超高层建筑束筒结构受确定性动力作用的半解析分析
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摘要
将超高层建筑束筒结构与其基础等效连续化为一个支撑在半无限大弹性地基上具有三维连续分布刚度和质量特性的加劲薄壁筒组合体,并以此模型,对其在多维简谐动力作用下的稳态反应进行了半解析分析,并计算出了共振响应,那就是当激励荷载的频率与结构系统的自振频率很接近时,结构的动力响应会出现非常大的突变。计算结果表明:模型的简化是合理的、可行的,从而为超高层建筑束筒结构的整体动力分析提供了一种可行的方法,并给出了几点对此类结构的抗震设计有指导意义的结论。
Super tall building bundled tube structure, together with its foundation and the subgrade is simplified equivalently and continuously into a three-dimensional model, a combination of stiffened-thin-wall tubes on semi-infinite elastic subgrade. The steady-state response of the model subject to multi-dimensional harmonic deterministic dynamic loadings was analyzed by semi-analytical method. The resonant response was found, i.e., step change will occur when the frequency of the excitation load is much close to the natural frequency of the structural system. The numerical results show that the analytical model and the method are effective and reasonable. A practicable method for the dynamic analysis of the super tall building bundled-tube structures is thus investigated. Some reasonable and significant conclusions are also presented.
Super tall building bundled tube structure, together with its foundation and the subgrade is simplified equivalently and continuously into a three-dimensional model, a combination of stiffened-thin-wall tubes on semi-infinite elastic subgrade. The steady-state response of the model subject to multi-dimensional harmonic deterministic dynamic loadings was analyzed by semi-analytical method. The resonant response was found, i.e., step change will occur when the frequency of the excitation load is much close to the natural frequency of the structural system. The numerical results show that the analytical model and the method are effective and reasonable. A practicable method for the dynamic analysis of the super tall building bundled-tube structures is thus investigated. Some reasonable and significant conclusions are also presented.
引文
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[2]包世华.新编高层建筑结构[M].第二版.北京:中国水利水电出版社,2005.Bao Shihua.New edition of tall building structures[M].Second edition.Beijing:China Water Conservancy and Hydropower Press,2005.(in Chinese)
[3]王振宇,刘晶波,汪勇,徐凯,裘建东.超高层多筒巨型柱框架体系动力特性与地震反应研究[J].建筑结构学报,2003,24(1):54~58.Wang Zhenyu,Liu Jingbo,Wang Yong,Xu Kai,Qiu Jiandong.Study on dynamic properties and seismic responses of super high-rise multitube-megacolumn-frame systems[J].Journal of Building Structures,2003,24(1):54~58.(in Chinese)
[4]龚耀清.弹性地基上高层建筑结构及半解析法研究[D].北京:清华大学,1999.Gong Yaoqing.Tall building structures on elastic subgrade and research of semi-analytical method[D].Beijing:Tsinghua University,1999.(in Chinese)
[5]龚耀清,张正维.半无限大弹性地基等效刚度公式及其应用[J].工程力学,2007,24(5):10~16.Gong Yaoqing,Zhang Zhengwei.Formulation of equivalent stiffness for semi-infinite elastic subgrade and its application[J].Engineering Mechanics,2007,24(5):10~16.(in Chinese)
[6]李珂.超高层建筑束筒结构与其基础地基共同工作研究[D].焦作:河南理工大学,2006.Li Ke.Investigation for interactions between the subgrade and the foundation and the superstructure of the bundled-tube structure of super tall buildings[D].Jiaozuo:Henan Polytechnic University,2006.(in Chinese)
[7]王光远.建筑结构的振动[M].北京:科学出版社,1978.Wang Guangyuan.Vibration of building structure[M].Beijing:Science Press,1978.(in Chinese)
[8]Clough R W,Penzien J.Dynamics of structures[M].McGraw-Hill,1995.
[9]龚耀清,孙洪鑫.弹性地基上超高层建筑空间巨型框架受任意确定性动力作用的半解析分析[J].工程力学,2006,23(Sup.Ⅱ):23~31.Gong Yaoqing,Sun Hongxin.Semi-analytical analysis of super tall building space mage-frame structure on elastic subgrade due to arbitrary deterministic dynamic loadings[J].Engineering Mechanics,2006,23(Sup.Ⅱ):23~31.(in Chinese)
[10]袁驷.介绍一个常微分方程边值问题通用程序—COLSYS[J].计算结构力学及其应用,1990,7(2):104~105.Yuan Si.Introduction of a common compute program for boundary problems of ordinary differential equation—COLSYS[J].Computational Mechanics and Application,1990,7(2):104~105.(in Chinese)
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