RANDOM EARTHQUAKE RESPONSE ANALYSIS FOR ENERGY DISSIPATION STRUCTURE WITH ADDING VISCOUS DAMPER

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Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (10) : 117-121.

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RANDOM EARTHQUAKE RESPONSE ANALYSIS FOR ENERGY DISSIPATION STRUCTURE WITH ADDING VISCOUS DAMPER

SUN Guang-jun;LI Ai-qun

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Abstract

The dynamic responses of multi-degree of freedom seismic reduction structure with viscous damped brace under the random earthquake motion model are analyzed. The earthquake induced ground motion is assumed to be a zero mean stationary filtered Gaussian white noise process with a Kanai-Tajimi power spectrum. The equivalent linear viscous damping coefficient is considered as the parameter of damper for simplicity of analysis and the dynamic equation of structure with energy dissipation device is established. According to the special situation that the modal equation become coupled through the viscous damping term built into structure, the motion equation of the structure with viscous damper under the random earthquake motion model is represented by the state equation. In the state space, the complex mode method and random vibration theory are used to establish the calculation method and deduce the stochastic response analytic solutions of structure with viscous damper and energy dissipation device in time domain，respectively. Finally, the proposed method is applied to a frame structure with adding viscous fluid dampers. By introducing the conception of state space, the vibration equation of structure with viscous damper can be uncoupled and the analytic solution of variance response of structure using viscous damper may be obtained conveniently in time domain. This practical method can provide a basis for reliability assessment and reliability-based optimization of vibration energy dissipation structure with viscous damper.

Key words

viscous damper / vibration energy dissipation / complex mode / random response

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SUN Guang-jun;LI Ai-qun. RANDOM EARTHQUAKE RESPONSE ANALYSIS FOR ENERGY DISSIPATION STRUCTURE WITH ADDING VISCOUS DAMPER[J]. Journal of Vibration and Shock, 2009, 28(10): 117-121