基础转动结构随机风振响应分析的复模态法

THE COMPLEX MODE THEORY OF THE RANDOM WIND-INDUCE RESPONSE ANALYSIS OF STRUCTURES WITH FOUNDATION ROTATION

对多自由度基础转动结构随机风振响应问题进行了系统研究。针对用上部结构第一振型展开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情况 ,用线性滤波过程生成脉动风谱 ,用复模态和扩阶法进行解耦 ,获得了等效风谱对应的以第一振型表示的结构响应解析解 ,对单自由度体系 ,此解即为结构响应精确解。该方法可用于带TMD或TLD结构的风振分析和优化设计。

The random wind-induced response of structures with foundation rotation and multi-degree of freedom is studied systematicaly. The dynamic equations are established firstly, then, the upper structure is unfold through the first mode. According to the situation that the demping is the non-classical damping, the structure is non-symmetry, and the wind spectrum is irrational fraction, the wind spectrm is generated by linear filtered process, the dynamic equations are disconnected by the complex mode theory and the expanding rank method. The analytic solution of wind-induced response which is expressed by the first mode and correspond to equivalent wind spectrum is given. The solution is the exact result of the structure with single degree of freedom system. The wind-induced analysis and optimization design of the structures with TMD and TLD can be done by this method.