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.
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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[13]刘文光,刘阳,杨巧荣,等.高层隔震结构单质点模型的地震响应单纯质点法研究[J].振动工程学报,2012,25(6):693―698.Liu Wenguang,Liu Yang,Yang Qiaorong,et al.A study on pure mass model method for seismic response of single mass model of high-rise isolated structure[J].Journal of Vibration Engineering,2012,25(6):693―698.(in Chinese)
[14]潘东辉,于国友,张德强.隔震高层结构的悬臂梁模型的地震反应研究[J].工程力学,2012,29(5):115―121.Pan Donghui,Yu Guoyou,Zhang Deqiang.Earthquake response analysis of cantilever-beam model of isolated high-rise structure[J].Engineering Mechanics,2012,29(5):115―121.(in Chinese)
[15]刘彦辉,杜永峰,谭平,周福霖,闫维明.高层剪力墙复合基础隔震结构地震响应分析[J].工程力学,2011,28(7):143―150.Liu Yanhui,Du Yongfeng,Tan Ping,Zhou Fulin,Yan Weiming.Seismic response analysis on composite base-isolated tall shear wall buildings[J].Engineering Mechanics,2011,28(7):143―150.(in Chinese)
[16]刘彦辉,周福霖,谭平,杜永峰,闫维明.高层剪力墙结构动力模型建立及地震响应研究[J].中南大学学报(自然科学版),2012,2(8):3187―3194.Liu Yanhui,Zhou Fulin,Tan Ping,Du Yongfeng,Yan Weiming.Semi-analytical solution of earthquake effects for frame-shear wall structures[J].Journal of Central South University(Science and Technology),2012,2(8):3187―3194.(in Chinese)
[2]Izuru Takewaki,Kohei Fujita.Earthquake input energy to tall and base-isolated buildings in time and frequency dual domains[J].The Structural Design of Tall and Special Buildings,2009,18(6):589―606.
[3]Kondo Akihiro,Takenaka Yasuo,Suzuki Masayasu,et al.Study on wind-induced response of tall base-isolated buildings with time-history response analysis:Part 3:Evaluation of wind force time-history of 3-direction with change of wind direction[J].Summaries of Technical Papers of the Annual Meeting of the Architectural Institute of Japan.Structures II,Structural dynamics Nuclear Power Plants,2011(7):613―614.
[4]Kondo Akihiro,Takenaka Yasuo,Suzuki Masayasu,et al.Study on wind-induced response of tall base-isolated buildings with time-history response analysis:Part 4:Response analysis results under a wind force time-history of 3-direction[J].Summaries of Technical Papers of the Annual Meeting of the Architectural Institute of Japan.Structures II,Structural Dynamics Nuclear Power Plants,2011(7):615―616.
[5]Calugaru V,Panagiotou M.Seismic response of 20-story base-isolated and fixed-base reinforced concrete structural wall buildings at a near-fault site[J].Earthquake Engineering&Structural Dynamics 2014,43(6):927―948.
[6]Becker T C,Yamamoto S,Hamaguchi H,Higashino M,Nakashima M.Application of isolation to high-rise buildings:A Japanese design case study through a US design code lens[J].Earthquake Spectra 2014,doi:10.1193/052813EQS136M.
[7]周福霖.工程结构减震控制[M].北京:地震出版社,1997:38.Zhou Fulin.Seismic control in engineering structures[M].Beijing:Earthquake Publishing House,1997:38.(in Chinese)
[8]李宏男,王苏岩,贾俊辉.采用基础摩擦隔震房屋高宽比限值的研究[J].地震工程与工程振动,1997,17(3):73―76.Li Hongnan,Wang Suyan,Jia Junhui.A study on limit of ratio of height to width for sliding-type base isolation masonry building[J].Journal of Earthquake Engineering and Engineering Vibration,1997,17(3):73―76.(in Chinese)
[9]祁皑,范宏伟.基于结构设计的基础隔震结构高宽比限值的研究[J].土木工程学报,2007,40(4):13―20.Qi Ai,Fan Hongwei.A structural design study on the limit of height-width ratio of base-isolated structures[J].China Civil Engineering Journal,2007,40(4):13―20.(in Chinese)
[10]程华群,刘伟庆,王曙光.高层隔震建筑设计中隔震支座受拉问题分析[J].地震工程与工程振动,2007,27(4):161―166.Cheng Huaqun,Liu Weiqing,Wang Shuguang.Analysis of the tension of rubber bearings in the design of isolated high-rise buildings[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(4):161―166.(in Chinese)
[11]曲哲,叶列平,潘鹏.高层建筑的隔震原理与技术[J].工程抗震与加固改造,2009,31(5):58―63.Qu Zhe,Ye Lieping,Pan Peng.Theory and techniques of seismic isolation in high-rise buildings[J].Earthquake Resistant Engineering and Retrofitting,2009,31(5):58―63.(in Chinese)
[12]商昊江,祁皑.高层隔震结构设计方法研究[J].福州大学学报(自然科学版),2012,40(1):107―114.Shang Haojiang,Qi Ai.Research on the design method of high-rise isolated structure[J].Journal of Fuzhou University(Natural Science Edition),2012,40(1):107―114.(in Chinese)
[13]刘文光,刘阳,杨巧荣,等.高层隔震结构单质点模型的地震响应单纯质点法研究[J].振动工程学报,2012,25(6):693―698.Liu Wenguang,Liu Yang,Yang Qiaorong,et al.A study on pure mass model method for seismic response of single mass model of high-rise isolated structure[J].Journal of Vibration Engineering,2012,25(6):693―698.(in Chinese)
[14]潘东辉,于国友,张德强.隔震高层结构的悬臂梁模型的地震反应研究[J].工程力学,2012,29(5):115―121.Pan Donghui,Yu Guoyou,Zhang Deqiang.Earthquake response analysis of cantilever-beam model of isolated high-rise structure[J].Engineering Mechanics,2012,29(5):115―121.(in Chinese)
[15]刘彦辉,杜永峰,谭平,周福霖,闫维明.高层剪力墙复合基础隔震结构地震响应分析[J].工程力学,2011,28(7):143―150.Liu Yanhui,Du Yongfeng,Tan Ping,Zhou Fulin,Yan Weiming.Seismic response analysis on composite base-isolated tall shear wall buildings[J].Engineering Mechanics,2011,28(7):143―150.(in Chinese)
[16]刘彦辉,周福霖,谭平,杜永峰,闫维明.高层剪力墙结构动力模型建立及地震响应研究[J].中南大学学报(自然科学版),2012,2(8):3187―3194.Liu Yanhui,Zhou Fulin,Tan Ping,Du Yongfeng,Yan Weiming.Semi-analytical solution of earthquake effects for frame-shear wall structures[J].Journal of Central South University(Science and Technology),2012,2(8):3187―3194.(in Chinese)
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