结构的非线性随机地震响应分析

提出了一种基于广义高斯分布的结构非线性随机地震响应分析方法,该方法采用广义高斯分布来预测结构非线性随机地震响应的边缘分布,采用Nataf分布预测结构非线性随机地震响应的联合分布,而预测模型的参数由非线性响应的一阶和二阶绝对矩来估计。采用发展的方法,分析了Kanai-Tajimi地面运动加速度作用下六层剪切型框架结构的非线性随机响应,分析结果表明该方法具有较高的数值精度和计算效率。

Random seismic response analysis of nonlinear structures

Using the generalized Gaussian distribution,this paper proposes an effective method to the analysis of the marginal and joint distributions of random responses of nonlinear structures subjected to random excitations. The marginal probability density function(PDF) of a nonlinear random response is modeled by the generalized Gaussian distribution and the joint PDF of the responses of interest is obtained by the Nataf model. The model parameters required by the method can be estimated by simple estimators. Numerical examples,a six-story shear-building structure under random earthquake loading,show that the method is very effective in the sense that it provides sufficiently exact solutions for the hardening as well as softening random responses with feasible computational efforts.