土—结构相互作用体系实模态近似解耦及地震响应分析

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (5) : 184-190.

地震科学与结构抗震

土—结构相互作用体系实模态近似解耦及地震响应分析

王昌盛*1，林建好1，杨艳1，徐家云2

作者信息 +

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

WANG Changsheng*1, LIN Jianhao1, YANG Yan1, XU Jiayun2

Author information +

文章历史 +

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，其优势更为凸显。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，可推广应用到其它具有非经典阻尼特性的结构体系中。

Abstract

Aiming at the problem that the coupled modal damping matrix cannot be accurately decoupled in the real number domain in the motion equation of soil-structure interaction system. Firstly, the forced decoupling method is used to decouple the non-classical damping matrix, and then the error caused by the forced decoupling method is analyzed. The real mode approximate decoupling method is proposed to solve the structural system. At the same time, the system response is expressed by the linear combination of displacement and velocity of a series of standard oscillators combined with Laplace transform. Through the example analysis, it can be seen that the seismic response of the structure obtained by the real mode approximate decoupling method is in good agreement with the results obtained by the accurate complex mode method, and its accuracy is higher than that of the forced decoupling method. Especially in the analysis of the dynamic response of the superstructure of the soil-structure interaction system, its advantages are more prominent. The proposed real mode approximate decoupling method has high accuracy, avoids the operation in the complex domain, and is easy to understand in engineering significance. It can be applied to other structural systems with non-classical damping characteristics.

导出引用

王昌盛1, 林建好1, 杨艳1, 徐家云2. 土—结构相互作用体系实模态近似解耦及地震响应分析[J]. 振动与冲击, 2025, 44(5): 184-190

WANG Changsheng1, LIN Jianhao1, YANG Yan1, XU Jiayun2. Real mode approximate decoupling and seismic response analysis of soil-structure interaction system[J]. Journal of Vibration and Shock, 2025, 44(5): 184-190

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