Maxwell阻尼耗能隔震结构平稳响应分析

摘要

Smooth response analysis of an isolated structure with a Maxwell damper was carried out systematically. The motion equation of an isolated structure with a Maxwell damper was established, and then the upper structure was expanded according to the first mode. The structural equation of motion was converted to a first-order state equation. The displacement and velocity response of the isolation layer relative to the ground, the displacement and velocity response of the upper structure relative to the isolation layer, and the exact solution of damping force response variance in stationary white noise excitation were obtained using the complex modal method. An example was given. The example showed that damping effect of an isolated structure with a Maxwell damper was better.%为分析设置Maxwell耗能阻尼器的隔震结构的减震效果，对Maxwell阻尼耗能隔震结构平稳响应分析问题进行了系统研究。首先建立Maxwell阻尼耗能隔震结构运动方程；然后将上部结构按第一振型展开，再将结构运动方程转化为一阶状态方程组，用复模态法获得了结构在平稳白噪声地震激励作用下，隔震层相对于地面位移、速度响应方差和上部结构相对于隔震层位移、速度响应方差以及阻尼器响应方差精确解析解，并通过一算例验证了设置Maxwell耗能阻尼器的隔震结构的减震效果更好。