CN112362003A - Method for realizing accurate expression of assembly characteristics of rotary part - Google Patents

Method for realizing accurate expression of assembly characteristics of rotary part Download PDF

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Publication number
CN112362003A
CN112362003A CN202011103249.7A CN202011103249A CN112362003A CN 112362003 A CN112362003 A CN 112362003A CN 202011103249 A CN202011103249 A CN 202011103249A CN 112362003 A CN112362003 A CN 112362003A
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assembly
transformation matrix
establishing
reference plane
plane
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孙清超
李明华
汪云龙
刘亮
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Dalian University of Technology
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Dalian University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/20Measuring 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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  • General Physics & Mathematics (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)

Abstract

The invention belongs to the technical field of precision assembly, and provides a method for realizing precise expression of assembly characteristics of a rotary part, which comprises the following steps: establishing an actual rotation axis and a reference plane of the revolving body part; establishing an assembly characteristic transformation matrix; and eliminating the reference error. Aiming at the phenomenon of reference misalignment existing in the process of measuring the assembly characteristics of the rotary parts, the invention establishes a method for determining the true transformation matrix of the assembly characteristics of the upper bottom surface and the lower bottom surface, and eliminates the influence of the reference misalignment, thereby realizing the accurate expression of the assembly characteristics of the parts.

Description

Method for realizing accurate expression of assembly characteristics of rotary part
Technical Field
The invention relates to a method for realizing accurate expression of assembly characteristics of a rotary part, and belongs to the technical field of precision assembly.
Background
An aircraft engine, as an "pearl on an industrial crown", is a typical high-precision technical product. The rotor serves as a core component of an aircraft engine, and the assembly technology of the rotor is always the focus of the research field of the aircraft engine.
The rotor generally adopts the technical means of manufacturing in grades and stacking assembly, and the structure of the rotor is mostly a rotary symmetrical part, so the measurement of the circular profile is mostly carried out based on a precise rotary table. The accurate description of the assembly characteristics of the single-stage rotor parts is always taken as the key point in the aircraft rotor assembly research, because the multi-stage rotor assembly can be guided only after the accurate description of the assembly characteristics of the single-stage rotor parts is obtained.
Aiming at the problem that the assembly characteristics of a single-stage rotor part are difficult to accurately express, the invention provides a method for establishing a true assembly characteristic transformation matrix of the upper surface and the lower surface of the rotor part by eliminating a reference error, so that the accurate expression of the assembly characteristics is realized, and technical support is provided for the precise assembly of a multi-stage rotor.
Disclosure of Invention
The method for realizing accurate expression of the assembly characteristics of the parts is provided, the circular profiles of the rotary symmetric parts based on a precise rotary table are measured, a transformation matrix of the lower bottom surface characteristics and the upper bottom surface characteristics about a reference plane is established through test data, further, the reference error is eliminated by introducing an inverse matrix of the lower bottom surface characteristics, and a real transformation matrix of the upper bottom surface and the lower bottom surface is established to realize accurate expression of the assembly characteristics.
The technical scheme of the invention is as follows:
a method for realizing accurate expression of assembly characteristics of a rotary part comprises the following steps:
step (1), establishing the concept of the actual rotation axis and the reference plane of the revolving body part
Taking a straight line which passes through the center of the bottom surface of the part and is perpendicular to the bottom surface as an actual rotation axis of the part, and taking the actual rotation axis as an evaluation reference; the upper surface of the turntable is used as a reference plane.
Step (2) establishing an assembly characteristic transformation matrix
And establishing a transformation matrix of the upper assembly surface and the lower assembly surface of the part relative to the reference plane according to the actually measured circular profile data of the part and the theory of the transformation matrix.
Step (3) eliminating the reference error
Because the existence of part machining error and placement error in the part testing process, the measuring reference axis is not superposed with the actual rotation axis, so the concept of introducing the inverse matrix of the transformation matrix explains how to eliminate the reference error, and further establishes the real transformation matrix of the upper and lower assembly surfaces of the part.
The invention has the beneficial effects that: aiming at the phenomenon of reference misalignment existing in the process of measuring the assembly characteristics of the rotary parts, the invention establishes a method for determining the true transformation matrix of the assembly characteristics of the upper bottom surface and the lower bottom surface, and eliminates the influence of the reference misalignment, thereby realizing the accurate expression of the assembly characteristics of the parts.
Drawings
FIG. 1 is a flow chart of the present invention.
FIG. 2 is a diagram of transformation matrices and actual axis of rotation definitions.
Fig. 3 shows the assembly characteristic transformation diagram (Trot (x, y, z), Ttrans (x, y, z) respectively representing the rotation and translation of the bottom surface to the top surface.
Detailed Description
The invention will be further described below by taking a cylindrical part as an example and combining the drawings.
Step one, establishing a transformation matrix of an assembly surface relative to a reference plane
And fitting the radial run-out and end run-out data based on a least square method By considering the eccentric error of rotor installation to obtain a fitting circle center (dx, dy) and a fitting plane Ax + By + Cz + D which is 0. (dx, dy) is an eccentric coordinate, d θx-B/C is the angle of rotation of the fitting plane about the x-axis relative to the reference plane, d θyAnd A/C is the rotation angle of the fitting plane relative to the reference plane around the y axis, and the rotation direction follows the right-hand spiral rule. Wherein, OEIs the origin of a reference coordinate system, O0Is the center of the lower bottom surface of the rotor, O1The center of the upper bottom surface of the rotor, E represents a reference surface, 0 represents a lower bottom surface, and 1 represents an upper bottom surface, as shown in FIG. 2. The transformation matrix from E to 0 is TE-0Transformation matrix from E to 1 as TE-1
Wherein the content of the first and second substances,
Figure RE-GDA0002853143360000031
eliminating the reference error and establishing a true transformation matrix of the upper assembly surface and the lower assembly surface
And (3) obtaining a transformation matrix of the upper assembly surface and the lower assembly surface relative to the reference plane through the step one, but obtaining the transformation matrix between the upper bottom surface and the lower bottom surface through inverse transformation of the feature matrix due to arrangement errors in the part testing process.
Namely, the assembly characteristic transformation matrix T from 0 to 1 is established0-1=T-1 E-0*TE-1Thus, the reference error is eliminated, and the goal of accurately expressing the assembly features is achieved, as shown in fig. 3.

