Maxwell阻尼耗能多层结构在有界噪声激励下的随机响应解析分析

Exact analysis of the random responses of multi-storey structure with Maxwell dampers under bounded noise excitation

为研究Maxwell阻尼器耗能多层结构在有界噪声激励下的随机响应问题,首先,建立了耗能结构时域非扩阶微分积分动力方程;然后,用传递函数法,获得了结构以第一振型表示的时域瞬态位移和速度响应非扩阶解析解;最后,基于此解析解,获得耗能结构在有界噪声激励下位移和速度随机响应方差解析解,并给出算例,从而建立此种耗能结构在有界噪声激励下随机响应解析分析的一整套方法.

The random responses of multi-storey structure with Maxwell dampers under bounded noise excitation are studied. Firstly, the structural non-extended order differential-integral dynamic response equations are established; Then, by using transfer function method, the exact solutions of structural transient displacement and velocity responses in time-domain are obtained by expanding the structure with respect to the first mode. Finally, by using above exact solutions, analytical solutions of the response variances of the displacement and velocity of energy dissipation structure under the bounded noise excitation are obtained. Therefore, a complete set of analytical method for the stochastic response of the energy dissipation structure under bounded noise excitation is established and a numerical example is given.