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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2004 No.1FORM ERROR EVALUATION OF CIRCLES BASED ON A FINELY-DESIGNED GENETIC ALGORITHM

Cui Changcai

 

Che Rensheng

 

Li Zhongyan

 

Ye Dong

Department of Automatic
 Measurement and Control,
Harbin Institute of Technology,
 Harbin 150001, China 

 

 

FORM ERROR EVALUATION OF CIRCLES BASED ON A FINELY-
DESIGNED GENETIC ALGORITHM*

 

Abstract: A genetic algorithm(GA)-based new method is designed to evaluate the circularity error of mechanical parts. The method uses the capability of nonlinear optimization of GA to search for the optimal solution of circularity error. The finely-designed GA (FDGA) characterized dynamical bisexual recombination and Gaussian mutation. The mathematical model of the nonlinear problem is given. The implementation details in FDGA are described such as the crossover or re-combination mechanism which utilized a bisexual reproduction scheme and the elitist reservation method; and the adaptive mutation which used the Gaussian probability distribution to determine the values of the offspring produced by mutation mechanism. The examples are provided to verify the designed FDGA. The computation results indicate that the FDGA works very well in the field of form error evaluation such as circularity evaluation.

Key words: Genetic algorithm(GA)  Form error  Circularity  Bisexual recombination  Gaussian mutation

 


* The project is supported by National Natural Science Foundation of China (No.59975025). Received July 30, 2002; received in revised form November 21, 2002; accepted January 7, 2003

 

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