实体法铣削仿真效率改善及应用算法

Algorithm of Efficiency Improvement and Application in Milling Simulation Based on Solid Modeling

轴向切削深度和径向切削宽度是铣削仿真模型求解的几何边界条件,也称为啮合几何参数。根据对啮合参数提取的三类途径的比较,针对直接布尔操作途径仿真效率低的问题,运用集合论描述了实体法铣削仿真中模拟材料去除的布尔运算过程,从时间复杂性角度分析影响实体法铣削仿真效率的因素,提出改善仿真运行效率的4种途径;在此基础上,从几何造型和切削过程两方面给出在仿真计算位置处布尔运算次数由4次减少为1次的可行性分析,提出在简化布尔运算次数情况下的切削几何边界条件的识别和判断算法,对判断算法的有效性和减少布尔运算的时间复杂性进行分析、给出在铣削力仿真中的应用示例,并说明应用范围,从而在保证切削几何边界条件准确提取的同时提高仿真效率,为铣削力等仿真模型的求解奠定基础,推动相关物理仿真研究成果在工程实际中得到切实应用。

Axial cutting depth and radial cutting width,namely the engagement geometric parameters,are geometric boundary conditions for the solution of milling force models.Based on the comparison of three approaches in extracting the engagement parameters,in order to promote the simulation efficiency of the direct boolean operation approach,the boolean computation to simulating the course of material removal in solid based milling simulation are described by set theory,and the efficiency influence factors of the solid modeling based milling simulation system are analyzed according to time complexity,and the improvement approaches of simulation efficiency are proposed.The feasibility analysis to reducing the Boolean operation number from 4 to 1 at the computing position during simulation are processed,the algorithm to identify and judge the corresponding cutting geometric boundary conditions are presented,the theoretic effect and the application restriction are explained,and the application example in milling force simulation are provided.By this way,the simulation efficiency can be improved and at the same time the veracity of the extracted cutting boundary parameters are ensured,so the actual application in real engineering of such physical simulation models as cutting force are promoted.