摘要
在研究了蒙特卡洛(Monte Carlo)模拟的概念、方法和基本步骤的基础上,讨论了蒙特卡洛模拟在计算机辅助统计公差设计中的应用,提出了基于蒙特卡洛模拟的公差分析流程,并且运用Microsoft Excel软件进行了蒙特卡洛模拟实例计算.模拟结果表明:用蒙特卡洛模拟进行公差分析的结果与概率法接近,随着模拟次数的增加,计算的精度提高.蒙特卡洛模拟可求解线性、非线性、平面及空间的尺寸链问题,是一种普遍适用的统计公差设计方法.
The theory, method, and main course of Monte Carlo Simulation were studied. Its application in computer aided statistic tolerance was discussed. A tolerance analysis process based on Monte Carlo Simulation was put forward. And an applied prototype was illustrated with Monte Carlo Simulation in Microsoft Excel. Simulation results indicate that the result of tolerance analysis with Monte Carlo Method is close to the Probability Method and the calculation precision is improved as the simulation is increased. Monte Carlo Method, as a broad applicable tolerance design method, can solve dimensional chains with any form, including linear, nonlinear, plane, and three-dimensional chains.
出处
《天津科技大学学报》
CAS
2008年第2期60-64,共5页
Journal of Tianjin University of Science & Technology
基金
天津市应用基础研究重点基金资助项目(06YFJZJC00500)
关键词
蒙特卡洛模拟
统计公差
公差设计
公差分析
Monte Carlo Simulation
statistical tolerance
tolerance design
tolerance analysis
