Exact response analysis of energy dissipation structures with Maxwell dampers under non-stationary seismic excitation

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (19) : 172-180.

Li Chuang-di 1 Li Tun 1 Wei Xiao-teng 2 Ge Xin-guang 1 Zou Wan-jie 1

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Abstract

Non-stationary random seismic response of SDOF structure with general Maxwell dampers and MDOF structure with Maxwell dampers are studied systematically. The closed-form exact relationships relating eigenvalue and eigenvector in structural extended state space and original space are established, the exact solutions for displacement and velocity or damper transient response of energy dissipation structures can be expressed by using eigenvalues and eigenvectors in structural original space; Then, as for seven kinds of classical uniformly amplitude modulated white noise seismic excitations and two kinds of classical uniformly amplitude modulated filtered white noise seismic excitations, the exact non-stationary response solutions for displacement and velocity or damper of dissipation structures are obtained, which can be also expressed by using eigenvalues and eigenvectors in structural original space, so the complete analytical methods of exact non-stationary seismic response solutions for dissipation structures with Maxwell dampers based on analysis of eigenvalues and eigenvectors in dissipation structural original space are established.

Key words

Maxwell dampers / energy dissipation structures / forced response of dampers / non-station random process / exact solutions

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Li Chuang-di 1 Li Tun 1 Wei Xiao-teng 2 Ge Xin-guang 1 Zou Wan-jie 1. Exact response analysis of energy dissipation structures with Maxwell dampers under non-stationary seismic excitation[J]. Journal of Vibration and Shock, 2016, 35(19): 172-180

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