Concise analytical solution to seismic response of hybrid base isolation energy-dissipation structure based on Clough-Penzien spectrum

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (1) : 134-141.

LIN Guiwu, GE Xinguang, LI Tun

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Abstract

The lateral viscoelastic damper is set at base isolation layer to form a hybrid base isolation system to effectively reduce excessive lateral displacement of the base isolation structure. However, this kind structure’s random seismic response solving method based on Clough-Penzien spectrum (C-P spectrum) is more complicated. Here, a simple analytical method was proposed. Firstly, using the filtering equation, the ground motion exerted on a hybrid base isolation energy-dissipation structure based on C-P spectrum was accurately converted into that based on white noise excitation. Secondly, the complex mode method was used to obtain the unified concise expression for the covariance of random seismic series responses of the hybrid base isolation structure including displacement and velocity relative to ground surface, inter-layer displacement and its change rate. Thirdly, based on the random vibration theory, the concise analytical solutions to variances and 0-2 order spectral moments of random seismic series responses of the hybrid base isolation structure were obtained. Finally, the dynamic reliability of the hybrid base isolation structure based on the first passing failure criterion was studied. The proposed method was applied in an example. The contrastive analysis was performed for this method and the virtual excitation method. Results showed that seismic response variances and spectral moments obtained with the proposed method are analytical solutions, while those gained with the virtual excitation method are numerical ones; the hybrid base isolation energy-dissipation structure can effectively reduce its lateral displacements, and improve its dynamic reliability.

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hybrid base isolation structure / spectral moment / analytical solution / system dynamic reliability / Clough-Penzien (C-P) spectrum

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LIN Guiwu, GE Xinguang, LI Tun. Concise analytical solution to seismic response of hybrid base isolation energy-dissipation structure based on Clough-Penzien spectrum[J]. Journal of Vibration and Shock, 2021, 40(1): 134-141

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