中文摘要：

对设置五参数Maxwell阻尼器的单自由度耗能结构在有界噪声激励下的随机响应问题进行研究.首先,采用五参数Maxwell阻尼器的积分型模型,建立了耗能结构时域非扩阶微分积分动力方程;然后,利用传递函数法,直接在耗能结构非扩阶空间上获得耗能结构在任意激励下位移、速度和阻尼器受力的时域瞬态响应的解析解;最后,基于此精确解,获得耗能结构在有界噪声激励下位移、速度和阻尼器受力的随机响应方差解析解,并给出了算例,从而建立了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.

英文摘要：

The random response of a single degree of freedom energy dissipation structure with five-parameters Maxwell dampers under bounded noise excitation is studied. Firstly, the integral model of five-parameter Maxwell damper is adopted, the structural non-extended order differential-integral dynamic response equation is established. Then, the non-extended analytic solution of transient displacement,velocity and damper＇s force response in time domain for energy dissipation structure are obtained by using transfer function method; Lastly, by using the above exact solutions, analytical solution of the response variance of the displacement, velocity and damper＇s force of energy dissipation structure under the bounded noise excitation are obtained. Therefore, a complete set of analytic methods for the stochastic response of the energy dissipation structure under bounded noise excitation is established and a numerical example is given.