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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。
A analytic try-function method is used to construct a wall element suitable for the analysis of the structure of short-limb shear walls and slender beams using the generalized coordination element theory. The unit is established directly in the Cartesian coordinate system. The unit displacement test function uses the analytic solution of the elastic mechanics plane problem. The deformation mode of the short-limbed shear wall and the slender beam is considered, which makes it possesses the high-order displacement field describing ability. The element is simple, easy to implement and insensitive to the distortion of slender rectangular grids. It is suitable for the structural analysis of short-limbed shear walls and slender beams. Unit without special treatment, in line with the requirements of high-performance unit. The numerical example shows that the unit has good anti-distortion performance and high accuracy, and solves the engineering problems urgently to be solved in the structural analysis of high-rise buildings.