基于遗传算法的凸轮升程误差修正
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摘要
为进一步提高凸轮磨削加工精度,针对凸轮磨削产生的升程误差进行研究,采用遗传算法对凸轮升程误差进行修正。实测凸轮升程值通过C市第一机床厂提供的软件调整相位误差,将凸轮升程误差与升程值通过小波变换获得二阶差商光顺值。最后以凸轮升程曲线二阶差商光顺值为目标,利用遗传算法对凸轮升程误差进行修正。实验仿真表明,该方法可以获得光顺的凸轮升程值。
In order to improve the accuracy of the cam grinding process,the lift error of cam grinding is studied.Genetic algorithm is used to correct the cam lift error. The measured cam lift value is adjusted by the software provided by the first machine tool plant in C city. The cam lift error and the theoretical cam lift value are taken as inputs,and the two order difference values are obtained by wavelet transform. The smooth two order difference of cam lift value is taken as the objective,and the genetic algorithm is used to correct the cam lift error. The simulation experiments show that this method can obtain a smooth cam lift values.
In order to improve the accuracy of the cam grinding process,the lift error of cam grinding is studied.Genetic algorithm is used to correct the cam lift error. The measured cam lift value is adjusted by the software provided by the first machine tool plant in C city. The cam lift error and the theoretical cam lift value are taken as inputs,and the two order difference values are obtained by wavelet transform. The smooth two order difference of cam lift value is taken as the objective,and the genetic algorithm is used to correct the cam lift error. The simulation experiments show that this method can obtain a smooth cam lift values.
引文
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[11]戴霞,彭国华,叶正麟,等.一种基于拟合二阶导数曲线的光顺算法[J].计算机工程与应用,2005,41(33):86-90.DAI Xia,PENG Guohua,YE Zhenglin,et al.A Smoothing Algorithm Based on Fitting Second Derivative Curve[J].Computer Engineering and Applications,2005,41(33):86-90.
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[14]玄光男,程润伟.遗传算法与工程优化[M].北京:清华大学出版社,2004.XUAN Guangnan,CHENG Runwei.Genetic Algorithm and Engineering Optimization[M].Beijing:Tsinghua University Press,2004.
[15]YOSHIMOTO F,HARADA T,YOSHIMOTO Y.Data Fitting with a Spline Using a Real-Coded Genetic Algorithm[J].Computer-Aided Design,2003,35(8):751-760.
[2]唐浩,邓朝晖,万林林,等.基于交替隔点插值的凸轮升程拟合方法在磨削加工中的应用[J].机械工程学报,2012,48(23):191-198.TANG Hao,DENG Zhaohui,WAN Linlin,et al.Application of Cam Upward Fitting Method Based on Alternating Partition Interpolation in Grinding[J].Chinese Journal of Mechanical Engineering,2012,48(23):191-198.
[3]WATTS H G,HUNTER M R,THOMPSON R E.Method for Generating Axis Control Data for Use in Controlling Grinding Machine and the Like and System Therefor[P].US:US4791575,1988.
[4]WANG W,ZHANG Y.Wavelets-Based NURBS Simplification and Fairing[J].Computer Methods in Applied Mechanics&Engineering,2010,199(5/8):290-300.
[5]张力宁,张定华,刘元朋,等.基于曲率图小波分解的平面曲线光顺方法[J].计算机应用研究,2005,22(11):250-252.ZHANG Lining,ZHANG Dinghua,LIU Yuanpeng,et al.High Curve Smoothing Method Based on Wavelet Decomposition of Curvature Chart[J].Application Research of Computers,2005,22(11):250-252.
[6]王洪,戴瑜兴,谭彦杰,等.基于加权支持向量机的凸轮升程误差拟合方法[J].计算机工程与科学,2016,38(5):1057-1065.WANG Hong,DAI Yuxing,TAN Yanjie,et al.Method of Cam Lift Error Fitting Based on Weighted Support Vector Machine[J].Computer Engineering and Science,2016,38(5):1057-1065.
[7]YANG L,HONG Y.Adaptive Penalized Splines for Data Smoothing[J].Computational Statistics&Data Analysis,2017,108(1):70-83.
[8]ZHANG X H,DENG Z H,AN W K,et al.A Methodology for Contour Error Intelligent Precompensation in Cam Grinding[J].The International Journal of Advanced Manufacturing Technology,2013,64(1):165-170.
[9]黄强.凸轮轴数控高速磨削加工误差在位测量及补偿关键技术研究[D].长沙:湖南科技大学机电工程学院,2014.HUANG Qiang.Camshaft NC High-Speed Grinding Error in Situ Measurement and Compensation of Key Technology Research[D].Changsha:College of Mechanical and Electrical Engineering,Hunan University of Science and Technology,2014.
[10]郭盟.凸轮磨削的建模与控制[D].长春:吉林大学通信工程学院,2012.GUO Meng.Cam Grinding Modeling and Control[D].Changchun:College of Communications Engineering,Jilin University,2012.
[11]戴霞,彭国华,叶正麟,等.一种基于拟合二阶导数曲线的光顺算法[J].计算机工程与应用,2005,41(33):86-90.DAI Xia,PENG Guohua,YE Zhenglin,et al.A Smoothing Algorithm Based on Fitting Second Derivative Curve[J].Computer Engineering and Applications,2005,41(33):86-90.
[12]杨建国.小波分析及其工程应用[M].北京:机械工业出版社,2005.YANG Jianguo.Wavelet Analysis and Its Engineering Application[M].Beijing:Machinery Industry Press,2005.
[13]GARCIA-CAPULIN C H,CUEVAS F J,TREJO-CABALLERO G,et al.A Hierarchical Genetic Algorithm Approach for Curve Fitting with B-Splines[J].Genetic Programming and Evolvable Machines,2015,16(2):151-166.
[14]玄光男,程润伟.遗传算法与工程优化[M].北京:清华大学出版社,2004.XUAN Guangnan,CHENG Runwei.Genetic Algorithm and Engineering Optimization[M].Beijing:Tsinghua University Press,2004.
[15]YOSHIMOTO F,HARADA T,YOSHIMOTO Y.Data Fitting with a Spline Using a Real-Coded Genetic Algorithm[J].Computer-Aided Design,2003,35(8):751-760.