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双面抛光运动的数学建模及轨迹优化
引用本文:张彦,李军,朱永伟,高平,李标,蒋毕亮,左敦稳.双面抛光运动的数学建模及轨迹优化[J].光学技术,2011,37(3):279-283.
作者姓名:张彦  李军  朱永伟  高平  李标  蒋毕亮  左敦稳
作者单位:南京航空航天大学机电学院,南京,210016
基金项目:国家自然基金项目资助(50905086);中国博士后基金项目资助(200904501095);江苏省自然基金项目资助(BK2010512);南京航空航天大学基本科研业务费专项科研项目资助(NS2010127)
摘    要:双面抛光运动过程复杂,对光学材料的加工有重要的影响,运动轨迹分布不但影响加工效率,而且影响加工工件的表面质量.通过分析双面抛光加工的运动过程,建立双面抛光中任意一点相对于上抛光盘的运动轨迹的数学模型,改变数学模型中的轨迹运动参数,观察不同参数值对抛光轨迹分布的影响,优化分析得出抛光轨迹分布最佳的运动参数值.研究结果表明...

关 键 词:光学材料  双面抛光  数学建模  轨迹优化

Mathematical modeling and trajectory optimization of double-sided polishing process
ZHANG Yan , LI Jun , ZHU Yongwei , GAO Ping , LI Biao , JIANG Biliang , ZUO Dunwen.Mathematical modeling and trajectory optimization of double-sided polishing process[J].Optical Technique,2011,37(3):279-283.
Authors:ZHANG Yan  LI Jun  ZHU Yongwei  GAO Ping  LI Biao  JIANG Biliang  ZUO Dunwen
Institution:(College of Mechanical and Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)
Abstract:The trajectory of double-sided polishing is very complicated and has an important influence on the polishing process of the optical materials.The trajectory affects not only the processing efficiency,but also the surface quality.The movement of double-sided polishing process is discussed,and the mathematical model of the trajectory is established,which refers to any point of the planetary gear relative to the pad.By changing the parameters of the equation,the distribution of trajectories and the effect of different parameters are observed,and finally the optimal parameters of the trajectory are obtained.As the results shown,when the workpiece in the planetary gear keeps away from the center of planets,the radius ratio between planetary gear and top plate is 0.3,and the relative speed range between top plate and sun gear is 3~8,and the speed ratio range between ring gear and sun gear is in the time 1~4,the optimal trajectory is obtained.
Keywords:optical materials  double-sided polishing  mathematical model  trajectory optimization
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