基于多变量幂多项式展开的含随机参数结构可靠性分析（英文）

发布时间：2018-03-28 04:25

本文选题：可靠度　切入点：随机参数　出处：《Journal of Southeast University(English Edition)》2017年01期

【摘要】：基于多变量幂多项式展开,提出了一种计算带有随机参数的结构失效概率的新方法,随机参数包括材料性能、结构几何特征和静力荷载.首先,将结构响应展开为一个系数未知的多变量幂多项式展开式,然后结合高阶摄动技术和伽辽金投影方法确定多变量幂多项式展开式的待定系数,从而最终获得结构的功能函数.由于得到的功能函数是一种显式表达,可通过蒙特卡洛模拟直接进行结构失效概率的多维积分计算,且只需少量的计算时间.2个数值算例证明了所提出方法的精确性和高效性.将该方法与被广泛应用的一次二阶矩可靠性方法(FORM)和二次二阶矩可靠性方法(SORM)进行了比较,结果表明该方法的计算结果最接近直接蒙特卡洛方法,且比直接蒙特卡洛方法耗时低很多.
[Abstract]:Based on the multivariable power polynomial expansion, a new method for calculating the failure probability of structures with random parameters is proposed. The random parameters include material properties, structural geometric characteristics and static loads. The structural response is expanded into a multivariable power polynomial expansion with unknown coefficients, and then the undetermined coefficients of the multivariable power polynomial expansions are determined by using the higher-order perturbation technique and Galerkin projection method. Finally, the function function of the structure can be obtained. As the function function obtained is an explicit expression, the multi-dimensional integral calculation of the failure probability of the structure can be directly carried out by Monte Carlo simulation. Two numerical examples show that the proposed method is accurate and efficient. The proposed method is compared with the first order second order moment reliability method and the second order second order moment reliability method. The results show that this method is the closest to the direct Monte Carlo method and takes much less time than the direct Monte Carlo method.
【作者单位】：武汉理工大学土木工程与建筑学院;
【基金】：The National Natural Science Foundation of China(No.51378407,51578431)
【分类号】：O213.2

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