用于细长连梁有限元分析的梁式壳元研究

Study on Beam-Shell Element for Finite Element Analysis of Slender Coupled Beam

采用解析试函数单元构造方法构造了一种用于细长连梁有限元分析的梁式壳元。该单元直接在直角坐标系内建立,单元位移试函数的基函数采用弹性力学平面问题解析解并考虑了细长连梁的变形模式,在单元之间采用广义协调理论。采用该方法构造的梁式壳元具备高阶位移场描述能力,单元列式简单,对细长矩形网格畸变不敏感,符合高性能壳元的要求。算例表明:该单元具有较高的计算精度,解决了细长连梁有限元分析模型这个待解决的工程问题。

Based on the analytical trial function method, a new beam-shell element is developed for the analysis of slender coupled 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 plane problems are taken as the trial functions, and the deformation characteristics of slender coupling beams are also considered. Nunmrical examples show that the resulting element model possesses better precision in the analysis of various engineering structures of short-leg shear wall and tie-beam, and is insensitive to mesh distortion caused by aspect-ratio. It also demonstrates that the present strategy is an effective way for developing high performance finite element models with simple formulations.