空间相关的多点多维地震动合成方法

A method to generate the multi-support and multi-dimension earthquake ground motion

基于谱方法的随机场理论,借助功率谱密度函数来描述地震动随机场,同时考虑不同点、不同向地震动分量间的相关性,分别采用Clough-Penzien模型和屈铁军-王君杰相干模型来描述平稳自功率谱和平稳互功率谱,建立了空间相关的多点多维地震动合成方法。采用Matlab R2010b编制生成程序,并以某445 m大跨度拱桥场地条件为例,生成空间相关的多点多维地震动时域样本,并将该时域样本的功率谱密度函数与目标功率谱密度函数进行对比。结果表明:模拟结果与目标值吻合较好,按照上述方法生成的多点多维地震时域样本满足要求。

A method to generate multi-support and multi-dimension earthquake ground motion was proposed. In this method,the random field of earthquake ground motion was described as the matrix of power spectral density function,and the correlations of earthquake wave components among different points and different directions were considered. The stationary auto-power spectrum and crosspower spectrum were described as Clough-Penzien model and Qu Tiequn-Wang Qunjie coherent model respectively. The simulated analysis program was compiled by Matlab R2010 b. As an example,an arch bridge with a span of 445 m was modelled,the multi-support and multi-dimension earthquake data and the power spectrum density function of which were generated and compared.The results show that the simulation results accord with the target and the generated earthquake ground motions by this method meet the requirements.