北京航空航天大学学报 ›› 2021, Vol. 47 ›› Issue (10): 2024-2033.doi: 10.13700/j.bh.1001-5965.2020.0373

• 论文 • 上一篇    下一篇

疲劳统计学智能化中的高镇同法

徐家进   

  1. 力中国际融资租赁有限公司, 广州 510620
  • 收稿日期:2020-07-30 发布日期:2021-11-08
  • 通讯作者: 徐家进 E-mail:xujiajin666@163.com

Gao Zhentong method in intelligentization of statistics in fatigue

XU Jiajin   

  1. L&Z International Leasing Co. Ltd., Guangzhou 510620, China
  • Received:2020-07-30 Published:2021-11-08

摘要: 在疲劳统计学中威布尔分布起着非常重要的作用,但3个参数的威布尔分布在数学形式上比较复杂。通过样本数据估计这3个参数,可通过威布尔概率坐标纸,但其使用不便,且误差较大;也可通过解析法,求解3个联立的超越方程组,但存在不自冾的问题。为此,提出了智能化解决方案——高镇同法,高镇同法充分利用了Python的特点,能够方便地同时给出威布尔分布的3个参数,为威布尔分布的理论研究、实际应用和疲劳统计学的智能化奠定了坚实的基础。

关键词: 三参数威布尔分布, 安全寿命, Python, 高镇同法, 智能疲劳统计学

Abstract: The Weibull distribution plays a very important role in statistics in fatigue, but the Weibull distribution of the three parameters is more complicated in mathematical form. The three parameters can be estimated through sample data. One is the "Weibull probability paper", but this method is inconvenient to use and the error is relatively large. The other is the "analytical method". To solve the three simultaneous transcendental equations, although it can be solved by a computer, there is still the problem of "incompatibility". To this end, an intelligent solution-Gao Zhentong method is proposed, which makes full use of the characteristics of Python and can conveniently give the three parameters of Weibull distribution at the same time. This lays a solid foundation for the theoretical research, practical application and intelligentization of statistics in fatigue of Weibull distribution.

Key words: three-parameter Weibull distribution, safe life, Python, Gao Zhentong method, intelligent fatigue statistics

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