高层剪力墙复合基础隔震结构地震响应分析
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摘要
针对高层剪力墙结构基础隔震问题,研制出双向抗拔滑动装置,与叠层橡胶隔震支座共同使用形成复合隔震系统。通过建立高层剪力墙复合基础隔震结构动力分析简化模型,推导出高层剪力墙复合基础隔震结构的频率方程、振型正交条件、广义质量与广义刚度。根据Hamilton原理,推导出橡胶隔震支座阻尼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,通过振型叠加法进行高层剪力墙复合基础隔震结构地震响应的求解。通过对一16层的剪力墙复合基础隔震结构应用该文动力分析模型及地震响应求解算法进行地震响应分析,该复合隔震体系能够有效的减小上部结构的地震响应,且设计的抗拔滑动装置能够有效的抵抗倾覆力矩在隔震层产生的拉力,同时该文建立的动力分析模型及地震响应求解算法与有限元数值积分法基本一致,说明对高层剪力墙复合基础隔震结构建立的动力分析模型及地震响应求解算法是正确的。
In base-isolated tall shear wall buildings,the bidirectional anti-pulling sliding device is used to resist tension and bear pressure.In this paper,it was developed and used together with the laminated rubber bearing to form a composite base-isolation system.Based on the established dynamic mechanical model of this base-isolated system,the frequency equation,mode orthogonal conditions,generalized mass and stiffness were deduced.According to the Hamilton principle,the equivalent damping ratio in each mode produced by the damping of laminated rubber bearings was derived.Therefore,the seismic response of base-isolated tall shear wall buildings can be solved by the modal superposition method.The seismic response of a sixteen-story base-isolated shear wall building was obtained by establishing a dynamic model and carrying out analysis against that model,demonstrating that this composite isolated system has an obvious function of shock absorption,thus the bidirectional anti-pulling sliding device can resist tension produced by over-turning moment.In addition,the seismic response obtained through the established dynamic model in this paper was basically consistent with that by numerical integration solution of FEM,showing the correctness of the established dynamic model and the solving method.
In base-isolated tall shear wall buildings,the bidirectional anti-pulling sliding device is used to resist tension and bear pressure.In this paper,it was developed and used together with the laminated rubber bearing to form a composite base-isolation system.Based on the established dynamic mechanical model of this base-isolated system,the frequency equation,mode orthogonal conditions,generalized mass and stiffness were deduced.According to the Hamilton principle,the equivalent damping ratio in each mode produced by the damping of laminated rubber bearings was derived.Therefore,the seismic response of base-isolated tall shear wall buildings can be solved by the modal superposition method.The seismic response of a sixteen-story base-isolated shear wall building was obtained by establishing a dynamic model and carrying out analysis against that model,demonstrating that this composite isolated system has an obvious function of shock absorption,thus the bidirectional anti-pulling sliding device can resist tension produced by over-turning moment.In addition,the seismic response obtained through the established dynamic model in this paper was basically consistent with that by numerical integration solution of FEM,showing the correctness of the established dynamic model and the solving method.
引文
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[2]付伟庆,刘文光,王建.高层隔震结构的等效简化模型研究[J].地震工程与工程振动,2005,25(6):141―145.Fu Weiqing,Liu Wenguang,Wang Jian.Research on equivalent simplified model of high-rise isolated structure[J].Journal of Earthquake Engineering and Engineering Vibration,2005,25(6):141―145.(in Chinese)
[3]Pourzeynali S,Zarif M.Multi-objective optimization of seismically isolated high-rise building structures using genetic algorithms[J].Journal of Sound and Vibration,2008,311:1141―1160.
[4]Jain S K,Thakkar S K.Effect of superstructure stiffening in base isolated tall buildings[J].Journal of the Institution of Engineers(India),2004,85(8):141―148.
[5]陈海泉,李忠献,李延涛.应用形状记忆合金的高层建筑结构智能隔震[J].天津大学学报,2002,35(6):761―765.Chen Haiquan,Li Zhongxian,Li Yantao.Intelligent isolation of high-rise building structures applying shape memory alloys[J].Journal of Tianjin University,2002,35(6):761―765.(in Chinese)
[6]付伟庆,王焕定,刘文光.LRB隔震结构模型振动台试验研究(1)[J].哈尔滨工业大学学报,2007,39(2):125―130.Fu Weiqing,Wang Huanding,Liu Wenguang.An experimental study on shaking table of isolated structure model with LRB(1)[J].Journal of Harbin Institute of Technology,2007,39(2):125―130.(in Chinese)
[7]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)
[8]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)
[9]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)
[10]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)
[11]杜永峰,刘彦辉,李慧.电气设备支架串联隔震体系地震响应半解析法[J].力学学报,2009,41(3):440―448.Du Yongfeng,Liu Yanhui,Li Hui.Semi-analytical solution of seismic response of serially isolated equipment and supporter[J].Chinese Journal of Theoretical and Applied Mechanics,2009,41(3):440―448.(in Chinese)
[12]杜永峰,刘彦辉,李慧.带分布参数高压电气设备地震响应半解析法[J].工程力学,2009,23(3):182―188.Du Yongfeng,Liu Yanhui,Li Hui.Seismic response of high-voltage equipments based on semi-analytical method[J].Engineering Mechanics,2009,26(3):182―188.(in Chinese)
[13]周坚.高层建筑结构力学[M].北京:机械工业出版社,2006.Zhou Jian.Tall building structure mechanics[M].Beijing:China Machine Press,2006.(in Chinese)
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