Acta Metrologica Sinica  2015, Vol. 36 Issue (2): 123-127    DOI: 10.3969/j.issn.1000-1158.2015.02.03
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Application of Differential Evolutionary Algorithm for Evaluation of Roundness Error
WANG Dong-xia1,2,SONG Ai-guo1,WEN Xiu-lan2
1.School of Instrument Science & Engineering, Southeast University, Nanjing, Jiangsu 210096, China;
2.Automation Department, Nanjing Institute of Technology, Nanjing, Jiangsu 211167, China
 
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Abstract  In order to compute roundness error accurately and rapidly, the minimum zone roundness error based on a differential evolution intelligent optimization algorithm is proposed. The fundamental principle of differential evolution algorithm and implementation steps of population initialization, mutation, crossover and selection of this algorithm are introduced. Then, the mathematical model for using the differential evolution to solve the minimum zone roundness error is formulated. In order to validate the effectiveness of the algorithm, many experiments have been conducted and comparisons with other algorithms have been made. The results verify that the errors computed by the proposed method are not only less than that of the least square method and the standard genetic algorithm, but also the computation result is stable and the speed is rapid. The experimental indicated that the differential evolution for evaluating the minimum zone roundness error has very strong self-adaptive ability, better global convergence and high stability and it is suitable for rapid evaluation of high precision roundness error.
Key words： Metrology      Circularity error evaluation      Differential evolutionary      Intelligent calculation      Minimum zone circle     
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WANG Dong-xia
SONG Ai-guo
WEN Xiu-lan
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WANG Dong-xia,SONG Ai-guo,WEN Xiu-lan. Application of Differential Evolutionary Algorithm for Evaluation of Roundness Error[J]. Acta Metrologica Sinica, 2015, 36(2): 123-127.
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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2015.02.03     OR     http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2015/V36/I2/123
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