CN109238200A - A method of detection bevel gear root bores parameter - Google Patents
A method of detection bevel gear root bores parameter Download PDFInfo
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- CN109238200A CN109238200A CN201811066363.XA CN201811066363A CN109238200A CN 109238200 A CN109238200 A CN 109238200A CN 201811066363 A CN201811066363 A CN 201811066363A CN 109238200 A CN109238200 A CN 109238200A
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- bevel gear
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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
- G01B21/02—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 length, width, or thickness
- G01B21/04—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 length, width, or thickness by measuring coordinates of points
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Abstract
The present invention relates to a kind of methods for detecting bevel gear dedendum cone parameter, utilize the method put on three-dimensional coordinates measurement machine testing bevel gear root cone curved surface, realize the detection of root cone parameter, the measurement method detection speed for comparing old is fast, it is small that area is surveyed in touching, a pair of of tooth is only processed when can be realized between process to be detected, and finished work-piece must be detected and need to destroy the defect that workpiece is just capable of measuring by solving.
Description
Technical field
The present invention relates to a kind of measurement method, a method of detection bevel gear dedendum cone parameter.
Background technique
Bevel gear is important component in transmission system, and its root cone (tooth root circular cone) parameter is an important tooth form technology
Parameter affects the uniformity of gear teeth bottom carburized layer distribution, and then influences the overall performance index of entire bevel gear.Bevel gear
The detection accuracy that root bores parameter influences its bevel gear making very big: when bevel gear roughing, such as measuring and is not allowed, will lead to mill
The surplus for finishing (tooth stage) is insufficient；When bevel gear finishes, such as measures and be not allowed, will lead to gear wheel carburization layer and be destroyed, two
Kind situation can all cause bevel gear to scrap in batch.So the detection of bevel gear root cone parameter is most important.
Root cone parameter generally includes: cone angle, specified cross-section circular diameter, specified cross-section height.
Currently, the detection of bevel gear root cone parameter is bevel gear root feature to be acquired, according to circle using three coordinate measuring machine
The method of cone detects evaluation.Disadvantage can only detect finished workpart, be unfavorable for the detection of progress parameter adjustment between compounding operation, especially
For causing root cone that can touch the bevel gear surveyed part and do not acquire 10~30mm straight line enough because modulus is small or tooth root area is small, to keep away
Open probe interference, it is also necessary to destructively grind off 1~2 tooth, just be able to achieve testing goal.
Summary of the invention
The purpose of the present invention is studying a kind of fast and accurately bevel gear root cone parameter detection method, that is, can avoid to tooth
The destruction of wheel, moreover it is possible to meet the detection needs of parameter adjustment between process.
The technical scheme is that the method for the described detection bevel gear dedendum cone parameter the following steps are included:
(1) it processes: preparing bevel gear to be measured, and by Gear Processing at least in the presence of a complete tooth root；
(2) coordinate system is established: minimum with required three coordinate measuring machine gauge head rotation angle number according to design drawing requirement
It is put for principle, and acquires tested gear basic using three coordinate measuring machine, establish measurement coordinate system；
(3) it acquires sample point: using the function of three coordinate measuring machine acquisition surface points, selecting any finished tooth root,
And justify in the conic section of the specified height of drawing, 3 sample points are acquired, each sample point justifies minimum range not away from conic section
Greater than 5mm, if gauge head is interfered when sampling site, each sample point is not more than 3mm away from conic section circle minimum range, is being bored with determination
The measured direction vector located of Gear Root；
(4) acquire surface points: by automatic surface points function, machine is adopted automatically according to the three sample points acquired manually
Collection the smallest surface points (x of cosine error after three sample points are fitted direction vector0,y0, z0)；
(5) sampling site again: according to drawing requirement, measurement point (x is selected0,y0, Z), using measuring machine again automatic sampling site, adopt
Theoretical value is (x after point1,y1, z1), actual value is (x2,y2,z2), the Z is fixed specified cross-section height；
(6) compare: by by collected surface points actual coordinate (x2,y2,z2) with the mathematical point coordinate of drawing requirement
Z axis coordinate value compares, if Z axis coordinate value difference carries out (7) step within 0.005mm；Otherwise, then it is surveyed in three coordinates
By the theoretical coordinate value (x of surface points on amount machine1,y1,z1) be modified, change principle are as follows: x1=x0, y1=y0, Z=(Z-z2)
×2+z1, then repeatedly (5) step, then compare, until Z axis coordinate value difference is within 0.005mm；
(7) surface points coordinate value: final surface points actual coordinate (x is recorded2,y2,z2), and saved and be changed to polar coordinates
(R2,α2,Z)；
(8) sampling site: on the tooth root conical surface with surface points actual coordinate (x2,y2,z2) difference 5mm or more height, directly adopt
Rectangular coordinate system a bit, and is switched to polar coordinate system by collection, and recording the coordinate value is (R1,α1,Z1)；
(9) obtain final result: according to final surface points coordinate, obtain test product specified cross-section circular diameter and
Specified cross-section height；According to the polar coordinates of two o'clock, final cone angle is calculated.
