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.
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
[1]程选生,何晴光,刘彦辉.高层建筑结构设计理论[M].北京:机械工业出版社,2010.
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[13]Howson W P.Global analysis:back to the future[J].TheStructural Engineer,2006,84(3):18-21.
[14]Du Yongfeng,Liu Yanhui,Li Hui.Semi-analytical solutionof seismic response of serially isolated equipment and sup-porter[J].Chinese Journal of Theoretical and Applied Me-chanics,2009,41(3):440-448.[杜永峰,刘彦辉,李慧.串联电气设备支架隔震体系地震响应半解析法[J].力学学报,2009,41(3):440-448.]
[15]Du Yongfeng,Liu Yanhui,Li Hui.Seismic response ofhigh-voltage equipments based on semi-analytical method[J].Engineering Mechanics,2009,26(3):182-188.[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.]
[2]Zhao Xi’an,Qian Yuqing.Multimass system for dynamic re-sponse analysis of tall building structures[J].Acta Mechani-ca Solida Sinica,1982,4(8):442-448.[赵西安,钱庾青.高层建筑结构分层模型弹塑性动力分析[J].固体力学学报,1982,4(8):442-448.]
[3]Shen Pusheng,Liu Yang,Meng Huanling.Meng huanling.calculation method of torsion effect in frame-shear wallstructures[J].Journal of Chongqing Jianzhu University,2007,29(1):61-64.[沈蒲生,刘杨,孟焕陵.框架-剪力墙结构扭转计算方法[J].重庆建筑大学学报,2007,29(1):61-64.]
[4]Cheng Zhihui,Zhang Junsheng.Dynamic calculating modelsof high-rise building structures with basements[J].Journalof South China University of Technology:Natural Science,2005,33(6):89-93.[程志辉,张俊胜.带地下室高层结构的动力计算模型[J].华南理工大学学报:自然科学版,2005,33(6):89-93.]
[5]Pei Xingzhu,Li Xuehuan.Comparative study on seismic re-sponses of fame-shear wall structure analysis models[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2008,22(16):18-22.[裴星洙,黎雪环.框架-剪力墙结构分析模型的地震响应比较研究[J].江苏科技大学学报:自然科学版,2008,22(16):18-22.]
[6]Li Q S,Fang J Q,Jeary AP,et al.Calculation of vertical dy-namic characteristics of tall buildings with viscous damping[J].J Solid Structures,1998,35(24):3165-3176.
[7]Liu Wenfeng,Gao Linyan,He Yu’ao.Optimization of shearwall structure with energy dissipation devices[J].Engineer-ing Mechanics,2005,22(3):97-101.[刘文锋,高丽燕,何玉敖.消能减震剪力墙结构体系的最优设计[J].工程力学,2005,22(3):97-101.]
[8]Aksogan O,Bikce M,Emsen E,et al.A simplified dynamicanalysis of multi-bay stiffened coupled shear walls[J].Engi-neering Softwear,2007,38(8):552-560.
[9]Topkaya C,Can Ozan Kurban.Natural periods of steel plateshear wall systems[J].Journal of Constructional Steel Re-search,2009,65(3):542-551.
[10]Tarjang G,Kollar L P.Approximate analysis of buildingstructures with identical stories subjected to earthquakes[J].International Journal of Solids and Structures,2004,41(6):1411-1433.
[11]Rafezy B,Howson W P.Vibration analysis of doubly asym-metric,three-dimensional structures comprising wall andframe assembles with variable cross-section[J].Journal ofSound and Vibration,2008,318(2):247-266.
[12]Kuang J S,Ng S C.Coupled lateral-torsion vibration ofasymmetric shear-wall structures[J].Thin-Walled Struc-tures,2000,38(2):93-104.
[13]Howson W P.Global analysis:back to the future[J].TheStructural Engineer,2006,84(3):18-21.
[14]Du Yongfeng,Liu Yanhui,Li Hui.Semi-analytical solutionof seismic response of serially isolated equipment and sup-porter[J].Chinese Journal of Theoretical and Applied Me-chanics,2009,41(3):440-448.[杜永峰,刘彦辉,李慧.串联电气设备支架隔震体系地震响应半解析法[J].力学学报,2009,41(3):440-448.]
[15]Du Yongfeng,Liu Yanhui,Li Hui.Seismic response ofhigh-voltage equipments based on semi-analytical method[J].Engineering Mechanics,2009,26(3):182-188.[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.]
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