层间隔震高层建筑复模态反应谱分析

COMPLEX MODAL RESPONSE SPECTRUM ANALYSIS OF INTER-STORY ISOLATED TALL BUILDING

  • 摘要: 作为基底隔震建筑更广义的结构形式,层间隔震建筑受到越来越多的关注。首先在模态坐标下建立了层间隔震建筑非线性运动方程,基于等效线性化和模态叠加,给出了可预测层间隔震高层建筑地震响应的复模态反应谱分析方法。以高度为125 m的某层间隔震建筑为工程案例,从PEER数据库选取了与规范反应谱匹配的记录地震波,比较了非线性时域分析和等效线性化方法下的楼层响应。分析了结构响应的高阶模态贡献,量化了实模态分析方法造成的响应误差。进一步,评估了基于复模态反应谱的结构地震响应计算方法的有效性。结果表明:实模态强制解耦会低估层间隔震建筑下部结构顶部加速度约35% ,复模态下的完全平方组合法(CCQC)可以较准确地估计位移和剪力。研究为层间隔震建筑地震反应的规范计算提供理论依据。

     

    Abstract: As a generalized structural form of base-isolated buildings, inter-story isolated buildings have received more and more attention. In modal coordinates, the nonlinear equation of motion of the inter-story isolated building is established firstly. Based on the equivalent linearization and complex mode superposition method, the response spectrum analysis method for predicting the seismic response of the inter-story isolated tall building is presented. Taking an inter-story isolated building with height of 125 m as an example and selecting the recorded seismic waves matching the code response spectrum from the PEER databased, the floor seismic responses calculated by the nonlinear time domain analysis and the equivalent linearization method are compared. The contributions of higher modes to structural response are analyzed. The response error caused by the real mode method (forced decoupling approach) is quantified. Furthermore, the effectiveness of the complex modal response spectrum method for the structural seismic response analysis is evaluated. The results show that the forced decoupling approach underestimates the top acceleration of lower structure by about 35%, and the CCQC method provides a good prediction on displacement and shear force. This study provides a theoretical basis for the standardized calculation of seismic response of the inter-story isolated tall building.

     

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