What the present invention utilized is the method put on three-dimensional coordinates measurement machine testing bevel gear root cone curved surface, realizes root cone parameter
Detection because the present invention carry out single-point feature evaluation, compare old measurement method detection speed it is fast, touching survey area it is small
(no probe interference effect), a pair of of tooth is only processed when can be realized between process to be detected, and finished product must be detected by solving
Workpiece and the defect that workpiece is just capable of measuring need to be destroyed.And the application of sample point, and guarantee to touch along surface normal direction and survey, have
The influence of probe radius error is eliminated to effect, keeps measurement result more accurate.
Specific embodiment
A method of detection bevel gear dedendum cone parameter, the method the following steps are included:
(1) it processes: preparing bevel gear to be measured, and by Gear Processing at least in the presence of a complete tooth root；
(2) coordinate system is established: minimum with required three coordinate measuring machine gauge head rotation angle number according to design drawing requirement
It is put for principle, and acquires tested gear basic using three coordinate measuring machine, establish measurement coordinate system；
(3) it acquires sample point: using the function of three coordinate measuring machine acquisition surface points, selecting any finished tooth root,
And justify in the conic section of the specified height of drawing, 3 sample points are acquired, each sample point justifies minimum range not away from conic section
Greater than 5mm, if gauge head is interfered when sampling site, each sample point is not more than 3mm away from conic section circle minimum range, is being bored with determination
The measured direction vector located of Gear Root；
(4) acquire surface points: by automatic surface points function, machine is adopted automatically according to the three sample points acquired manually
Collection the smallest surface points (x of cosine error after three sample points are fitted direction vector0,y0, z0)；
(5) sampling site again: according to drawing requirement, measurement point (x is selected0,y0, Z), using measuring machine again automatic sampling site, adopt
Theoretical value is (x after point1,y1, z1), actual value is (x2,y2,z2), the Z is fixed specified cross-section height；
(6) compare: by by collected surface points actual coordinate (x2,y2,z2) with the mathematical point coordinate of drawing requirement
Z axis coordinate value compares, if Z axis coordinate value difference carries out (7) step within 0.005mm；Otherwise, then it is surveyed in three coordinates
By the theoretical coordinate value (x of surface points on amount machine1,y1,z1) be modified, change principle are as follows: x1=x0, y1=y0, Z=(Z-z2)
×2+z1, then repeatedly (5) step, then compare, until Z axis coordinate value difference is within 0.005mm；
(7) surface points coordinate value: final surface points actual coordinate (x is recorded2,y2,z2), and saved and be changed to polar coordinates
(R2,α2,Z)；
(8) sampling site: on the tooth root conical surface with surface points actual coordinate (x2,y2,z2) difference 5mm or more height, directly adopt
Rectangular coordinate system a bit, and is switched to polar coordinate system by collection, and recording the coordinate value is (R1,α1,Z1)；
(9) obtain final result: according to final surface points coordinate, obtain test product specified cross-section circular diameter and
Specified cross-section height；According to the polar coordinates of two o'clock, final cone angle is calculated.
Embodiment
A kind of aeronautical product conical gear, part are green state.Indicate that specified altitude assignment is 10mm, cone angle on its drawing
69 ° 4 ' 16 ", in measurement when height is 10mm, root vertebra section diameter of a circle φ 225.677mm.It is required that being surveyed to the gear
Amount, obtains final cone angle, specified cross-section circular diameter, specified cross-section height value.
Its specific operating procedure is as follows:
(1) it processes: preparing bevel gear to be measured, and by Gear Processing at least in the presence of a complete tooth root；
(2) coordinate system is established: minimum with required three coordinate measuring machine gauge head rotation angle number according to design drawing requirement
It is put for principle, and acquires tested gear basic using three coordinate measuring machine, establish measurement coordinate system；
(3) it acquires sample point: using the function of three coordinate measuring machine acquisition surface points, selecting any finished tooth root,
And the conic section circle for the height specified in drawing, 3 sample points are acquired, 3 sample points are away from conic section circle minimum range
Maximum value is 3mm, to determine the direction vector measured by bevel gear tooth root；
(4) acquire surface points: by automatic surface points function, machine is adopted automatically according to the three sample points acquired manually
Collection the smallest surface points of cosine error (- 113.1584, -6.8282,9.8295) after three sample points are fitted direction vector；
(5) sampling site again: according to drawing requirement, selection is adopted automatically again in (- 113.1584, -6.8282,10) measuring machine
Point, theoretical value is (- 113.1584, -6.8282,10) after sampling site, and actual value is (- 113.0777, -6.822,9.826).
