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高层建筑短肢剪力墙结构分析理论的研究

Research of Analytical Theory for Short-leg Shear Wall in Tall Building

【作者】 张军谋

【导师】 李青宁;

【作者基本信息】 西安建筑科技大学 , 结构工程, 2003, 硕士

【摘要】 短肢剪力墙结构体系兼有框架和剪力墙的优点,其建筑功能、结构受力和工程造价均较合理,因此,在高层建筑中越来越得到广泛的应用。但是,目前对这种结构所采用的力学模型和计算方法缺少比较详细的理论和分析研究。 本文在弹性分析中,摒弃了杆模型的平截面假定,考虑了剪滞效应的影响,构造了一新的截面位移模式。利用变分法导出了考虑剪滞效应和剪切变形的控制方程和边界条件,并利用控制方程的解析解为形函数,利用边界条件和刚度法建立了异形截面短肢剪力墙的统一单元刚度矩阵,并利用空间变换原理导出空间刚度矩阵。 本文在弹塑性分析中,采用了考虑剪滞效应的多垂直杆模型,建立了新的断面位移模式,很好地解决了墙肢交结处的位移协调关系,利用最小势能原理导出了短肢剪力墙的弹塑性分析刚度矩阵,讨论了恢复力模型的选取和几何刚度的建立,创造性应用和发展了状态空间法理论。 在本文理论和方法的基础上,用FORTRAN和MATLAB语言研制了相应的分析程序。通过理论分析和算例比较,证明本文方法比较真实的反映了结构的力学性能,计算精度高,结果可靠,可用于结构受力分析。

【Abstract】 In recent years, the structural system of the short-leg shear wall has been extensively applied, because which has the advantage of the frame and shear wall. However, the mechanic models and calculation methods of the structural system are short of relative detailed research of the analytical theory.According to the variation principle, the governing equations and boundary conditions for the elastic analysis of the short-lag shear wall are derived by introducing the new cross displacement function which considers the effect of shear-lag and shear deformation. Based on the boundary conditions and stiff method, the integrated element stiffness matrix is developed, and the spatial stiffness matrix is proposed by spatial transformation.By adopting the Muti-Vertical-Line-Element-Model as the basic element for the elastoplatic analysis, the problem of the shear-lag effect and displacement coordination are considered by introducing the new cross displacement function, Then the elastoplatic analysis stiffness matrix is derived by the principle of minimum potential energy. Finally, the hysteretic model, the geometrical stiffness and the state space method are discussed.Finally, microcomputer-based program is developed. A series of examples are calculated and compared with other models, which show that the model is relative good accurate and reliable.

  • 【分类号】TU973
  • 【被引频次】28
  • 【下载频次】398
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