基于欧进萍谱的广义Maxwell耗能结构随机响应简明解法

针对设置广义Maxwell阻尼器多自由度耗能结构在欧进萍谱激励下响应分析较复杂的问题,提出了一种求解系统响应简洁的解析解法.将广义Maxwell阻尼器本构方程、原结构运动方程与欧进萍谱滤波方程联立,重构结构运动方程;采用复模态法将其解耦,得到结构位移及结构速度、层间位移及层间速度、阻尼器受力及其变化率等响应基于白噪声激...

A concise analytic solution to seismic response of structure with generalized Maxwell dampers under Ou Jinping spectrum excitation

To address the complexity of the seismic responses analysis of multiple-storey structure with generalized Maxwell dampers under Ou Jinping spectrum excitation, a concise analytic solution was proposed. Firstly, the structural equation of motion was reconstructed by associating the constitutive equations of the generalized Maxwell dampers, the original structural equation and the Ou Jinping spectrum filter equations. Then, the system was decoupled by using the complex mode method, the uniform Duhamel integral expressions based on white noise excitation for the dynamic responses of absolute displacement and absolute velocity, inter-storey displacement and inter-storey velocity, damping force and damping force change rate were obtained. Finally, according to the Wiener-Khinchin relationship between the power spectrum density function and covariance function, the concise analytic solution of the spectral moments for the structure and damper were obtained.After comparing with the pseudo excitation method, the result showes the correctness of the proposed method which has an advantage of higher computational efficiency.