measuring staff, meanwhile, the larger diameter value of endoporus 25 can be true
Moving-coil 1 is protected not interfere with determining ring support 2.
As shown in figure 3, locking nut 3 includes the conical portion 31 and cylindrical part 32 being sequentially connected from the top down；
Cone-shaped hole 33 is formed in the middle of conical portion 31 of locking nut 3, is formed in the cylindrical part 32 of locking nut 3
Has female through hole 34；The cone-shaped hole 33 of the conical portion 21 for determining ring support 2 and the locking nut coordinates,
The female through hole 34 of tool of the male thread portion 22 for determining ring support 2 and the locking nut 3 coordinates.
As shown in figure 4, moving-coil 1 includes male thread portion 11, the and of the first cylindrical part 12 being sequentially connected from the top down
Second cylindrical part 13；The diameter of second cylindrical part 13 is bigger than the diameter of the first cylindrical part 12, external screw thread
There is escape 14 between the cylindrical part 12 of part 11 and first：Moving-coil 1 passes through male thread portion 11 and versatile smart size quantity
Tool measurement working portion is connected, the second cylindrical part 13 of moving-coil 1 with determine the cylindrical part 23 of ring support 2 respectively with it is to be measured
Ball bowl bearing parts 5 or hemisphere bearing part 6 contact, and above bulb to be measured.
As shown in Figure 5 a, the bulb to be measured is ball bowl bearing parts 5, the second cylindrical part 13 of moving-coil 1 from
The cylindrical part for determining ring support 2 stretches out, and is contacted with the interior bowl bottom of ball bowl bearing parts 5；Determine the cylindrical part of ring support 2 with
The interior bowl top contact of ball bowl bearing parts 5.
As shown in Figure 5 b, the bulb to be measured is hemisphere bearing part 6, the second cylindrical part 13 of moving-coil 1
In determining inside ring support 2, the second cylindrical part 13 of moving-coil 1 forms the inner chamber of accommodating portion hemisphere bearing part 6；Moving-coil 1
Second cylindrical part 13 is in contact with the outer bowl bottom of hemisphere bearing part 6, determines the cylindrical part and hemisphere bearing of ring support 2
The outer bowl top contact of part 6.
Wherein locking nut is bonded with determining ring support by the conical surface, when locking nut turns clockwise, determines the elasticity of ring support
Structure will be shunk, and cylindrical so as to the measuring staff of " holding " versatile smart dimension measuring implement, moving-coil is surveyed by versatile smart dimension measuring implement
Standard thread on head is connected with versatile smart dimension measuring implement measurement working portion, and utilizes the measurement of versatile smart dimension measuring implement
Working portion guide rail slides.
Wherein locking nut, determine ring support using elastic card pipe clamp principle elastic card pipe clamp mainly utilize fixture elasticity
The purpose for reaching clamping is shunk and deforms, this class formation, which can ensure to be clamped, has higher axiality to fix between part and fixture
On versatile smart dimension measuring implement measuring staff is cylindrical, moving-coil passes through versatile smart dimension measuring implement gauge head standard thread and versatile smart chi
Very little gage measuring working portion is connected, and moving-coil is slided using versatile smart dimension measuring implement measurement working portion guide rail, during measurement
The device is placed on bulb to be measured vertically, ensuring to determine ring support, moving-coil and bulb using measurement apparatus deadweight can
Be abutted against it is tactile, by versatile smart dimension measuring implement apparent value conversion can draw sphere diameter size.
Determine the endoporus of ring support 2 and versatile smart dimension measuring implement measuring staff it is cylindrical between have 0.001-0.003mm gaps, determine ring support and consolidate
Surely it is to be locked by elastic card pipe clamp principle and eliminate respective clearance, it is ensured that determine ring support and reliably accurately fix, ensure measurement knot
Fruit is reliably repeated.
