评价圆锥度误差的自适应方法  

An adaptive method for evaluation of cone error

作　　者：刘宝庆[1] 董惠敏[1] 符杰[1] 

机构地区：[1]大连理工大学机械工程学院,辽宁大连116024

出　　处：《大连理工大学学报》2011年第2期200-204,共5页Journal of Dalian University of Technology

基　　金："八六三"国家高科技发展计划资助项目(2006AA04Z101);国家自然科学基金资助项目(50975038)

摘　　要：借鉴鞍点规划的思想,依据最小条件原则和自适应拟合方法建立了圆锥度误差的数学评定模型;采用序列二次规划的方法求解自适应圆锥优化问题.对于这个复杂的鞍点规划问题,全局最优解的获得依赖较好的初始点,通过分析测量模型与理想圆锥模型之间的几何关系,采用多步拟合的方法,计算出一个较优的初始点.实例证明,采用多步拟合的初始点选取方式以及自适应圆锥拟合优化模型,可以得到重复度好以及精度高的圆锥形状误差评定结果.According to saddle point programming,a mathematical measuring model of cone error based on adaptive fitting method and minimum zone principle is established,which is solved by sequential quadratic programming.Since the global optimum is dependent of the initial point for this complex saddle point programming problem,a step by step fitting method is adopted to obtain a better one by analyzing the geometrical relation between the measurement model and the ideal cone model.The results of many examples indicate that based on initial points obtained with step by step fitting method and the adaptive fitting cone optimization model,a repeatable and high-precision evaluation results of the cone error can be achieved.

关 键 词：自适应 鞍点规划 三坐标测量机 圆锥度误差 最小条件原则 

分 类 号：TG839[金属学及工艺—公差测量技术]