高层框架-剪力墙隔震结构地震响应研究
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摘要
针对高层框架-剪力墙基础隔震结构,考虑框架与剪力墙之间的相互作用,建立了高层框架-剪力墙基础隔震结构的动力分析模型,剪力墙为分布参数体系,框架结构为集中参数体系,通过边界条件把隔震支座及框架-剪力墙结构中框架部分对剪力墙的影响引入到分布参数体系,推导出高层框架-剪力基础隔震结构的频率方程及振型正交条件,进一步应用Hamilton原理,推导出隔震层隔震装置作用在各振型上的等效阻尼比,从而实现该体系运动方程的解耦,然后通过振型叠加法求解结构的地震响应。通过对一栋10层框架-剪力墙基础隔震结构进行动力特性及地震响应仿真分析,结果显示,建立的动力分析模型能较好的反映结构的动力特性,提出的高层框架-剪力墙隔震结构动力求解新方法能方便的求解结构的动力响应,与有限元数值积分法基本一致,可以反映地震作用下框架与剪力墙相互作用的经历。
A dynamic model for isolated high-rise frame-shear wall buildings was presented based on the consideration of interaction of frame and shear wall, in which the shear wall is a system with distributed mass and the frame is a system with lumped mass and spring. According to established dynamic model, the effects of isolated devices and the frame structure on the shear wall structure were introduced into a distributed parameter system using boundary conditions, and frequency equation and mode orthogonal conditions were deduced. Then, according to the Hamilton Principle, the equivalent damping ratio in every mode produced by the damping of laminated rubber bearings was derived, and the seismic response of isolated high-rise frame-shear wall buildings can be obtained by the mode superposition method. Finally, a ten-story isolated frame-shear wall building was chosen to analyze dynamic characteristics and seismic response to validate the correctness of the dynamic model and method of solving for seismic response. Simulation results show that the established dynamic model can reflect the dynamic performance of isolated structure well and seismic response of isolated high-rise frame-shear wall buildings can be solved conveniently by the method in this paper, the results of which are basically consistent with those from finite element methods. At the same time, the method deduced can obtain the interaction process of frame structures and shear-wall structures in isolated high-rise frame-shear wall buildings.
引文
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