单自由度“加层”减震结构地震作用取值的复模态法

Complex Mode Method for Earthquake Calculation of Single Degree of Freedom System with TMD and the Add-Layer

运用复模态方法,以我国现行设计反应谱为基础,对单自由度TMD和“加层”减震结构地震响应及地震作用取值问题进行了系统研究。首先用复模态法将非经典阻尼非对称结构运动方程解耦,然后运用随机振动理论获得结构的动力响应解析式,并建立将结构分解为一系列等效单自由度体系的一般方法,继而利用等效单自由度体系与反应谱的对应关系,确定结构动力响应表达式中各参数的取值,建立结构基于反应谱的设计响应及其等效静态地震作用的设计方法,并给出了算例,从而建立了非经典阻尼非对称结构基于反应谱的地震作用取值的一整套方法。

Earthquake response and earthquake action of single degree of freedom structure with TMD and the add-layer is discussed systematically on the basis of actual design response spectrum.Complex model method is used to disconnect the equations with nonclassical damping and non-symmetrical structural features.And the analytical solution of earthequake response is obtained with random earthequake method.The universal scheme is established to resolve the structure into a series of equvalent subsystems.And the earthquake action corresponding to equivalent static force on structure is evaluated by this design,which is exihibited in an exgmple.