Male thread portion 11 on moving-coil and moving-coil up and down two horizontal end face A, end face B perpendicularity within 0.005mm,
So as to ensure that moving-coil 1 is connected reliably with versatile smart dimension measuring implement 4, and the measurement direction of versatile smart dimension measuring implement 4 and end face B
Vertically.
The versatile smart dimension measuring implement is precision disc type dial gauge, also referred to as：Clock and watch amesdial.Versatile smart size
Determine distance dependent between the lower surface of ring support 2 and the lower surface of moving-coil 1 when the apparent value and measurement bulb of measurer 4, marked according to measurement
The variable quantity of the apparent value of versatile smart dimension measuring implement 4 obtains the sphere diameter of bulb to be measured when quasi- part, bulb to be measured.
The measuring method of high-precision sphere diameter on-position measure device is：Using sphere diameter variable quantity it is less in the case of, two are solid
The variable quantity of difference in height is approximately the measuring principle of definite value between length of tuning up, and determines that measurement apparatus is initial by being compared with standard component
Apparent value, the ball that can accurately converse tested bulb is compareed with dimension conversion table again according to measurement apparent value variable quantity every time
Footpath, the precision of measurement is 1.5 μm；Specific method is：
The high-precision sphere diameter on-position measure device is placed on standard component vertically, it is in place by the high-precision sphere diameter
Measurement apparatus deadweight ensure to determine ring support 2, moving-coil 1 respectively with standard component reliable contacts；According to the display of versatile smart dimension measuring implement 4
Value determines initial apparent value；
The high-precision sphere diameter on-position measure device is placed on bulb to be measured vertically, by the high-precise ball
The deadweight of footpath on-position measure device ensure to determine ring support 2, moving-coil 1 respectively with bulb reliable contacts to be measured, as shown in Figure 5；According to
The show value of versatile smart dimension measuring implement 4 determines measurement apparent value；
Measurement apparent value is subtracted each other into acquisition difference with initial apparent value, searching dimension conversion table according to the difference determines ball to be measured
The sphere diameter of shape part, so as to complete the measurement to measured workpiece size.
When bulb to be measured is ball bowl bearing parts 5, standard component is standard ball bowl；When bulb to be measured is hemisphere
During bearing parts 6, standard component is standard ball.
Used when carrying out dimensional measurement using the device by a diameter of Φ 15 or so ball bowl bearing parts as shown in table 1
The size table of comparisons, wherein the 3rd row " determine ring support end face and moving-coil face height be poor " be calculated using AutoCAD graphics softwares
Obtained theoretical value, the difference of adjacent rows numerical value during each value of the 4th row arranges for the 3rd.
The ball bowl bearing parts of 1 Φ of table 15 measures the size table of comparisons
| Sequence number | Ball bowl diameter | Determine ring support end face and moving-coil face height is poor | Adjacent dimensional height is poor |
| 1 | Φ14.985 | 4.2797 | 0 |
| 2 | Φ14.990 | 4.2729 | 0.0068 |
| 3 | Φ14.995 | 4.2661 | 0.0068 |
| 4 | Φ15.000 | 4.2593 | 0.0068 |
| 5 | Φ15.005 | 4.2526 | 0.0067 |
| 6 | Φ15.010 | 4.2459 | 0.0067 |
| 7 | Φ15.015 | 4.2393 | 0.0066 |
| 8 | Φ15.020 | 4.2328 | 0.0065 |
Now the service condition of the device is illustrated below：
If the standard ball bowl diameter used is Φ 14.995, table 2 will be transformed to by now measuring the size table of comparisons.Sphere diameter is surveyed
First by standard ball bowl, to measurement apparatus progress, " operation of school zero " (fully connects measurement apparatus and standard ball bowl during amount
Touch, by rotating the dial plate of versatile smart dimension measuring implement, hand of dial is referred in zero graduation line), then measurement apparatus is placed
On ball bowl to be measured, ensure measurement apparatus fully contacted with ball bowl to be measured, record now dial reading and with the columns of table 2 the 5th
According to being compared, so as to find ball bowl diameter value to be measured.Such as：Dial reading is -0.0135, then passes through table 2, ball to be measured
Bowl diameter is Φ 15.005.
