二次插值鲸鱼优化算法在圆柱度误差评定中的应用
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摘要
为了进一步提高圆柱度误差评定的精度和计算收敛速度,以国际标准中的最小区域原则为准,建立并求解圆柱度误差的测量模型,在标准鲸鱼优化算法的基础上,对其进行改进,设计一种二次插值鲸鱼优化算法,最后,通过圆柱度测量数据,对算法进行仿真和测试,证明算法在圆柱度误差的评定精度和收敛速度上有了进一步的提高。
In order to further improve the accuracy of cylindricity error evaluation and calculation convergence speed under the minimum zone method in the international standard. Through the basis of the whale optimization algorithm,a quadratic interpolation whale optimization algorithm is designed to solve the mathematical model of cylindricity error. Finally,through the cylindricity measurement data to simulatie and test the algorithm,and it proves that the evaluation of the cylindricity error precision and convergence speed are further improved.
In order to further improve the accuracy of cylindricity error evaluation and calculation convergence speed under the minimum zone method in the international standard. Through the basis of the whale optimization algorithm,a quadratic interpolation whale optimization algorithm is designed to solve the mathematical model of cylindricity error. Finally,through the cylindricity measurement data to simulatie and test the algorithm,and it proves that the evaluation of the cylindricity error precision and convergence speed are further improved.
引文
[1]温秀兰,宋爱国.基于改进遗传算法评定圆柱度误差[J].计量学报,2004(02):115~118.
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[3]丁凤琴,薛国芳,雷贤卿.圆柱度误差的网格搜索算法[J].制造技术与机床,2010(10):94~97.
[4]何改云,刘佩佩,王凯.基于序列二次规划算法的圆柱度误差评定方法[J].机械科学与技术,2014,33(12):1845~1849.
[5]车林仙,易建,何兵,等.应用自适应混沌差分进化算法评定圆柱度误差[J].组合机床与自动化加工技术,2016(6):16~20.
[6]Mirjalili S,Lewis A. The Whale Optimization Algorithm[J].Advances in Engineering Software,2016,95:51~67.
[7]叶明,唐敦兵.最小二乘与鱼群混合优化方法评定直线度误差的研究[J].机械科学与技术,2014,33(7):1013~1017.
[8]姚健.群搜索算法与二次插值法的混合算法及其应用研究[D].太原科技大学,2010.
[9]K. Carr and P. Ferreira. Verification of form tolerances part II:Cylindricity and straightness of a median line[J]. Precision Engineering.144~156,1995.
[10]S.-Y. Chou and C.-W. Sun. Assessing cylindricity for ob-lique cylindrical features[J]. International Journal of Machine Tools&Manufacture,327~341,2000.
[11]X.-L. Wen,A.-G. Song. An improved genetic algorithmfor planar and spatial straightness error evaluation[J]. International Jour-nal of Machine Tools&Manufacture,1157~1162,2003.
[2]茅健,郑华文,曹衍龙,徐旭松.基于粒子群算法的圆柱度误差评定方法[J].农业机械学报,2007(02):146~149.
[3]丁凤琴,薛国芳,雷贤卿.圆柱度误差的网格搜索算法[J].制造技术与机床,2010(10):94~97.
[4]何改云,刘佩佩,王凯.基于序列二次规划算法的圆柱度误差评定方法[J].机械科学与技术,2014,33(12):1845~1849.
[5]车林仙,易建,何兵,等.应用自适应混沌差分进化算法评定圆柱度误差[J].组合机床与自动化加工技术,2016(6):16~20.
[6]Mirjalili S,Lewis A. The Whale Optimization Algorithm[J].Advances in Engineering Software,2016,95:51~67.
[7]叶明,唐敦兵.最小二乘与鱼群混合优化方法评定直线度误差的研究[J].机械科学与技术,2014,33(7):1013~1017.
[8]姚健.群搜索算法与二次插值法的混合算法及其应用研究[D].太原科技大学,2010.
[9]K. Carr and P. Ferreira. Verification of form tolerances part II:Cylindricity and straightness of a median line[J]. Precision Engineering.144~156,1995.
[10]S.-Y. Chou and C.-W. Sun. Assessing cylindricity for ob-lique cylindrical features[J]. International Journal of Machine Tools&Manufacture,327~341,2000.
[11]X.-L. Wen,A.-G. Song. An improved genetic algorithmfor planar and spatial straightness error evaluation[J]. International Jour-nal of Machine Tools&Manufacture,1157~1162,2003.