过滤白噪声地震动模型的CQC振型相关系数计算  

Calculation of CQC mode correlation coefficients under filtered white noise model of earthquake ground motion

作　　者：王刚[1] 周晓青[1] WANG Gang;ZHOU Xiaoqing(College of Civil Engineering,Shenzhen University,Shenzhen 518060,Guongdong Province,P.R.China)

机构地区：[1]深圳大学土木工程学院,广东深圳518060

出　　处：《深圳大学学报（理工版）》2018年第2期128-131,共4页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目(51678364)~~

摘　　要：当地震动模型为过滤白噪声时,通过频域有理分式积分,求完全二次型组合(complete quadratic combination,CQC)振型相关系数的闭合表达式将变得困难和不实用.本研究提出将传递函数转化为状态空间方程,通过求解Lyapunov方程得到振型相关系数的方法,且通过用Kanai/Tajimi模型验证了方法的有效性.该方法可推广到常见的过滤白噪声地震动模型,避免了频域有理分式积分闭合解的冗长公式,计算量小,可靠性好,是精确解.When filtered white noise is used to model ground motion,the computation of complete quadratic combination(C Q C)modal correlation coefficients by integration of rational function becomes difficult,and the closed-form formulas become tedious and impractical.We propose a new method to obtain modal correlation coefficients by transforming transfer function model into state space model and then by solving a Lyapunov equation.This method can be extended to the situation where filtered white noise ground motion models are used.Kanai/Tajimi model is used to verify the correctness of the proposed method.It is not only concise,reliable and numerical efficient but also can avoid solving tedious closed-form formulas of integration of rational functions.

关 键 词：工程抗震 振型相关系数 完全二次型组合 振型分解反应谱法 LYAPUNOV方程 过滤白噪声 

分 类 号：TU311.3[建筑科学—结构工程]