• CN:11-2187/TH
  • ISSN:0577-6686

›› 2000, Vol. 36 ›› Issue (3): 69-72.

• 论文 • 上一篇    下一篇

数论方法在统计公差分析中的应用

周志革;黄文振;张利   

  1. 上海交通大学机械工程学院
  • 发布日期:2000-03-15

APPLICATION OF NUMBER THEORETIC METHODS IN STATISTICAL TOLERANCE ANALYSIS

Zhou Zhige;Huang Wenzhen;Zhang Li   

  1. Shanghai Jiaotong University
  • Published:2000-03-15

摘要: Monte-Carlo仿真方法通常用于复杂装配组件的公差分析,其主要缺点是计算量大、效率低。对此,提出以基于数论方法产生的伪随机数代替由Monte-Carlo方法所产生的随机数进行仿真。与随机数相比,伪随机数的分布更为均匀。算例结果表明:基于伪随机数的公差分析具有Monte-Carlo方法简单实用的优点,同时计算量小,在计算精度相同的情况下计算效率可以提高10~20倍。

关键词: Monte-Carlo方法, 公差分析, 数论方法, 伪随机数

Abstract: Monte-Carlo simulation is used to determine the sets of tolerance in the process of statistical tolerance analysis and synthesis. A large amount of samples are used to increase calculation accuracy because of the in homogeneity of the random number based on the Monte-Carlo method. Instead of random numbers, the pseudo-random numbers are used for statistical tolerance analysis based on number theoretic method. The distribution of pseudo-random numbers is more homogeneous than that of random numbers based on Monte-Carlo method. Consequently, it is indicated that the method presented is simple and practical as the Monte-Carlo Method, and the calculation amount compared with that of random numbers may be decreased 10~20 times with the same accuracy.

Key words: Monte-Carlo method, Number theoretic method, Pseudo-random numbers, Tolerance analysis

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