李云贵, 聂 祺. 基于解析试函数法的短肢剪力墙单元[J]. 工程力学, 2009, 26(4): 181-186.
引用本文: 李云贵, 聂 祺. 基于解析试函数法的短肢剪力墙单元[J]. 工程力学, 2009, 26(4): 181-186.
LI Yun-gui, NIE Qi. THE SHORT-LEG SHEAR WALL ELEMENT BASED ON THE ANALYTICAL TRIAL FUNCTION METHOD[J]. Engineering Mechanics, 2009, 26(4): 181-186.
Citation: LI Yun-gui, NIE Qi. THE SHORT-LEG SHEAR WALL ELEMENT BASED ON THE ANALYTICAL TRIAL FUNCTION METHOD[J]. Engineering Mechanics, 2009, 26(4): 181-186.

基于解析试函数法的短肢剪力墙单元

THE SHORT-LEG SHEAR WALL ELEMENT BASED ON THE ANALYTICAL TRIAL FUNCTION METHOD

  • 摘要: 采用解析试函数法,利用广义协调元理论构造了一种适合短肢剪力墙和细长连梁结构分析的墙元。该单元直接在直角坐标系内建立,单元位移试函数采用弹性力学平面问题解析解,并考虑了短肢剪力墙和细长连梁的变形模式,使其具备高阶位移场描述能力。该单元列式简单、容易实现,对细长矩形网格畸变不敏感,适合用于短肢剪力墙和细长连梁结构分析。单元无须特殊处理,符合高性能单元的要求。数值算例表明:该单元具有良好的抗畸变性能和较高的计算精度,很好地解决了高层建筑结构分析模型中急待解决的工程问题。

     

    Abstract: Based on the analytical trial function method, a new beam-shell element is developed for the analysis of short-leg shear walls and tie-beams. The proposed element is constructed directly in the Cartesian coordinate system. In order to obtain high-order assumed displacement fields, some basic analytical solutions for elastic planar problems are taken as the trial functions, and the deformation characteristics of short-leg shear walls and tie-beams are also considered. Numerical examples show that the resulting element model possesses better precision in the analysis of various engineering structures of the short-leg shear wall and tie-beam, and it is insensitive to mesh the distortion caused by the aspect ratio. It also demonstrates that the present strategy is an effective way for developing high performance finite element models with simple formulations.

     

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