安装粘滞阻尼消能支撑结构随机地震反应分析  

Random earthquake response analysis for an energy dissipation structure adding viscous dampers

作　　者：孙广俊[1] 李爱群[2] 

机构地区：[1]东南大学土木工程学院,南京210096 [2]东南大学混凝土及预应力混凝土结构教育部重点实验室,南京210096

出　　处：《振动与冲击》2009年第10期117-121,共5页Journal of Vibration and Shock

基　　金：国家"十一五"科技支撑计划课题(2006BAJ03A04)

摘　　要：对安装有粘滞阻尼消能支撑的多自由度减震结构基于随机地震动模型的动力反应进行了研究。假定地震地面运动为具有金井清谱的平稳过滤高斯白噪声过程,采用等效线性化的粘滞阻尼器力学模型,建立了粘滞阻尼减震结构在随机地震动模型激励下的动力方程。考虑到粘滞阻尼器附加给结构的阻尼矩阵为非经典阻尼矩阵,不能满足振型正交的解耦条件,将动力方程表达为状态方程形式,在状态空间内运用复模态分析方法和随机振动理论建立了减震结构和减震装置地震反应计算方法,在时域内推导了粘滞阻尼减震结构随机反应的统计特征解析式。最后,通过一个设置粘滞流体阻尼器的框架结构计算实例,说明了这种方法的运用。该方法引入了状态空间的概念,可直接对结构的动力方程进行解耦,求解随机反应的时域解析解,使得减震结构方差反应等统计量的计算非常简便,并且可以为粘滞阻尼减震结构抗震可靠性分析和基于可靠度优化提供基础。The dynamic responses of a multi-degree of freedom seismic reduction structure with a viscous damped brace under a random earthquake motion model were analyzed.The earthquake induced ground motion was assumed to be a zero mean stationary filtered Gaussian white noise process with a Kanai-Tajimi power spectrum.The equivalent linear viscous damping coefficient was considered as the damper parameter for simplicity of analysis and the dynamic equation of the structure with energy dissipation device was established.According to the special situation that the modal equations were coupled through the viscous damping term built into the structure,the motion equation of the structure with viscous dampers under the random earthquake motion model was represented by the state equation.In the state space,the complex mode method and random vibration theory were used to establish the calculation method and deduce the stochastic response analytic solutions of the structure with viscous dampers and energy dissipation device in time domain,respectively.Finally,the proposed method was applied to a frame structure adding viscous fluid dampers.By introducing the conception of state space,the vibration equation of the structure with viscous dampers could be uncoupled and the analytic solution of the variance response of the structure with viscous dampers could be obtained conveniently in time domain.This practical method could provide a basis for reliability assessment and reliability-based optimization of vibration energy dissipation structures with viscous dampers.

关 键 词：粘滞阻尼器 减震 复模态 随机反应 

分 类 号：TU352[建筑科学—结构工程]