带支撑Maxwell阻尼器多层隔震结构的随机地震响应分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (21) : 213-219.

论文

邹万杰，马媛，李创第，葛新广

作者信息 +

Random seismic response of multilayer vibration isolation structure with supporting of Maxwell damper

Zou Wanjie，Ma Yuan，Li Chuangdi，Ge Xinguang

Author information +

文章历史 +

摘要

对隔震层附设带支撑的五参数Maxwell阻尼器的多层基础隔震结构随机地震响应解析解法及平稳响应进行了研究。首先将上部结构用第一振型展开，采用带支撑的五参数Maxwell阻尼器的积分型分析模型，用微分积分方程组实现对该结构的时域非扩阶精确建模；然后采用传递矩阵法，直接在耗能隔震结构原空间获得结构在任意激励下的位移、速度和阻尼器的时域瞬态响应解析表达式；最后在Kanai-Tajimi平稳滤过白噪声激励下，基于该解析解，获得了结构的位移、速度和阻尼器受力的随机响应方差，并给出算例，从而建立了该多层隔震结构在Kanai-Tajimi滤过白噪声激励下的随机响应解析分析方法。

Abstract

The analytical solution of stochastic seismic response and the steady state response of multi-storey base isolation structures which isolation layer attached with supporting of five parameters of Maxwell damper are studied. Firstly, the upper structure is expanded by the first vibration mode. By using the accurate analysis model of tntegral type with supporting of five parameters of Maxwell damper, the non-extended accurate model in time domain of the structure is realized by using the integral-differential equations. Then, by using transfer matrix method, the analytic expressions in original structural space for displacement, velocity and damper transient response of multilayer isolation structure in time domain due to arbitrary excitation are obtained. Finally, based on the analytical solutions, the random response variance of displacement, velocity and damper’s force of the multilayer isolation structure under the Kanai-Tajimi stationary filtered white noise excitation are obtained. Therefor, a complete set of analytical method for the stochastic response of the multilayer isolation structure under the Kanai-Tajimi filtered white noise excitation is established and a numerical example is given.

导出引用

邹万杰，马媛，李创第，葛新广. 带支撑Maxwell阻尼器多层隔震结构的随机地震响应分析[J]. 振动与冲击, 2017, 36(21): 213-219

Zou Wanjie，Ma Yuan，Li Chuangdi，Ge Xinguang. Random seismic response of multilayer vibration isolation structure with supporting of Maxwell damper[J]. Journal of Vibration and Shock, 2017, 36(21): 213-219

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