(6) compare: by wanting collected surface points actual coordinate (- 113.0777, -6.822,9.826) with drawing
The Z axis coordinate value for the mathematical point coordinate (X, Y, Z) asked compares, and Z axis is not much different in 0.005mm, then repeatedly (5) step,
Compare again, by being repeated several times, until the surface points actual coordinate that finally acquires be (- 112.6375, -6.7881,
9.997), the Z axis coordinate value with the mathematical point coordinate (X, Y, Z) of drawing requirement compares, and Z axis difference is 0.003mm, is less than
0.005mm；
(7) surface points coordinate value: recording final surface points actual coordinate (- 112.6375, -6.7881,9.997), and
It is switched to polar coordinates (112.8384,183.4487,9.997)；
(8) sampling site: 8mm is differed with surface points actual coordinate (- 112.6375, -6.7881,9.997) on the tooth root conical surface
Height, rectangular coordinate system a bit, and is switched to polar coordinate system by directly acquisition, record the coordinate value be (105.5917,
181.3441,20.527)；
(9) it obtains final result: according to final surface points coordinate, obtaining the specified cross-section circular diameter of test product
225.6768mm with specified cross-section height 9.997mm；According to the polar coordinates of two o'clock, final cone angle is calculated 69 ° 4 '
16.17 ", measurement terminates.
Claims (1)
1. a kind of method for detecting bevel gear dedendum cone parameter, which is characterized in that the method the following steps are included:
(1) it processes: preparing bevel gear to be measured, and by Gear Processing at least in the presence of a complete tooth root；
(2) it establishes coordinate system: according to design drawing requirement, the minimum original of angle number being rotated with required three coordinate measuring machine gauge head
It then puts, and acquires tested gear basic using three coordinate measuring machine, establish measurement coordinate system；
(3) it acquires sample point: using the function of three coordinate measuring machine acquisition surface points, selecting any finished tooth root, and
The conic section circle of the specified height of drawing, acquires 3 sample points, and each sample point is not more than away from conic section circle minimum range
5mm, if gauge head is interfered when sampling site, each sample point is not more than 3mm away from conic section circle minimum range, to determine in bevel gear
The measured direction vector located of tooth root；
(4) acquire surface points: by automatic surface points function, machine is according to the three sample points acquired manually, automatic collection warp
The smallest surface points (the x of cosine error after three sample point fitting direction vectors0,y0, z0)；
(5) sampling site again: according to drawing requirement, measurement point (x is selected0,y0, Z), using measuring machine again automatic sampling site, after sampling site
Theoretical value is (x1,y1, z1), actual value is (x2,y2,z2), the Z is fixed specified cross-section height；
(6) compare: by by collected surface points actual coordinate (x2,y2,z2) Z axis with the mathematical point coordinate of drawing requirement
Coordinate value compares, if Z axis coordinate value difference carries out (7) step within 0.005mm；Otherwise, then in three coordinate measuring machine
On by the theoretical coordinate value (x of surface points1,y1,z1) be modified, change principle are as follows: x1=x0, y1=y0, Z=(Z-z2)×2+
z1, then repeatedly (5) step, then compare, until Z axis coordinate value difference is within 0.005mm；
(7) surface points coordinate value: final surface points actual coordinate (x is recorded2,y2,z2), and saved and be changed to polar coordinates (R2,
α2,Z)；
(8) sampling site: on the tooth root conical surface with surface points actual coordinate (x2,y2,z2) difference 5mm or more height, directly acquire one
Point, and rectangular coordinate system is switched to polar coordinate system, recording the coordinate value is (R1,α1,Z1)；
(9) it obtains final result: according to final surface points coordinate, obtaining the specified cross-section circular diameter of test product and specify
Depth of section；According to the polar coordinates of two o'clock, final cone angle is calculated.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201811066363.XA CN109238200B (en) | 2018-09-12 | 2018-09-12 | Method for detecting bevel gear root cone parameters |
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| CN201811066363.XA CN109238200B (en) | 2018-09-12 | 2018-09-12 | Method for detecting bevel gear root cone parameters |
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| CN109238200B CN109238200B (en) | 2021-04-27 |
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Cited By (2)
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| CN113798601A (en) * | 2021-09-03 | 2021-12-17 | 中国航发哈尔滨东安发动机有限公司 | Gear root machining method |
| CN114136184A (en) * | 2021-11-29 | 2022-03-04 | 中国航发哈尔滨轴承有限公司 | Bearing ring inner diameter oil guide groove taper and size measuring method and device based on three-coordinate measurement |
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| CN114136184A (en) * | 2021-11-29 | 2022-03-04 | 中国航发哈尔滨轴承有限公司 | Bearing ring inner diameter oil guide groove taper and size measuring method and device based on three-coordinate measurement |
| CN114136184B (en) * | 2021-11-29 | 2024-04-16 | 中国航发哈尔滨轴承有限公司 | Bearing ring inner diameter oil guide groove taper and size measurement method and equipment based on three-coordinate measurement |
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