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高层剪力墙结构动力模型建立及地震响应

ISSN号：1672-7207
期刊名称：中南大学学报(自然科学版)
时间：2012
页码：3187-3194
分类：TU352.1[建筑科学—结构工程]
作者机构：[1]广州大学减震控制与结构安全国家重点实验室(培育),广东广州510405, [2]北京工业大学工程抗震与结构诊治北京市重点实验室,北京100124, [3]兰州理工大学西部土木工程防灾减灾教育部工程研究中心,甘肃兰州730050
相关基金：国家自然科学基金资助项目（51008009）;国家自然科学基金重大研究计划资助项目（90815027）：中国博士后科学基金特别资助项目（201104044）
相关项目：重要结构中的敏感设备被动及智能隔震理论与试验研究

关键词：高层结构, 剪力墙, 动力模型, 地震响应, 振型叠加法, tall building, shear wall, dynamic model, seismic response, mode superposition method

中文摘要：

用连续—离散化方法建立地震作用下高层剪力墙结构动力模型,通过分布参数建立剪力墙运动方程,楼层集中质量的影响通过边界条件引入,从而推导出高层剪力墙结构频率方程,然后通过数值方法求得频率及振型。通过应用Betti定律,推导出具有集中分布参数高层剪力墙结构的振型正交条件。建立每层剪力墙与楼层集中质量地震作用下的运动方程,通过引入推导的振型正交条件,进行运动方程的解耦,从而得到广义质量及广义荷载,然后通过振型叠加的方法求得结构的地震响应。通过Simulink对一幢16层剪力墙结构进行动力特性及地震作用下的仿真分析。结果表明：应用本文建立的动力模型及动力响应求解方法进行高层剪力墙结构动力特性与动力响应分析的结果与有限元分析结果基本一致,在不同连梁刚度、不同剪力墙高宽比情况下,本文动力模型及动力响应求解方法计算结构动力特性及地震响应的误差较小,满足应用的要求。

英文摘要：

The dynamic model for tall shear-wall building was presented by continuous-discrete method and the frequency equation of tall shear-wall building was obtained by the vibration theory of system with distributed parameters and introducing the boundary conditions of concentrated parameters, then frequency and mode shape were obtained by the numerical method. On the basis of the Betti law, the orthogonal conditions of modes of tall shear-wall building with concentrated and distributed parameters were deduced. Founding the motion equations of shear wall in each story and concentrated mass of each story under earthquake, the motion equations of tall shear-wall building were decoupled by orthogonal conditions and generalized mass and stiffness were obtained, then the responses of structure under earthquake excitation were solved by the mode superposition method. In order to validate the correctness of constructed dynamic model and the method of solving seismic response for tall shear-wall building, a sixteen-story shear wall building was chosen to analyze dynamic character and seismic response by Simulink simulation. Simulation results show that dynamic characteristic and seismic response obtained by constructed dynamic model and the method of solving seismic response are basically consistent with finite element, and the errors of dynamic character and seismic response obtained by constructed dynamic model and the method of solving seismic response are analyzed in the case of different stiffness of linking beam and different depth-width ratio of shear wall, which can meet the demand of application.

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