摘要
本文针对复杂杆系组合结构静动力问题讨论一种简捷有效的数值计算方法——超级有限元法,首先介绍其一般原理,继而针对一大类复杂桁架空间杆系组合结构准三维化处理(用一维变量加以表征),并将其离散成一系列单元,考虑弯曲、剪切、挤压、拉伸压缩、扭转等多种非经典变形效应,通过采用构件端部自由度向超级元自由度的转换而把复杂多构件问题的求解变为少量一维结点变量问题的求解,既达到了简化的目的,又保证了精度,而且可方便地与通常的有限元法结合使用。文中还给出了有关杆系组合结构分析的数值算例。
In this paper,a new numerical computational method called the super FEM(finite elementmethod),being the union of methods of synthetic discrete and the FEM,is proposed for the static anddynamic analyses of various built-up structures with truss member system.The structures,being par-titioned into many one-dimensional non-classical elements,being considered to sustain bending,shearing,tension and compression,extrusion and torsion,is analysed with the FEM.The simplicity,versatility and the accuracy of the proposed method is well demonstrated by numerical examples ofanalyses of complex structures as given in this paper.
出处
《上海力学》
CSCD
1993年第3期31-36,共6页
Chinese Quarterly Mechanics
基金
国家自然科学基金
关键词
超级有限元法
桁架组合结构
super FEM
non—classical deformation effects
built—up structures of truss member system
synthetic dischete method
