Non stationary response analysis of&nbsp; isolated structures with linear viscoelastic liquid dampers

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (2) : 234-246.

Non stationary response analysis of isolated structures with linear viscoelastic liquid dampers

LI Chuangdi,BAI Dalian,GE Xinguang,LIU Peng

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Abstract

In order to establish an analytical method for seismic dynamic reliability analysis and a modal superposition seismic design method based on response spectrums for viscoelastically damped linear structures,the modal superposition solutions of transient responses and the analytical method for non stationary random seismic responses of isolated structures with linear viscoelastic liquid dampers were studied systematically.Using the general integral analytical model for linear viscoelastic dampers,the non-symmetric integral-differential dynamic response equations for the structures were established.By using the transfer matrix method,the modal superposition solutions in original structural space for the transient responses of the isolated structures and its general linear viscolastic liquid dampers under arbitrary exterior forcing loadings and non-zero initial conditions were obtained.By virtue of these analytical solutions and the fast pseudo excitation method,a non stationary response analytical method for isolated structures with linear viscoelastic liquid dampers under uniform or non-uniform amplitude modulated filtered white noise seismic excitation was established.The obtained transient response solutions and the established general non stationary response analytical method can provide a path for establishing the analytical method for seismic dynamic reliability analysis and the modal superposition seismic design method based on response spectrums of the components of isolated structures.

Key words

isolated structure / viscoelastic liquid damper / modal superposition / transient response / non stationary response

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LI Chuangdi,BAI Dalian,GE Xinguang,LIU Peng. Non stationary response analysis of isolated structures with linear viscoelastic liquid dampers[J]. Journal of Vibration and Shock, 2019, 38(2): 234-246

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