基于蒙特卡洛模拟与响应面方法的公差建模

针对现有机床精度设计方法实用性不强的问题,提出了一种基于蒙特卡洛模拟与响应面方法的公差建模方法。采用基于数学定义的公差分析理论建立公差的变动不等式与约束不等式;运用蒙特卡洛模拟法进行仿真试验，模拟实际公差表面的变动，生成公差变动要素的实际变动区间;以公差与试验得到的公差变动要素实际变动区间带宽值为建模样本，运用响应面方法建立两者间的响应面模型;对一个典型实例进行分析,分析结果表明,该方法符合工程实际，具有较高的建模精度及技术经济性。

Tolerance Modeling Based on Monte-Carlo Simulation and Response Surface Method

For the poor practicability of existing precision design method of machine tool,a new method about tolerance modeling based on MCS and response surface method was proposed herein.Firstly,the constraint inequality and change inequality  were established using tolerance analysis based on mathematic definition theory.And  then the simulated tests with MCS method were conducted to simulate the change of actual tolerance surface,and get the actual change interval of the tolerance factor.With the samples based on the tolerance and the bandwidth value of actual change interval obtained above,the response surface modeling between the tolerance and bandwidth was constructed by response surface method.Finally,a typical example was analyzed and the results  indicate the method  is consistent with engineering practice, and has high modeling precision and technical economics.