切削振动计算机仿真的数值方法  

Numerical Methods for Computerized Simulation of Cutting Vibration

作　　者：李沪曾[1] 于信汇[1] 呙清强[1] 

机构地区：[1]同济大学机械工程系,上海200092

出　　处：《同济大学学报（自然科学版）》2001年第5期551-556,共6页Journal of Tongji University:Natural Science

基　　金：教育部留学回国人员资助项目 (教留司研 [1993 ] 3 60号 )

摘　　要：以平面端铣为例 ,介绍了应用Runge Kutta方法求解机床结构多自由度系统运动微分方程组仿真切削振动的公式和算法 .数字仿真铣削强迫振动和自激振动的结果 ,与采用Simpson公式 快速卷积 迭代法求解系统运动积分方程组仿真的结果非常接近 ,并与他人研究结论相符 ,实验证明两种数值方法 ,尤其是后者的收敛 。The mathematical formulas and arithmetic to numerically evaluate differential simultaneous equations of motion for 3D coupled multi degree of freedom system by applying Runge Kutta method in order to simulate,with computer cutting vibration for example in face milling with multiblade cutter are derived.Results of digital simulation of forced and self excited cutting vibration in face milling are good in accordance with that achieved by applying Simpson fast convolution iteration method to numerically evaluate integral simultaneous equations of motion and with investigation results of other researchers,which argues both methods,especially the latter,to be convergent and thus available as well as useful to computerized simulation of cutting vibration.

关 键 词：切削振动 计算机仿真 数值方法 RUNGE-KUTTA方法 Simpson-快速卷积-迭代法 机床 

分 类 号：TG502.14[金属学及工艺—金属切削加工及机床] TP391.9[自动化与计算机技术—计算机应用技术]