安装粘滞阻尼消能支撑结构随机地震反应分析

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (10) : 117-121.

论文

安装粘滞阻尼消能支撑结构随机地震反应分析

孙广俊;李爱群

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RANDOM EARTHQUAKE RESPONSE ANALYSIS FOR ENERGY DISSIPATION STRUCTURE WITH ADDING VISCOUS DAMPER

SUN Guang-jun;LI Ai-qun

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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。

Abstract

The dynamic responses of multi-degree of freedom seismic reduction structure with viscous damped brace under the random earthquake motion model are analyzed. The earthquake induced ground motion is assumed to be a zero mean stationary filtered Gaussian white noise process with a Kanai-Tajimi power spectrum. The equivalent linear viscous damping coefficient is considered as the parameter of damper for simplicity of analysis and the dynamic equation of structure with energy dissipation device is established. According to the special situation that the modal equation become coupled through the viscous damping term built into structure, the motion equation of the structure with viscous damper under the random earthquake motion model is represented by the state equation. In the state space, the complex mode method and random vibration theory are used to establish the calculation method and deduce the stochastic response analytic solutions of structure with viscous damper and energy dissipation device in time domain，respectively. Finally, the proposed method is applied to a frame structure with adding viscous fluid dampers. By introducing the conception of state space, the vibration equation of structure with viscous damper can be uncoupled and the analytic solution of variance response of structure using viscous damper may be obtained conveniently in time domain. This practical method can provide a basis for reliability assessment and reliability-based optimization of vibration energy dissipation structure with viscous damper.

导出引用

孙广俊;李爱群. 安装粘滞阻尼消能支撑结构随机地震反应分析[J]. 振动与冲击, 2009, 28(10): 117-121

SUN Guang-jun;LI Ai-qun. RANDOM EARTHQUAKE RESPONSE ANALYSIS FOR ENERGY DISSIPATION STRUCTURE WITH ADDING VISCOUS DAMPER[J]. Journal of Vibration and Shock, 2009, 28(10): 117-121

中图分类号： TU352