设置多道加强层的框-筒结构侧移分析方法
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摘要
将设置若干加强层的框-筒结构分解为若干子结构,同时考虑加强层梁、核心筒、外框柱及普通楼层梁,并将楼层梁按连续化分析的方法等效为沿高度均匀分布的离散杆件,根据顶部设置加强层的子结构在水平荷载作用下各构件应变能总和的表达式,利用最小势能原理和泛函变分的相关理论,推导出了顶部设置加强层框-筒结构在水平荷载作用下的侧移解析表达式,并可据此进一步计算设置多道加强层框-筒结构的侧移。
This paper is mainly about the analysis of high-rise frame-tube structure with strengthened stories,which can be simplified into some substrucrures on the principle of superposition,and proposes a new displacement calculating method under lateral load.From the expression of strain energy yielded by considering the contribution of the floor beam which is simplified as continuous medium along the height using continuum theory and taking the shear deformation of strengthened girders,core wall,floor beams,and columns into account,use the minimum potential energy principle,functional and variation approach,finally obtains the analytic expression of the swing of framed-tube structure with topstrengthened stories in terms of the height.This conclusion supplies much convenience to check the sidesway and get the internal forces of such structure under lateral loads.
This paper is mainly about the analysis of high-rise frame-tube structure with strengthened stories,which can be simplified into some substrucrures on the principle of superposition,and proposes a new displacement calculating method under lateral load.From the expression of strain energy yielded by considering the contribution of the floor beam which is simplified as continuous medium along the height using continuum theory and taking the shear deformation of strengthened girders,core wall,floor beams,and columns into account,use the minimum potential energy principle,functional and variation approach,finally obtains the analytic expression of the swing of framed-tube structure with topstrengthened stories in terms of the height.This conclusion supplies much convenience to check the sidesway and get the internal forces of such structure under lateral loads.
引文
[1]袁兴隆.高层建筑加强层的研究与应用分析[J].贵州工学院学报,1995,24(2):28~33.
[2]Stafford Smith B,Coull A.高层建筑结构分析与设计[M].陈瑜,龚炳年,译.北京:地震出版社,1993.
[3]刘建新.水平加强层减小高层建筑结构侧移的机理分析[J].烟台大学学报,1997,10(2):137~143.
[4]袁兴隆,张誉.高层建筑伸臂的最佳位置分析[J].四川建筑科学研究,1996,(1):15~18.
[5]朱杰江,宋健,王颖,等.带加强层框架-芯筒结构的优化研究[J].南京建筑工程学院学报,2001,(3):26~31.
[6]周春圣,张仲先,夏凯,等.顶部设置加强层框-筒结构在水平荷载作用下应变能分析[J].武汉理工大学学报,2006,28(3):86~88.
[7]吴迪光.变分法[M].北京:高等教育出版社,1987.
[8]唐家祥.结构稳定理论[M].北京:中国铁道出版社,1989.
[2]Stafford Smith B,Coull A.高层建筑结构分析与设计[M].陈瑜,龚炳年,译.北京:地震出版社,1993.
[3]刘建新.水平加强层减小高层建筑结构侧移的机理分析[J].烟台大学学报,1997,10(2):137~143.
[4]袁兴隆,张誉.高层建筑伸臂的最佳位置分析[J].四川建筑科学研究,1996,(1):15~18.
[5]朱杰江,宋健,王颖,等.带加强层框架-芯筒结构的优化研究[J].南京建筑工程学院学报,2001,(3):26~31.
[6]周春圣,张仲先,夏凯,等.顶部设置加强层框-筒结构在水平荷载作用下应变能分析[J].武汉理工大学学报,2006,28(3):86~88.
[7]吴迪光.变分法[M].北京:高等教育出版社,1987.
[8]唐家祥.结构稳定理论[M].北京:中国铁道出版社,1989.
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