Claims (1)

1. A method for realizing accurate expression of assembly characteristics of a rotary part is characterized by comprising the following steps:
step (1), establishing an actual rotation axis and a reference plane of the revolving body part
Taking a straight line which passes through the center of the bottom surface of the part and is perpendicular to the bottom surface as an actual rotation axis of the part, and taking the actual rotation axis as an evaluation reference; taking the upper surface of the rotary table as a reference plane;
step (2) establishing an assembly characteristic transformation matrix
Establishing a transformation matrix of an upper assembly surface and a lower assembly surface of the part relative to a reference plane according to actually measured circular profile data of the part and a transformation matrix theory;
step (3) eliminating the reference error
Because of the existence of part processing errors and installation errors in the part testing process, the measuring reference axis is not superposed with the actual rotation axis, so that the reference error is eliminated by obtaining a transformation matrix between an upper bottom surface and a lower bottom surface through inverse transformation of a characteristic matrix, and a real transformation matrix of an upper assembly surface and a lower assembly surface of the part is established; namely, the assembly characteristic transformation matrix T from 0 to 1 is established0-1=T-1 E-0*TE-1Therefore, the reference error is eliminated, and the aim of accurately expressing the assembly characteristics is fulfilled;
Figure FDA0002726110380000011
wherein, (dx, dy) is fitted circle eccentric coordinate, d θxTo fit the angle of rotation of the plane about the x-axis relative to the reference plane, doyI.e. the angle of rotation of the fitting plane about the y-axis relative to the reference plane, the direction of rotation follows the right-handed screw criterion.
CN202011103249.7A 2020-10-15 2020-10-15 Method for realizing accurate expression of assembly characteristics of rotary part Withdrawn CN112362003A (en)

Priority Applications (1)

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CN202011103249.7A CN112362003A (en) 2020-10-15 2020-10-15 Method for realizing accurate expression of assembly characteristics of rotary part

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Application Number Priority Date Filing Date Title
CN202011103249.7A CN112362003A (en) 2020-10-15 2020-10-15 Method for realizing accurate expression of assembly characteristics of rotary part

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Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS60205311A (en) * 1984-03-30 1985-10-16 Mitsubishi Electric Corp Three-dimensional coordinate measuring method
US20110238199A1 (en) * 2008-12-05 2011-09-29 Tenaris Connections Limited Measurement method and device for thread parameters
CN103148828A (en) * 2013-03-08 2013-06-12 北京工业大学 Measurement method of large gear free of installation and regulation
CN105423876A (en) * 2015-10-15 2016-03-23 哈尔滨工业大学 Assembling measuring method and apparatus of large-scale high-speed revolution equipment based on tolerance regulation and control
CN110530306A (en) * 2019-08-27 2019-12-03 大连理工大学 A kind of typical revolving parts characterizing method based on actual measurement bounce data
CN111536929A (en) * 2020-05-21 2020-08-14 中国第一汽车股份有限公司 Method for detecting angle of small circular hole of thin-wall part of revolving body

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS60205311A (en) * 1984-03-30 1985-10-16 Mitsubishi Electric Corp Three-dimensional coordinate measuring method
US20110238199A1 (en) * 2008-12-05 2011-09-29 Tenaris Connections Limited Measurement method and device for thread parameters
CN103148828A (en) * 2013-03-08 2013-06-12 北京工业大学 Measurement method of large gear free of installation and regulation
CN105423876A (en) * 2015-10-15 2016-03-23 哈尔滨工业大学 Assembling measuring method and apparatus of large-scale high-speed revolution equipment based on tolerance regulation and control
CN110530306A (en) * 2019-08-27 2019-12-03 大连理工大学 A kind of typical revolving parts characterizing method based on actual measurement bounce data
CN111536929A (en) * 2020-05-21 2020-08-14 中国第一汽车股份有限公司 Method for detecting angle of small circular hole of thin-wall part of revolving body

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Application publication date: 20210212