自由曲面几何仿真与非线性误差分析  

Geometry simulation and non-linear error analysis of free surfaces

作　　者：赵文珍[1] 李刚[1] 赵文辉[1] 段振云[1] 

机构地区：[1]沈阳工业大学机械工程学院,沈阳110178

出　　处：《沈阳工业大学学报》2008年第4期449-452,共4页Journal of Shenyang University of Technology

基　　金：辽宁省国际科技合作计划资助项目(2007405006)

摘　　要：针对自由曲面数控加工中的加工误差问题,通过分析各种铣刀的几何特征,归纳出一种用参数表示的通用铣刀模型,并以通用铣刀模型为基础,结合自由曲面的包络法数控加工原理,给出了一种基于啮合基本定理的点接触包络加工表面的几何仿真算法.利用几何仿真的计算结果,分析自由曲面加工中的法向误差,该仿真算法把复杂的仿真问题转化成了非线性方程组的求解问题,从而使仿真过程得到简化,对于提高数控编程精度具有重要意义.并以截面包络法数控加工曲面为例,分析了曲面加工精度,验证了该仿真算法.Focused on error analysis in NC machining process of free surface, a generalized milling cutter model using parameter expression was proposed by analyzing the geometric characters of various milling cutters. On the basis of the generalized milling cutter model and with reference to the envelope machining theory of free surface, a geometry simulation algorithm for the point-contact envelope machining based on the basic engagement theorem was presented. The geometry simulation results were used for analyzing the normal error in machining of free surface. Because the algorithm converts the complicated simulating problem into the solving problem of non-linear equations, the simulating process gets simplified, which has an important significance for improving NC programming precision. In addition, the machining precision for free surface was analyzed and the algorithm was validated with taking the section envelope machining of free surface as an example.

关 键 词：包络 自由曲面 仿真 啮合 非线性误差 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]