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基础隔震结构复振型分解反应谱方法的地震作用及效应组合

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为解决隔震结构的地震作用因非比例阻尼不宜直接采用我国抗震规范加以计算的问题,推导了隔震结构复振型响应的振型参与系数、振型的实数表达形式,基于隔震结构刚度、阻尼、质量矩阵与其动力特征的内在联系,给出了复振型地震作用的惯性表达公式.研究结果表明:隔震结构不考虑非比例阻尼影响时误差较大,其主要原因是忽略了各振型速度响应对振型位移的贡献;考虑非比例阻尼的单个复振型地震作用包含位移分量和速度分量,复振型地震作用的惯性表达公式合理考虑了非比例阻尼和振型速度的影响,在复振型分解时程分析中可以得到精确时程结果,反应谱分析采用CCQC法可以明显改善CQC分析精度,上述基础理论为《建筑隔震设计标准》所采纳.
Seismic action and effect of complex mode decomposition response spectrum method for isolated structures
In order to solve the problem that the seismic action of isolated structures due to non-proportional damping should not be directly calculated by the seismic code of China,the modal participation coefficient and the real number expression of the vibration mode of the complex mode response of the isolated structure are derived.Based on the internal relationship between the stiffness,damping and mass matrix of the isolated structure and its dynamic characteristics,the inertia expression formula of the complex mode seismic action is given.The results show that the error of the isolated structure is large without considering the influence of non-proportional damping,and the main reason is that the contribution of the velocity response of each vibration mode to the vibration mode displacement is ignored.The single complex vibration mode seismic action considering non-proportional damping includes displacement component and velocity component.The inertia expression formula of complex vibration mode seismic action reasonably considers the influence of non-proportional damping and vibration velocity.The accurate time-history results can be obtained in the time-history analysis of complex vibration mode decomposition.The CCQC method can significantly improve the accuracy of CQC analysis in response spectrum analysis.The above basic theory is adopted by the Standard for seismic isolation design of building.

isolated structurenon-proportional dampingseismic actioncomplex vibration moderesponse spectrum method

彭凌云、官亚西、苏经宇、谭平、陈华霆、石路炜、王晨辉

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北京工业大学工程抗震与结构诊治北京市重点试验室,北京 100124

北京工业大学抗震减灾研究所,北京 100124

广州大学工程抗震减震与结构安全教育部重点实验室,广东广州 510405

广州大学广东省地震工程与应用技术重点实验室,广东广州 510405

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隔震结构 非比例阻尼 地震作用 复振型 反应谱法

2024

建筑科学
中国建筑科学研究院

建筑科学

CSTPCD北大核心
影响因子:1.113
ISSN:1002-8528
年,卷(期):2024.40(1)
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