Applicability of equation of motion and damping matrix of&nbsp; base-isolated structure in dynamic response analysis

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (1) : 198-206.

Applicability of equation of motion and damping matrix of base-isolated structure in dynamic response analysis

LI Shiyuan1, TAN Ping1,2,3, MA Haitao1,2,3

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Abstract

As the damping model and equation of motion have significant impacts on the accuracy of structural dynamic analysis algorithms. Because the seismic behavior of base-isolation structures has remarkable characteristics, dynamic analysis algorithms for conventional structures may not be suitable for the base-isolated structures any more. From this point of view, this paper presents a study with the emphasis on the structural damping model and equations of motion with different seismic input. It is found that use of the conventional method to construct the damping matrix for the base-isolated structure will cause the superstructure produce damping force with the rigid displacement of the isolation bearing and this may cause significant in numerical accuracy loss. A new scheme is proposed for the determination of damping matrix of the base-isolated structure, and general expressions are presented in terms of the damping matrix of the superstructure and the damping constant of the isolation layer. Analytical expressions of structural matrices are presented for a shear-type model of base-isolated structures, and then a numerical study is conducted to demonstrate the feasibility and effectiveness of the proposed methods. The numerical results obtained confirm that use of the conventional method to construct the damping matrix for the base-isolated structure overestimates the damping effect of the structure, and the displacement input model overestimates the deformation of the isolation layer and underestimates superstructure responses, when the damping of the isolation layer is 0.3, the relative deviations can reach 34.6 and -31.1% , by using the displacement-velocity input model, the analysis results are consistent with the acceleration input model, so the displacement-velocity input model should be used instead of the traditional displacement input model.
Key words: base isolation; equation of motion; damping matrix; displacement input model; seismic motion input mode

Key words

base isolation / equation of motion / damping matrix / displacement input model / seismic motion input mode

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LI Shiyuan1, TAN Ping1,2,3, MA Haitao1,2,3. Applicability of equation of motion and damping matrix of base-isolated structure in dynamic response analysis[J]. Journal of Vibration and Shock, 2023, 42(1): 198-206

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