异形柱正截面承载力可靠度校核的Monte-Carloβ球法

The β-ball sampling of Monte-Carlo simulation on the reliability of load-carrying capacity of special-shaped column's normal section

考虑到异形柱截面的特异性,用传统方法校核其可靠度,可能存在一定的不足,而又没有专门针对异形柱可靠度校核的方法,因此,提出了一种相对精确的方法:利用数值积分和Monte-Carloβ球法相结合,校核异形柱正截面承载力可靠度。通过把柱的各个设计参数看作随机变量进行抽样,模拟实际情况,并结合数值积分和逐级加曲率的方法,直接分析异形柱正截面承载力的可靠度。最后,给出了有关参数的建议值以及一个具体的算例。

Considering the specificity of the section of special-shaped column, the typical method for the reliability might be incorrect, and there was not any literature about the reliability of special-shaped column. Thus, a relatively precise method combining numerical integration and β-ball sampling of Monte-Carlo simulation on the reliability of load-carrying capacity of special-shaped column＇s normal section was brought forward. In this method, the design parameters of the column were regarded as random variables and simulated according their probability distribution. Then numerical integration was adopted to analyze the reliability of load-carrying capacity of spacial-shaped column＇s normal section, by adding curvity step by step. Latter was an example and the recommended values of relevant parameters.