基于复振型分解反应谱方法的消能减震结构水平地震作用计算

Research on horizontal seismic action of energy dissipation structure based on complex mode decomposition response spectrum method

减震结构具有非比例阻尼特性的特点,采用强迫解耦法对其进行振型分解计算时忽略阻尼矩阵非对角元素可能会造成计算精度较低。本文提出了减震结构的复振型分解反应谱方法(CCQC),给出了复振型地震作用的惯性表达公式。基于某消能减震结构工程算例,在三组地震动作用下对比分析了采用复振型分解反应谱方法和实振型分解反应谱法(CQC)结构的层间剪力和层位移响应结果,并使用直接积分法对其进行对比验证。结果表明:消能减震结构反应谱方法中基于复振型地震作用的分析结果相对于时程分析的精度显著高于不考虑非比例阻尼影响的实振型分解方法。

The energy dissipation structure has the characteristics of non⁃proportional damping.When the forced decoupling method is used to calculate the vibration mode decomposition,ignoring the non⁃diagonal elements of the damping matrix may cause low calculation accuracy.In this paper,the complex mode decomposition response spectrum method(CCQC)of energy dissipation structure is proposed,and the inertia expression formula of complex mode earthquake action is given.Based on an engineering example of energy dissipation structure,the inter⁃story shear force and inter⁃story displacement response results of the structure using the complex mode decomposition response spectrum method and the real mode decomposition response spectrum method(CQC)are compared and analyzed under three groups of ground motions,and the direct integration method is used to compare and verify them.The results show that the accuracy of the analysis results based on the CCQC of energy dissipation structure is significantly higher than that of the CQC method without considering the influence of non⁃proportional damping.