An Optimal Guided Adaptive Search Method for Sphericity Evaluation of Minimum Area

A technology of minimum area and search method, applied in complex mathematical operations and other directions, can solve the problems of high efficiency and high precision of sphericity calculation, time-consuming evaluation process of sphericity error, complicated implementation process, etc. Optimal solution, improved efficiency and convergence speed, the effect of a wide range of applications

Active Publication Date: 2020-02-07
HARBIN INST OF TECH
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  • Application Information

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Problems solved by technology

However, the implementation process of these two sphericity error evaluation methods is complicated, the amount of calculation is large, and the sphericity error evaluation process takes a long time
[0006] The common problem existing in the above-mentioned prior art is that it cannot meet the requirements of high efficiency and high precision of sphericity calculation at the same time

Method used

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  • An Optimal Guided Adaptive Search Method for Sphericity Evaluation of Minimum Area
  • An Optimal Guided Adaptive Search Method for Sphericity Evaluation of Minimum Area
  • An Optimal Guided Adaptive Search Method for Sphericity Evaluation of Minimum Area

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Embodiment Construction

[0040] Embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0041] Such as figure 1 As shown, the optimally guided adaptive search method for the evaluation of the minimum area sphericity includes the following steps:

[0042] Step 1) Read the measurement data of all sampling points, and use a set of measurement data in Document 2 as the experimental data, as shown in the following table:

[0043] Table 1 Measuring point coordinates (unit: mm)

[0044]

[0045]

[0046] Step 2) Calculate the least square center of the sphere (a 0 , b 0 , c 0 ), least squares spherical radius R 0 and the least squares sphericity S ph0 ; Among them, the least square center of the sphere (a 0 , b 0 , c 0 ) and the least squares spherical radius R 0 It is obtained by solving the following equation:

[0047]

[0048] Least squares sphericity S ph0 It is obtained by the following formula:

[0049]

[0050] Th...

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Abstract

The invention provides an optimal oriented adaptive search method for minimum area sphericity evaluation, and belongs to the technical field of precision measurement and instrument. The method comprises the following steps: firstly, taking the least square center calculated according to measurement data as the center, taking a cube with two times of least square sphericity as the edge length as asearch range and a variable boundary, adopting a spatial orientation contraction method to contract the search range along x-axis, y-axis, and z-axis directions to obtain a distribution range of initial solutions; randomly generating a group of initial solutions in the range, and calculating an objective function value and an optimal solution position corresponding to each solution; carrying out search position updating by utilizing the optimal oriented adaptive search method, and obtaining a current optimal solution; and repeating the iteration process until the set precision or the maximum number of iterations is reached, obtaining the global optimum position and the corresponding sphericity as a minimum area sphericity error evaluation result. The method provided by the invention achieves the efficient global optimization sphericity error evaluation.

Description

technical field [0001] The invention belongs to the technical field of precision measurement and instruments, and in particular relates to an optimally oriented self-adaptive search method for evaluating the minimum area sphericity. Background technique [0002] Ultra-precision machining technology has become the key technology of national defense industry and precision equipment manufacturing industry. With the development of precision machining technology, the application range of high-precision spherical components is becoming wider and wider, and the precision requirements for spherical workpieces are also increasing. For spherical workpieces, the sphericity error is usually used as an important technical indicator of its processing quality. Therefore, the calculation method of sphericity error has very important theoretical significance and application value. [0003] Patent CN103278126A "A Method for Evaluating the Sphericity Error of Parts Based on the Minimum Area"...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/11G06F17/16
CPCG06F17/11G06F17/16
Inventor 黄景志姜琳谭久彬
Owner HARBIN INST OF TECH
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