土-结构相互作用体系实模态近似解耦及地震响应分析  

Real mode approximate decoupling and seismic response analysis of soil-structure interaction system

作　　者：王昌盛 林建好[1] 杨艳[1] 徐家云[2] WANG Changsheng;LIN Jianhao;YANG Yan;XU Jiayun(College of Civil Engineering and Architecture,Huanghuai University,Zhumadian 463000,China;Hubei Key Laboratory of Road Bridge and Structural Engineering,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]黄淮学院建筑工程学院,河南驻马店463000 [2]武汉理工大学道路桥梁与结构工程湖北省重点实验室,武汉430070

出　　处：《振动与冲击》2025年第5期184-190,共7页Journal of Vibration and Shock

基　　金：河南省科技攻关项目(242102320030,242102321031);黄淮学院青年骨干教师资助计划。

摘　　要：针对土-结构相互作用体系运动方程存在耦合模态阻尼矩阵在实数域内无法精确解耦的问题。首先采用强迫解耦法对非经典阻尼矩阵进行解耦,然后分析强迫解耦法造成的误差,提出采用实模态近似解耦法对结构体系进行求解,同时结合Laplace变换将体系响应用系列标准振子的位移和速度的线性组合来表示。通过算例分析可知,采用实模态近似解耦法求得的结构地震响应与精确复模态法求得的结果吻合较好,其精度高于强迫解耦法。尤其在分析土-结构相互作用体系上部结构动力响应时,其优势更为凸出。所提的实模态近似解耦法精度较高、避免了复数域内运算且工程意义便于理解,可推广应用到其他具有非经典阻尼特性的结构体系中。Here,aiming at the problem of the coupled mode damping matrix being unable to be accurately decoupled in real domain for dynamic equations of soil-structure interaction systems,firstly,a non-classical damping matrix was decoupled using the forced decoupling method.Then,errors caused by the forced decoupling method were analyzed,and the real mode approximate decoupling method was proposed to solve the structural system.Meanwhile,Laplace transform was used to represent the system response with a linear combination of displacement and velocity of a series of standard oscillators.Through case analysis,it was shown that structural seismic responses obtained by using the real mode approximation decoupling method agree better with the results obtained using the accurate complex mode method,and its accuracy is higher than that of the forced decoupling method;especially,when analyzing dynamic response of upper structure of soil-structure interaction system,its advantages are more prominent;the proposed real mode approximate decoupling method can have higher accuracy,and avoid mathematical operations in complex domain;the engineering meaning of this method is easy to understand;this method can be extended to deal with other structural systems with non-classical damping characteristics.

关 键 词：土-结构相互作用 非经典阻尼 实模态近似解耦法 地震响应 

分 类 号：TU375.4[建筑科学—结构工程]