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用蒙特卡罗法解尺寸链问题
Solving the Problem of Dimentional Link by Monte-Carlo Method,
【摘要】 本文提出用蒙特卡罗法求解尺寸链问题。模拟过程是用计算机产生(0,1)均匀分布的随机数,然后将这些数转换成正态分布N(μ,σ)或其它给定分布的随机数,将尺寸链中每个尺寸用给定分布的随机数代入到尺寸链方程中则可求出封闭环尺寸,如此重复足够的次数,最后来出诸封闭环尺寸的均值,方差,最大尺寸与最小尺寸。本方法的特点是能直接输入任意分布规律和未知分布规律的组成环尺寸。
【Abstract】 This paper suggests a method to Solve the problem of dimen-tional link by Monte-Carlo simulation. The Monte-Carlo SimulationProcess consists of generating many rondom values for a uniform distributionof interval (0, 1) by computer calculation and changing these to random Va-lues for a normal distribution (μ, σ) or others, then substituting every sizeof component link into dimentional Iink equation by random value for certaindistribution that has been known and evaluating the size of close link. Suchprocess repeats many enough times. Finally, the meen variance, maximumand minimum sizes for these of close link are evaluated. The character ofthis method is that the sizes of component links for any distribution orunknow can be inputted directly.
【Key words】 Components Parts; Dimensional Tolerances; Monte-Carlo Method; Statistical Investigation Method;
- 【文献出处】 南京理工大学学报(自然科学版) ,Journal of Nanjing University of Science and Technology , 编辑部邮箱 ,1985年01期
- 【被引频次】16
- 【下载频次】122