隔震结构复振型分解反应谱方法研究

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摘要隔震结构一般具有非比例大阻尼特性，使得复振型分解反应谱方法的研究越来越重要。本文通过隔震结构运动方程考虑非比例阻尼矩阵的耦合影响，根据复模态和平稳随机过程理论提出了隔震结构复振型分解反应谱方法，分别采用瑞利阻尼、振型叠加阻尼系数和阻尼比换算阻尼系数三种方法来组装形成四种不同的非比例阻尼矩阵，并以隔震结构特点分析了阻尼矩阵适用性，随后对比分析了在天然波反应谱作用下，不同阻尼矩阵组装方式下隔震层等效周期、等效阻尼比、对完全平方组合（CQC）和复振型完全平方组合（CCQC）方法计算精度的影响规律，最后基于设计反应谱CQC和设计反应谱CCQC反应谱方法，研究了隔震层不同等效周期和等效阻尼比对隔震结构的楼层位移、楼层剪力和楼层倾覆矩误差影响规律。研究结果表明，阻尼系数方法更适合用于非经典阻尼矩阵的构造，CQC反应谱方法在近场地震下不能准确反映实际响应，且其使用范围受限较多，而CCQC反应谱方法可以很好的反映隔震结果的地震响应。

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关键词 ：隔震结构, 复振型完全平方组合, 非比例阻尼, 反应谱

Abstract：Seismically isolate structures exhibit non-proportional large damping characteristics, which makes the research on the complex mode decomposition response spectrum approach more and more important. In this paper, the coupling effect of the non-proportional damping matrix is considered through the equation of motion of the isolated structure, and the complex mode decomposition response spectrum method is proposed based on the complex mode and stationary random process theory. Four different overall non-proportional damping matrices are assembled according to three methods of Rayleigh damping, mode superposition damping coefficient and damping ratio conversion damping coefficient. The applicability of damping matrix is analyzed according to the characteristics of isolated structure ,Under the natural wave response spectrum of the far field and the near field, the effects of the equivalent period and equivalent damping ratio of the seismic isolation layer under different damping matrix assembly methods on the calculation accuracy of the Complete Quadratic Combination (CQC) and Complex Complete Quadratic Combination (CCQC) methods are analyzed. Finally, based on the design response spectrum CQC and the design response spectrum CCQC response spectrum method, the effect of different equivalent periods and equivalent damping ratios of the isolation layer on the floor displacement, floor shear and floor overturning moment error of the isolation structure is analyzed. The analysis results show that the damping coefficient method is more suitable for the construction of non-classical damping matrix. The CQC response spectrum method cannot accurately reflect the actual response under near-field earthquakes, and its application range is more limited, while the CCQC response spectrum method can well reflect the seismic response of the isolation results.

Key words： Seismic isolation structure；Complex complete quadratic combination Nonclassical damping；Spectrum

收稿日期: 2020-11-26 出版日期: 2022-03-28

引用本文:

杨奎1,2，谭平1,2，陈华霆1,2，李晓磊1,2. 隔震结构复振型分解反应谱方法研究[J]. 振动与冲击, 2022, 41(6): 97-105.
YANG Kui1,2，TAN Ping1,2，CHEN Huating1,2，LI Xiaolei1,2. Complex mode superposition response spectrum approach for isolated structure analysis. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(6): 97-105.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I6/97

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