The ball bowl bearing parts of 2 Φ of table 15 measures size table of comparisons example
The undisclosed technology of the present invention belongs to general knowledge as well known to those skilled in the art.
Claims (4)
- A kind of 1. high-precision sphere diameter on-position measure device, it is characterised in that：The high-precision sphere diameter on-position measure measurement device essence Degree reaches more than 0.0015mm, including locking nut (3), determines ring support (2), moving-coil (1) and versatile smart dimension measuring implement (4)；Lock Tight nut (3) positioned at determine on the outside of ring support (2), by locking nut (3) will determine ring support (2) be fixed on the survey of versatile smart dimension measuring implement On bar is cylindrical；Determine ring support (2) and moving-coil (1) uses elasticity preferably and material is softer, is not easy to scratch bulb surface to be measured Brass；Determining ring support (2) among formed through hole, determine ring support (2) including be sequentially connected from the top down conical portion (21), Male thread portion (22) and cylindrical part (23)；Multiple grooves (24) are formed on conical portion (21) outer surface；In cylinder Through hole (26) diameter that through hole (25) the diameter ratio formed among shape part (23) is formed among conical portion (21) Greatly；There is 0.001- between the through hole (26) of formation and versatile smart dimension measuring implement measuring staff are cylindrical among conical portion (21) 0.003mm gaps, it is to be locked by elastic card pipe clamp principle and eliminate respective clearance to determine ring support to fix, and works as conical portion (21) when being acted on by external force, the diameter of through hole (26) will reduce, so as to by the cylindrical holding of the measuring staff of versatile smart dimension measuring implement；Locking nut (3) includes the conical portion (31) and cylindrical part (32) being sequentially connected from the top down；In locking screw Cone-shaped hole (33), cylindrical part (32) shape in locking nut (3) are formed among the conical portion (31) of female (3) Into the female through hole (34) of tool；The cone of the conical portion (21) and the locking nut for determining ring support (2) leads to Hole (33) coordinates, the female through hole of tool of the male thread portion (22) for determining ring support (2) and the locking nut (3) (34) coordinate；Locking nut (3) is bonded with determining ring support (2) by the conical surface；When locking nut turns clockwise, the bullet of ring support is determined Property structure will shrink, cylindrical so as to hold the measuring staff of versatile smart dimension measuring implement tightly；Moving-coil (1) includes male thread portion (11), the first cylindrical part (12) and the second cylinder being sequentially connected from the top down Shape part (13)；The diameter of second cylindrical part (13) is bigger than the diameter of the first cylindrical part (12), external thread part Dividing has escape (14) between (11) and the first cylindrical part (12)：Moving-coil (1) passes through male thread portion (11) and general essence Close dimension measuring implement measurement working portion is connected, the second cylindrical part (13) of moving-coil (1) and the cylindrical portion for determining ring support (2) (23) are divided to be contacted respectively with bulb to be measured, and above bulb to be measured；Using sphere diameter variable quantity it is less in the case of, the variable quantity of difference in height is approximately the measurement of definite value between two fixed chord lengths Principle, according to the variable quantity and dimension conversion of versatile smart dimension measuring implement (4) apparent value when measurement standard part and bulb to be measured Table control obtains the sphere diameter of bulb to be measured；The size table of comparisons includes sequence number, ball bowl diameter, determines ring support end face and moving-coil Face height is poor, adjacent dimensional height difference and versatile smart dimension measuring implement show value；The male thread portion (11) of moving-coil exists with moving-coil upper level-end face (A), the perpendicularity of lower level-end face end face (B) Within 0.005mm.
- A kind of 2. high-precision sphere diameter on-position measure device according to claim 1, it is characterised in that：Described to be measured spherical zero Part is ball bowl bearing parts (5), and the second cylindrical part (13) of moving-coil (1) stretches out from the cylindrical part for determining ring support (2), and Contacted with the interior bowl bottom of ball bowl bearing parts (5)；Determine the cylindrical part of ring support (2) and the interior bowl of ball bowl bearing parts (5) Top contact.
