设置粘滞阻尼器结构的耗能减震分析

Seismic mitigation analysis of adding viscous damper structure

为分析两自由度带支撑粘滞阻尼耗能减震结构的地震响应,建立了结构一般运动方程;在基于现实工程中阻尼器的松弛时间极其微小的情况下,将阻尼器所承担的力近似等效,利用复模态解耦法,将带Maxwell粘滞阻尼器耗能结构展开成两自由度对称质量的非经典阻尼运动方程进行解耦;通过与一些典型问题的模态应变能法及扩阶复模态法所得结果进行比较,以算例验证了该方法的有效性.验证结果表明:通过与传统的求解方法相比,该方法可用于两自由度带支撑粘滞阻尼耗能减震结构的地震响应方差的计算,且具有较高的求解精度,有较大的优越性,建立的阻尼结构分析方法计算也更为简便.

To analyze the seismic response of the structures of two degrees of freedom added viscous dampers with supporting brace, the structural response equations are firstly established. And then, as the relaxation time of the viscous dampers extremely small in practical engineering, the force applied to the damper is equivalent approximation, the energy dissipation structures added Maxwell viscous dampers expand the two vibration modes, the structural response equations with non-classical damping and symmetric mass matrix are approximate decoupled by the complex modal decoupling method. Finally, numerical examples results demonstrate the effectiveness of the method by comparing with the results of some typical problems, and the result is calculated by the modal strain energy and the expansion complex modal method. The Results showed that this method can be used to calculate the mean-square values of the seismic response of energy dissipation structures of two degrees of freedom added viscous dampers with support, and this method have a higher accuracy than and a greater superiority to the conventional solution. This method for calculating the damping structure is also easier to establish.