摘要
本文利用广义协调三角形板单元来分析任意形状弹性薄板的大挠度问题，根据广义协调三角形单元ＴＧＣ－９的位移模式，在Ｔ．Ｌ．．坐标系下给出了其几何非线性切线刚度矩阵的列式，通过对固支及简支方板、固支圆板及椭圆板的大挠度数值分析，验证了几何非线性广义协调板单元具有列式简单、精度高及收敛快的优点．
In this paper the generalized conforming triangle element is introduced to analyze the large deflection of elastic thin plate. Based on the displacement function of generalized conforming triangle element TGC-9, the geometrically nonlinear formulation of the element is Presented. The numerical analysis of clamped and simple supported square plate, clamped circular plate and elliptical plate Proves that the geometrically nonlinear generalized conforming element has the character of simple formulation, accuracy and convergence.
出处
《工程力学》
EI
CSCD
1996年第4期9-19,共11页
Engineering Mechanics
基金
河北省自然科学基金
关键词
广义协调
几何非线性
弹性薄板
generalized conforming
geometrically nonlinear
elastic thin plate
