高层斜交网格筒结构最小势能法简化计算研究
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摘要
高层斜交网格筒结构是由交叉布置的斜柱和水平环梁组成的筒体结构,斜柱主要承受轴力作用。通过等效刚度的方法,将高层斜交网格筒结构等效为各向异性板壳模型,用最小势能原理求出等效模型的位移场闭合解。研究结果表明:高层斜交网格筒等效连续化方法求解结构侧移分布精度较高,同时可以得到结构的内力分布;该类结构是弯曲型和剪切型变形的叠加;该类结构具有明显的剪力滞效应;通过等效简化方法可以将三维筒体结构转化为具有等刚度、且不改变内力分布的平面模型。提出的等效连续化简化方法可为高层斜交网格筒体结构进一步研究提供理论参考。
The high-rise diagrid tube structure is composed of diagonal columns and horizontal ring beams. The diagonal columns are mainly subjected to axial forces. The equivalent-stiffness method is used to make the high-rise diagrid tube structure to be an equivalent continuum anisotropic plate-shell model, and the displacement field closed-form solution of the equivalent model is obtained by the principle of minimum potential energy. The results show that the equivalent continuum method for high-rise diagrid tube structure is correct in calculating the structural lateral displacement, and the internal force distribution of the structure can also be obtained. This kind of structure is the superposition of bending and shear deformation. The structure has obvious shear lag effect. By the equivalent simplification method, the three-dimensional tube structure can be transformed into a plane model with equal stiffness and without changing the internal force distribution. The equivalent continuous simplification method proposed can provide a theoretical reference for the further study of high-rise diagrid tube structures.
The high-rise diagrid tube structure is composed of diagonal columns and horizontal ring beams. The diagonal columns are mainly subjected to axial forces. The equivalent-stiffness method is used to make the high-rise diagrid tube structure to be an equivalent continuum anisotropic plate-shell model, and the displacement field closed-form solution of the equivalent model is obtained by the principle of minimum potential energy. The results show that the equivalent continuum method for high-rise diagrid tube structure is correct in calculating the structural lateral displacement, and the internal force distribution of the structure can also be obtained. This kind of structure is the superposition of bending and shear deformation. The structure has obvious shear lag effect. By the equivalent simplification method, the three-dimensional tube structure can be transformed into a plane model with equal stiffness and without changing the internal force distribution. The equivalent continuous simplification method proposed can provide a theoretical reference for the further study of high-rise diagrid tube structures.
引文
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[2]Mele E,Toreno M,Brandonisio G,et al.Diagrid structures for tall buildings:Case studies and design considerations[J].The Structural Design of Tall and Special Buildings,2014,23(2):124―145.
[3]黄超,韩小雷,王传峰,等.斜交网格结构体系的参数分析及简化计算方研究[J].建筑结构学报,2010,31(1):70―77.Huang Chao,Han Xiaolei,Wang Chuanfeng,et al.Parametric analysis and simplified calculating method for diagonal grid structural system[J].Journal of Building Structures,2010,31(1):70―77.(in Chinese)
[4]郭伟亮.高层斜交网格筒结构体系力学性能及地震失效控制研究[D].哈尔滨:哈尔滨工业大学,2011.Guo Weiliang.Mechanical performance and seismic failure control research on high-rise diagrid tube structures[D].Harbin:Harbin Institute of Technology,2011.(in Chinese)
[5]Liu C,Ma K.Calculation model of the lateral stiffness of high-rise diagrid tube structures based on the modular method[J].The Structural Design of Tall and Special Buildings,2017,26:e1333.
[6]Singh Y,Nagpla A K.Negative shear lag in framed-tube building[J].Journal of Structural Engineering,1994,120(11):3105―3121.
[7]Kwan A K H.Simple method for approximate analysis of framed tube structures[J].Journal of Structural Engineering,1994,120(4):1221―1239.
[8]胡海昌.弹性力学的变分原理及其应用[M].北京:科学出版社,1981:139―150.Hu Haichang.Variational principle in elasticity and applications[M].Beijing:Science Press,1981:139―150.(in Chinese)
[9]Maceri A.Theory of elasticity[M].Heidelberg:Springer Berlin Heidelberg,2010:70―79
[10]Smith B S,Coull A.Tall building structures:analysis and design[M].New York:John Wiley and Sons,1991:65―105.