摘要
本文构造了一种半解析板－梁超级元，它由板－梁超级弯曲元与板－梁超级平面元组合成。由于采用解析型的梁函数作为超级元弯曲位移模式，因而这一超级元具有精度高、自由度少的优点。用超级元法对由大量板和梁构件组成的复杂结构进行整体分析、尤其是进行动力分析时，这一超级元是一种高效的单元。文中导出了这一超级元的全部列式。
A semi-analytical Plate-beam super-element is developed in this paper.It is composed of plate-beam super-dement of bending and plate-beam super-eiement of plane stress,The mode shape functions for beams are used as the displacement functions of super-element of bending,the developed super-eiement has the merits of high accuracy and less degrees of freedom. It is a highly efficient super-element for the overall analysis,especially for dynamic analysis,of large complex structures with a great lot of plate and beam members.All the matrices of this super-element are derived herein.
关键词
有限元
半解析法
超级元
板梁超级元
工程力学
finite element/semi-analytical method
super-element
plate-beam super-element
