采矿与安全工程学报 ›› 2013, Vol. 30 ›› Issue (1): 100-106.

• 论文 • 上一篇    下一篇

多失效模式相关下的结构系统可靠度计算研究

  

  1. 1.中南大学土木工程学院,湖南  长沙  410075;
    2.煤矿安全开采技术湖南省重点实验室,湖南  湘潭  411201
  • 收稿日期:2012-03-27 出版日期:2013-01-15 发布日期:2013-01-17
  • 作者简介:张道兵(1977-),男,湖北省石首市人,博士,讲师,从事岩土极限分析与结构可靠性方面的研究。 E-mail:dbzhang@hnust.edu.cn Tel:13975264336
  • 基金资助:

    国家自然科学基金项目(51174086;51178468;50874042);
    煤矿安全开采技术湖南省重点实验室开放基金项目(201102)

Reliability calculation of structure system correlated with multiple failure modes

  • Received:2012-03-27 Online:2013-01-15 Published:2013-01-17

摘要: 针对目前多失效模式相关下结构系统可靠度计算一般采用近似估算法,其计算结果存在误差的特点,首先建立了含单一极限状态方程和含多极限状态方程的多失效模式相关下结构系统可靠性一般模型,并分别给出其可靠度表达式,然后提出了在MATLAB环境下采用Monte Carlo模拟法直接利用程序实现多失效模式相关下结构系统可靠度相对精确计算方法,并给出了具体计算步骤和程序框图。结合两个算例进行分析,研究结果表明:多失效模式相关下的可靠度比传统单一不相关模式下的可靠度更科学、准确。且文中直接利用程序来实现多失效模式相关下结构系统可靠度计算的方法不仅克服了传统Monte Carlo模拟法实现过程效率低的缺陷,并且不需要将功能函数线性化与随机变量正态化,不需要进行复杂的换算,不需要求解近似联合密度函数,且计算精度高。

关键词: 多失效模式, 结构系统可靠性, 一般模型, Monte Carlo模拟法, MATLAB

Abstract: In this paper, the structure system with multiple failure modes were classified into the system with single limit state function and the one with multiple limit state function, then, the general reliability models and expressions for the two structure systems were also established, respectively. Meanwhile, in view of the characteristic that the reliability of structure system with multiple failure modes was usually computed by approximate estimation method and the results of calculation had some errors, we put forward a new relatively accurate method to calculate the reliability of structure system with multiple failure modes based on the Monte Carlo simulation method in MATLAB, gave the detailed calculating steps and program diagrams, and proceeded analysis combining with two examples. The results show that the calculated reliability by using multiple failure mode are more scientific and precise, compared with that computed by traditional single mode. Furthermore, the low efficiency in conventional realization process by Monte Carlo simulation method can be overcome during the new reliability calculation by using computer programs directly, the results can be calculated without the linear of performance function and normalizing of random variable, without complex conversion process, without solving the joint probability density function, and can obtain high calculation accuracy.

Key words: multiple failure modes, reliability of structure system, general model, Monte Carlo simulation method, MATLAB