摘要
根据非线性协调有限元列式方法,构造了几何非线性拟协调9结点四边形退化壳有限元。首先给出9结点四边形退化壳单元的几何描述和位移模式;接着讨论了非线性协调有限元列式方法;假设应力和应变;然后用所构造的壳单元,进行了方板、圆拱、球壳和圆柱壳的数值分析,并同精确解以及其他单元的解答进行了比较。结果表明本文壳单元是准确的和有效的。
A geometrical nonlinear quasi-conforming nine-node quadrilateral degenerated shell element is constructed, based upon the nonlinear quasi-conforming finite element method. First, the geometrical description and displacement model of the nine-node quadrilateral degenerated shell element are given. Then, the nonlinear quasi-conforming finite element method is discussed and the assumptions for stress and strain are given. Last, the numerical calculations for a square plate, a circular arch, a spherical shell and two cylindrical shells are carried out with the constructed shell element. The results are compared with exact and other finite elements' solutions, which indicates that the shell element is accurate and efficient.
出处
《航空学报》
EI
CAS
CSCD
北大核心
1993年第9期A475-A482,共8页
Acta Aeronautica et Astronautica Sinica
关键词
拟协调有限元
非线性
板
壳
the quasi-conforming finite element, nonlineanty, plates, shells