- A kind of 3. high-precision sphere diameter on-position measure device according to claim 1, it is characterised in that：Described to be measured spherical zero Part is hemisphere bearing part (6), and the second cylindrical part (13) of moving-coil (1) is positioned at determine inside ring support (2), the of moving-coil (1) Two cylindrical parts (13) form the inner chamber of accommodating portion hemisphere bearing part (6)；The second cylindrical part (13) of moving-coil (1) It is in contact with the outer bowl bottom of hemisphere bearing part (6), determines the outer of the cylindrical part of ring support (2) and hemisphere bearing part (6) Bowl top contact.
- 4. the side of spherical diameter measurement is carried out using the high-precision sphere diameter on-position measure device described in claim 1-3 any claims Method, it is characterised in that：Comprise the following steps：The high-precision sphere diameter on-position measure device is placed on standard component vertically, by the high-precision sphere diameter on-position measure Device deadweight ensure to determine ring support (2), moving-coil (1) respectively with standard component reliable contacts；According to the aobvious of versatile smart dimension measuring implement (4) Indicating value determines initial apparent value；The high-precision sphere diameter on-position measure device is placed on bulb to be measured vertically, existed by the high-precision sphere diameter Level measuring arrangement deadweight ensure to determine ring support (2), moving-coil (1) respectively with bulb reliable contacts to be measured；According to versatile smart chi The show value of very little measurer (4) determines measurement apparent value；Measurement apparent value is subtracted each other into acquisition difference with initial apparent value, searching dimension conversion table according to the difference determines to be measured spherical zero The sphere diameter of part,The size table of comparisons includes sequence number, ball bowl diameter, determines ring support end face and moving-coil face height is poor, and adjacent dimensional height is poor With versatile smart dimension measuring implement show value.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410806495.7A CN104613845B (en) | 2014-12-19 | A kind of high-precision sphere diameter on-position measure device and method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410806495.7A CN104613845B (en) | 2014-12-19 | A kind of high-precision sphere diameter on-position measure device and method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN104613845A CN104613845A (en) | 2015-05-13 |
| CN104613845B true CN104613845B (en) | 2018-02-09 |
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ID=
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6145901A (en) * | 1984-08-10 | 1986-03-06 | Nagura Tekkosho:Kk | Automatic measuring machine for screw diameter |
| CN2879113Y (en) * | 2005-12-30 | 2007-03-14 | 上海电气液压气动有限公司液压泵厂 | Ball socket diameter measuring instrument |
| CN201522250U (en) * | 2009-04-21 | 2010-07-07 | 隆昌山川精密焊管有限责任公司 | Measuring tool used for bottom cover of shock absorber |
| CN201926411U (en) * | 2011-01-28 | 2011-08-10 | 河南中轴股份有限公司 | Device for measuring aperture of end-face central hole |
| CN102445137A (en) * | 2011-09-20 | 2012-05-09 | 飞翼股份有限公司 | Device for measuring radius of spherical crown and measuring method thereof |
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6145901A (en) * | 1984-08-10 | 1986-03-06 | Nagura Tekkosho:Kk | Automatic measuring machine for screw diameter |
| CN2879113Y (en) * | 2005-12-30 | 2007-03-14 | 上海电气液压气动有限公司液压泵厂 | Ball socket diameter measuring instrument |
| CN201522250U (en) * | 2009-04-21 | 2010-07-07 | 隆昌山川精密焊管有限责任公司 | Measuring tool used for bottom cover of shock absorber |
| CN201926411U (en) * | 2011-01-28 | 2011-08-10 | 河南中轴股份有限公司 | Device for measuring aperture of end-face central hole |
| CN102445137A (en) * | 2011-09-20 | 2012-05-09 | 飞翼股份有限公司 | Device for measuring radius of spherical crown and measuring method thereof |
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