地震作用下框架-剪力墙结构动力响应研究
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摘要
针对框架-剪力墙结构中框架与剪力墙相互作用下的地震响应求解问题,建立了高层框架-剪力墙结构的动力分析模型。框架结构部分对剪力墙结构部分的影响通过边界条件的引入,推导出框架-剪力墙结构的频率方程及振型正交条件,进一步对无限自由度框架-剪力墙结构的振动方程进行解耦,推导出框架-剪力墙结构的广义质量及广义荷载,然后通过振型叠加的方法求解结构的地震响应。最后,对一栋10层框架-剪力墙结构进行动力特性及地震响应仿真分析。仿真结果显示,建立的动力模型及地震响应求解的结果与有限元分析结果基本一致,其计算精度满足要求,可以减小计算的工作量。
A dynamic modal was presented to study the arthquake effect on tall frame-shear wall buildings under the interaction of frame structures and shear wall structures.The influence of the part of frame structure to tall frame-shear wall buildings was considered by boundary conditions,and the frequency equation and mode orthogonal conditions of tall frame-shear wall buildings were derived.Then vibration equation of infinite-degrees frame-shear wall buildings was decoupled by these orthogonal conditions and the generalized mass and stiffness were obtained.Therefore,the seismic responses of tall frame-shear wall buildings can be solved by the mode superposition method.In order to validate the correctness of the dynamic modal and the method of solving earthquake effects for tall frame-shear wall buildings,a ten-story frame-shear wall building was chosen to analyze dynamic character and seismic response.Results showed that the dynamic character and seismic response obtained by the dynamic modal and the method of solving seismic response are basically consistent with finite element,the calculation accuracy can meet demand and calculation work can be reduced.
引文
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