高层Maxwell耗能结构随机风振响应解析分析

Analysis of random wind-induced response of tall building structure with Maxwell dampers

对设置Maxwell阻尼器的高层建筑结构随机风振响应及等效静态设计风荷载取值进行了研究.首先,用微分积分方程组建立了结构的运动方程;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响应非扩阶解析解;根据所得的解析解,用随机振动方法获得了Maxwell阻尼耗能高层建筑结构用第一振型表示的随机风振响应及等效静态设计风荷载取值的解析解;最后用算例验证了解析解的正确性.

The random wind-induced response and the equivalent static design wind action of tall building structure with Maxwell dampers are studied. Structural dynamic integral-differential response equations are established. Then by using transfer function method, the exact solutions of structural transient response in time-domain are obtained by expanding the structure with respect to the first mode. Analytical solution of structural wind-induced random response and equivalent static design wind load of tall building structure with Maxwell dampers are obtained by using random vibration method. Example analysis has proved the validity of the consequence.