【摘要】 在Vanmarcke修正首次超越破坏理论基础上,提出了利用Gauss-legendre积分公式与Gauss-legendre积分的点估计求解随机结构在随机地震激励下的动力可靠度方法。仿真分析结果表明,两种方法求得的可靠度均值与变异系数均随结构参数变异系数增大而收敛。尽管Gauss-legendre积分法具有很高的计算精度,但维数超过3维时其计算效率降低明显;而Gauss-legendre积分的点估计法则可明星改进高维系统的计算效率,同时还具有计算精度高的优点。计算结果表明:Gauss-legendre积分法适合于多变量实际工程结构的可靠度分析。更多还原

【Abstract】 In this paper,Gauss-legendre integral formulation and Gauss-legendre integral points estimation method are proposed to solve the reliability of stochastic structure under seismic excitation,based on the first-passage method modified by Vanmarcke.Numerical simulation shows that Gauss-legendre integral method is only suitable for system whose dimension is less than 4,offering great precision and higher computational efficiency.By contrast,Gauss-legendre integral points estimate method possesses excellent precision and much higher computational efficiency.Both the mean and variation coefficient of structural reliability solved by those two methods are converged with increase in variability coefficient of structure parameters.更多还原