蒙特卡洛有限元法结构可靠性分析

针对结构体系可靠性分析的困难和复杂,运用蒙特卡洛有限元法,提出一种分析空间框架结构体系的可靠性方法。首先采用蒙特卡洛方法对所取的荷载和材料参数进行模拟,产生其各自的随机数;然后利用有限元方法,并考虑荷载和材料的随机性,计算得到结构的响应,对其进行统计分析;最后再采用W检验及最大熵法对其进行概率密度拟合,利用失效准则建立结构的功能函数,求得体系的可靠度。通过实例分析,该方法可很好地用于求解空间框架结构体系的可靠性,方法简便,容易实现,可对将建结构进行可靠性分析,也可用于评估在役房屋结构的可靠性,为工程结构的维修提供参考。

Analysis on Structure Reliability with Monte Carlo Finite Element Method

According to the difficulty and complexity of the analysis on structural system reliability,an effective method to calculate space frame structure with Monte Carlo method was proposed.First,the selected load and material parameters were simulated with Monte Carlo method and their own random numbers were generated.Then,considering the randomness of the load and material,the response of structure was calculated with the finite element method and the statistical analysis was carried out subsequently.Finally,W-test and the maximum entropy method was adopted to fit the probability density and a function was established to obtain the system reliability based on the principle of invalidation.Through example analysis,this method proved easy and simple,which could be used to calculate the reliability of space frame structure.It is effective to analyze and evaluate the reliability of structures that will be built,as well as those in service now,which can provide references for the maintenance of project structures.