中文摘要：

对多自由度带Maxwell阻尼器的高层耗能结构响应进行了研究。首先,将多自由度结构用固有振型展开,得到等效运动方程。由于该方程不具有经典阻尼,利用传递矩阵法求解,得到了广义位移及广义速度的解析表达式。进而利用随机振动理论,将结构位移和速度的响应方差分解为系列标准振子位移与速度响应方差的线性组合,获得了耗能结构基于规范Davenport风谱对应的以固有振型表示的结构随机响应和等效风荷载的解析解,即建立了带Maxwell结构的随机风振响应的分析方法。算例分析表明了该方法的正确性。

英文摘要：

The structure of multi-degree freedom Maxwell damper is studied. First, the multi-degree freedom structure is expanded by first mode. Single degree freedom motion equation is obtained. As the equation does not have the classical damping, the analytical expression of the generalized displacement and the generalized ve-locity is obtained by the transfer matrix method. Then, by random vibration theory, the response variance of the displacement and velocity structure is divided into a series of standard vibrator displacement and velocity re-sponse of a linear combination of the variance. Finally, the structural random response and equivalent wind load are obtained by the Davenport spectrum. A random wind vibration response analysis method is established with Maxwell structure. A numerical example is given.