Firstly, according to the complex mode analysis theory of random vibration, high-rise structures are discretized to multiple degrees of freedom system. The formulas are attained, which are employed to calculate the response of the structure-MTMD subjected to pulsating wind load.

首先，本文采用随机振动的复模态理论，将高耸结构离散成多自由度体系，推导了在脉动风荷载作用下的结构—MTMD系统的风振响应计算公式。

According to the theory, aiming at principally the effect of ground motion that earthquake causes,this thesis analyze non-proportional damped structure theoretically, raising an approach that calculate the displace of every story and between-store by complex mode shapes spectrum splice.

并以此为理论基础,主要针对在地震地面运动影响下,对非比例阻尼结构进行理论分析和公式推导,提出了运用复振型反应谱叠加计算多层结构楼层位移及层间位移的方法。