Sphericity error evaluation using the genetic algorithm

CUI Chang-cai; CHE Ren-sheng; YE Dong; HUANG Qing-cheng

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Sphericity error evaluation using the genetic algorithm

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- Sphericity error evaluation using the genetic algorithm
- Optics and Precision Engineering Vol. 10, Issue 4, Pages: 333-339(2002)
- 作者机构：
  
  哈尔滨工业大学, 自动化测试与控制系,黑龙江哈尔滨,150001
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH166
- Received：14 January 2002，
  
  Revised：20 May 2002，
  
  Published Online：15 August 2002，
  
  Published：15 August 2002
- 稿件说明：
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崔长彩, 车仁生, 叶东, 黄庆成. 基于遗传算法的球度误差评定[J]. 光学精密工程, 2002,(4): 333-339

CUI Chang-cai, CHE Ren-sheng, YE Dong, HUANG Qing-cheng. Sphericity error evaluation using the genetic algorithm[J]. Editorial Office of Optics and Precision Engineering, 2002,(4): 333-339
崔长彩, 车仁生, 叶东, 黄庆成. 基于遗传算法的球度误差评定[J]. 光学精密工程, 2002,(4): 333-339 DOI：

CUI Chang-cai, CHE Ren-sheng, YE Dong, HUANG Qing-cheng. Sphericity error evaluation using the genetic algorithm[J]. Editorial Office of Optics and Precision Engineering, 2002,(4): 333-339 DOI：

摘要

首先对球度公差评定问题进行了综述.然后根据圆度公差的数学定义

引申提出球度公差最小区域条件下的评定模型

并给出遗传算法的适应度函数.随后给出算法实现中的中的关键问题.最后用实例对算法进行了检验

计算结果表明基于遗传算法的球度误差优化算法不仅符合最小区域的条件

而且易于理解和实现

能够获得全局最优解

保证了高精度、高效率.

Abstract

To evaluate the form error of a sphere

a novel method based on the genetic algorithm was devised. In the paper

the problem about sphericity error is reviewed firstly. Secondly

the mathematical model of the sphericity error under the condition of minimum zone is derived from the mathematical definition of the circularity

and the fitness function of the algorithm is given as well. Thirdly

the critical such as selecting the initial value

initialing the population

and deciding genetic operators

etc. in the process of the algorithm implementation are described in detail. Finally

the method is verified by the examples in the literatures 1 and 2. The theoretical analysis and computation results indicate that the designed method not only conforms to the minimum zone condition but also assures a global solution

and is easily implemented. It is accurate and efficient in solving the problem of dimensional and tolerance evaluation.

关键词

Keywords

references

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Xu X Y,Yan G Zh.G enetic algor ithm and its application in robo t contr ol[J].Op tics and p r ecision engineer ing,2001,9 (4):334_338.

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