高层建筑TMD风振控制分析的复模态法

本文对带TMD的高层建筑风振响应问题进行了系统研究。首先建立了运动方程，然后用第一振型将主体结构展开，针对所得方程为非经典阻尼和非对称结构以及脉动风谱为非有理分式风谱的情况，用线性滤波过程生成脉动风谱，用复模态理论和扩阶法进行解耦，获得了等效风谱对应的以第一振型表示的结构风振响应的解析解。本文方法可用于带TMD结构的风振与抗风可靠度分析以及基于可靠度约束的抗风优化设计。

Complex Mode Theory Used for Random Wind-induced Response of Structures with TMD

In the paper,the random wind-induced response of tall buildings with tuned mass dampers is studied systematically.The dynamic equations are established and the main structure is expanded with respect to the first mode.In accordance with the situation that the damping is non-classical damping and the random wind spectrum is of irrational fraction character,the random wind spectrum is generated by using linear filtering process and the dynamic equations are decoupled by complex mode theory and expanding rank approach.The analytic solution of wind-induced response which is expressed by the first mode shape and corresponds to equivalent wind spectrum is given out.The wind-induced response analysis and optimization design of structures with TMD can be conducted accordingly through this procedure.