基于蒙特卡罗的考虑随机初始缺陷的分析方法

现行规范采用的多种直接或间接考虑初始缺陷的取值方法均没有很好的考虑构件缺陷的随机分布,夸大了初始几何缺陷的影响。针对现有工程初始缺陷实测分布具有随机偶然性的问题,该文采用蒙特卡罗法模拟了结构构件的随机初始几何缺陷。为进一步提高抽样效率,同时采用了具有抽样记忆功能的拉丁超立方抽样技术,避免了在抽样空间内重复抽样,有效减少了模拟次数。结果表明:用自编程序实现的考虑钢框架结构随机初始几何缺陷的分析方法,可以在多高层钢框架结构高等分析中模拟初始缺陷的随机分布与遇合,为开展准确有效的高等分析与设计研究奠定基础。

MONTE CARLO-BASED ANALYSIS METHOD CONSIDERING RANDOM INITIAL IMPERFECTIONS

The random distribution of initial geometric imperfections is not considered in current codes which model the imperfections directly or indirectly in different ways,and the adverse effect of initial imperfections is estimated conservatively.In this paper,the random geometric imperfections of the structures and their members have been simulated using Monte Carlo method.In addition,the efficiency of sampling is further improved by Latin Hypercube sampling technique,in which the duplicate samples are reduced in the sampling space.Results indicate that the analysis method considering random initial geometric imperfections has been realized by means of MATLAB program,which is the foundation of the research on the advanced design method accurately and effectively.