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

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (5) : 184-190.

EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE

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

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

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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.

Key words

soil-structure interaction / non-classical damping / real mode approximate decoupling method / seismic response

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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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