一种耗能剪力墙结构地震反应的简化计算方法

本文用哈密顿原理建立了一种带竖缝耗能剪力墙结构在地震作用下的动力平衡方程，用Ritz法求解该方程，采用基于割线刚度和阻尼比等概率 幅值平均的等效线性方法求解竖缝中的耗能装置的刚度和阻尼比，并通过对一耗能剪力墙结构模型振动台试验的计算分析表明了该方法计算简单，且有较好的计算精度，为便于工程应用，对由耗能装置提供给结构的附加阻尼进行强行解耦，用振型分解反应谱的方法进行耗能结构地震反应的简化计算，并通过对一算例的计算分析表明了该简化方法具有一定的精度，该简化方法使对耗能结构的抗震计算与普通结构比较一致，该方法主要适用于小震作用下的耗能结构的抗震计算。

A Simplified Method to Calculate Earthquake Response for a Type of Energy Dissipation Shear Wall

By use of Hamilton theory, the dynamic equilibrium equations were established for the energy dissipation shear wall structures with vertical slit under earthquake, which were solved by Ritz method. The equivalent linearization method based on the secant stiffness and the average amplitude of damping ratio with the same probability was used to calculate the stiffness and the damping ratio of the energy dissipation devices. The calculation results of a shaking table test for the model of the slit shear wall show that this method is simple and has enough precision. To be convenient in engineering application, the additional damping ratio afforded by the energy dissipation devices was decoupled, and the method of response spefltrum by mode superposition was used to calculate the seismic response. The sufficient precision in this simplified method is shown by a calculating example. The seismic calculation of the energy dissipation structures is identical to that of the ordinary structures by this method which is appropriate to the seismic calculation of the energy dissipation structures under small earthquakes.