基于叶序理论的圆柱度误差检测技术研究
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摘要
提出了一种基于叶序理论圆柱测量的布点新方法,基于MATLAB对加工圆柱面进行仿真建模,并应用叶序理论对其进行叶序布点,在仿真模型上提取到叶序布点直角坐标;基于最小二乘法构建了求解空间五自由度圆柱度参数的算法,利用MATLAB开发出基于直角坐标的圆柱度评价系统,利用提取到的检测点坐标对加工圆柱面误差进行评价。评价系统的分析结果证明了叶序布点在圆柱度评价中的有效性。
A new method that the phyllotaxis theory is applied in NC machining cylinder detection point layout is proposed. We use M ATLAB to simulate model of the detected cylinder,lay detection points on the established simulation model of NC machining cylinder on the basis of the phyllotaxis theory of cylinder,and extract coordinate values of all the detection points w ith M ATLAB,then an algorithm to solve the parameters of five freedom mathematic model of cylinder w ith the least square method is described. The cylindricity evaluation system is developed based on the rectangular coordinates w ith M ATLAB. Bring coordinate values of all the detection points into the cylindricity evaluation system. Through the analysis of the data results of phyllotaxis distribution method,proved the validity of the phyllotaxis distribution method in the detection of processing cylinder.
A new method that the phyllotaxis theory is applied in NC machining cylinder detection point layout is proposed. We use M ATLAB to simulate model of the detected cylinder,lay detection points on the established simulation model of NC machining cylinder on the basis of the phyllotaxis theory of cylinder,and extract coordinate values of all the detection points w ith M ATLAB,then an algorithm to solve the parameters of five freedom mathematic model of cylinder w ith the least square method is described. The cylindricity evaluation system is developed based on the rectangular coordinates w ith M ATLAB. Bring coordinate values of all the detection points into the cylindricity evaluation system. Through the analysis of the data results of phyllotaxis distribution method,proved the validity of the phyllotaxis distribution method in the detection of processing cylinder.
引文
[1]Xiao-ming Qian,Pei-huang Lou,Guang-xia Bei.Research on Cylindricity Error Calculation Based on Improved GA[A].Proceedings of the Third Asia International Symposium on Mechatronics[C].2008.
[2]郑鹏,张琳娜,陈明仪.现行圆柱度测量方法分析及采样方案新策略[J].机械强度,2011,33(1):152-158.
[3]茅健,郑华文,曹衍龙,等.基于粒子群算法的圆柱度误差评定方法[J].农业机械学报,2007,38(2):146-149.
[4]Keun Lee,Sohyung Cho,Shihab Asfour.Web-based algorithm for cylindricity evaluation using support vector machine learning[J].Computers&Industrial Engineering,2011,60:228-235.
[5]贺艳.磨粒叶序排布外圆砂轮的制备及其磨削机里的若干研究[D].沈阳:沈阳理工大学,2011.
[6]Van Iterson G.Mathematische und mikroskopish-anatomische Studien iiuber Blattstellungen.Gustav Fischer,Jena,1907.
[7]陈永鹏.基于MATLAB的圆柱度评定方法[J].机械制造,2003,41(763):50-51.
[8]邱绪云.圆柱基本参数的三坐标测量方法[J].山东理工大学学报,2003,17(2):56-58.
[9]杨柳,陈艳萍.求解非线性方程组的一种新的全局收敛的Levenberg-Marquardt算法术[J].计算数学,2008,30(4):388-396.
[10]Ma Changing,Jiang Lihua.Some research on LevenbergMarquardt method for the nonlinearequations[J].Applied Mathematics and Computation,2007,184:1032-1040.
[11]贝广霞,楼佩煌等.精密加工中圆柱度在机检测关键技术[J].山东大学学报,2007,37(5):65-67.
[2]郑鹏,张琳娜,陈明仪.现行圆柱度测量方法分析及采样方案新策略[J].机械强度,2011,33(1):152-158.
[3]茅健,郑华文,曹衍龙,等.基于粒子群算法的圆柱度误差评定方法[J].农业机械学报,2007,38(2):146-149.
[4]Keun Lee,Sohyung Cho,Shihab Asfour.Web-based algorithm for cylindricity evaluation using support vector machine learning[J].Computers&Industrial Engineering,2011,60:228-235.
[5]贺艳.磨粒叶序排布外圆砂轮的制备及其磨削机里的若干研究[D].沈阳:沈阳理工大学,2011.
[6]Van Iterson G.Mathematische und mikroskopish-anatomische Studien iiuber Blattstellungen.Gustav Fischer,Jena,1907.
[7]陈永鹏.基于MATLAB的圆柱度评定方法[J].机械制造,2003,41(763):50-51.
[8]邱绪云.圆柱基本参数的三坐标测量方法[J].山东理工大学学报,2003,17(2):56-58.
[9]杨柳,陈艳萍.求解非线性方程组的一种新的全局收敛的Levenberg-Marquardt算法术[J].计算数学,2008,30(4):388-396.
[10]Ma Changing,Jiang Lihua.Some research on LevenbergMarquardt method for the nonlinearequations[J].Applied Mathematics and Computation,2007,184:1032-1040.
[11]贝广霞,楼佩煌等.精密加工中圆柱度在机检测关键技术[J].山东大学学报,2007,37(5):65-67.