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对两层带Maxwell阻尼器的耗能减震结构在随机地震响应下进行了系统研究,首先建立了结构运动方程,然后用前两个振型将上部结构展开,因所得结构运动方程的刚度、阻尼均为非对称的,因此采用扩阶复模态方法解耦,获得了结构各层在白噪声激励下的随机地震响应解析解。通过算例分析,对两层框架结构设置阻尼器与未设置阻尼器进行对比,得出了设置阻尼器结构的位移响应方差大大小于未设置阻尼器结构的结论,从而实现了阻尼器耗能减震的目的,并建立了两自由度体系在任意非经典阻尼、非对称刚度下随机地震响应解析解分析的一般方法。
The two layers of energy dissipation structures with Maxwell dampers are studied systematically under random seismic response. The structural equations of motion are established first, and then the superstructure is developed with the first two modes. Because of the stiffness, The damping is asymmetric. Therefore, the decoupling method based on the extended complex mode method is used to obtain the analytic solution of stochastic seismic response under the white noise excitation. Through the example analysis, comparing the two-tier structure with and without damper, it is concluded that the variance of the displacement response of the damper structure is much smaller than that without the damper structure, so that the energy consumption of the damper is reduced The purpose of this paper is to establish the general method of analytic solution of random seismic response under arbitrary non-classical damping and asymmetric stiffness with two degrees of freedom system.