隔震结构复振型分解反应谱方法研究  

Complex mode superposition response spectrum approach for isolated structure analysis

作　　者：杨奎 谭平[1,2] 陈华霆 李晓磊 YANG Kui;TAN Ping;CHEN Huating;LI Xiaolei(Guangdong Provincial Key Laboratory of Earthquake Engineering and Advanced Technology,Guangzhou University,Guangzhou 510405,China;Key Laboratory of Earthquake Resistance Earthquake Mitigation and Structural Safety Ministry of Education,Guangzhou University,Guangzhou 510405,China)

机构地区：[1]广州大学广东省地震工程与应用技术重点实验室,广州510405 [2]广州大学工程抗震减震与结构安全教育部重点实验室,广州510405

出　　处：《振动与冲击》2022年第6期97-105,共9页Journal of Vibration and Shock

基　　金：国家重点研发计划(2017YFC0703600);国家自然科学基金(51978185,51808154);教育部创新团队研究发展计划(IRT13057);广东省基础与应用基础研究基金(2020A1515011269)。

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。该研究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3种方法来组装形成4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。Seismically isolated structures exhibit non-proportional large damping characteristics.In the paper,the coupling effect of the non-proportional damping matrix was considered by virtue of the equation of motion of the isolated structure,and the complex mode decomposition response spectrum method was proposed based on the complex mode and stationary random process theory.Four different overall non-proportional damping matrices were assembled by using three damping description methods respectively,namely,the Rayleigh damping,mode superposition damping coefficient and damping ratio conversion damping coefficient.The applicability of the damping matrices was analyzed according to the characteristics of the isolated structure.Utilizing the natural wave response spectrums of the far field and the near field,the effects of the equivalent period and equivalent damping ratio of the seismic isolation layer under the condition of different damping matrix assembly methods on the calculation accuracy of the complete quadratic combination(CQC)and complex complete quadratic combination(CCQC)methods were analyzed.Finally,based on the designed response spectrum CQC and the designed response spectrum CCQC,the effects 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 were 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 responses under near-field earthquakes,and its application range is more limited,while the CCQC response spectrum method can well reflect the seismic responses of isolated structures.

关 键 词：隔震结构 复振型完全平方组合(CCQC) 非比例阻尼 反应谱 

分 类 号：TU311.3[建筑科学—结构工程]