带TMD结构的大阻尼比复振型叠加反应谱法

为了对具有非对称质量矩阵、非对称刚度矩阵和非经典大阻尼矩阵特征的带TMD结构进行更精确并便于工程应用的抗震设计,用大阻尼比复振型叠加设计反应谱法进行了地震响应及效应分析.用复模态法对非经典方程进行解耦,得到了结构地震响应的时域表达式,根据解的复共轭特征和欧拉变换,进一步把地震响应表示为一系列等效单自由度体系位移和速度响应的线性组合,再根据反应谱理论并考虑大阻尼比转换就可以求解带TMD结构基于设计反应谱的地震响应和效应并进行抗震设计.通过一个算例来说明大阻尼比复振型叠加设计反应谱法的应用,计算结果表明:带TMD结构有较好的减震效果.

Complex mode superposition-response spectrum method with large damping ratio for structures with TMD

In order to perform seismic design accurately and conveniently in engineering applications for these structures with TMD,which have the characteristics of nonsymmetrical mass matrix and stiffness matrix as well as non-classical damping matrix,the complex mode superposition-design response spectrum method considering large damping ratio was used to analyze the earthquake responses and effects.The non-classical dynamic equation was decoupled by complex mode theory and then the structural earthquake responses in time domain were obtained.According to the complex conjugation characteristics of solutions and Euler transform,the earthquake responses were expressed further as the combination of displacement and velocity responses of a series of equivalent SDOF systems.Then the earthquake responses and effects of structures with TMD based on designed response spectrum were obtained according to the response spectrum theory and large damping ratio conversion.An example was provided to show the application of the complex mode superposition-design response spectrum method.Results show that the good earthquake-reduced effect can be achieved.