摘要
采用离散 Kirchhoff 假定的四边形板弯曲元和它的一种改进单元进行板的稳定分析。推出了这2个单元的几何刚度矩阵。实例计算表明,这两种板单元在用于稳定分析时,都能够得到相当满意的精度。
Two thin-plate bending elements,the quadrilateral thin-plate bending element based on discrete Kirchhoff assumption and an improved discrete Kirchhoff quadrilateral thin-plate bending element,are used for stability analysis of thin-plate.By means of the displacement interpolating function of the two elements,their geometrical stiffness matrices are derived. Numerical examples are presented comparing the two elements with some other thin-plate bending elements for some typical stability problems.The numerical results show that quite acceptable accuracy is available for sta- bility analysis by using the two thin-plate bending elements.
关键词
板材
有限元
稳定性
四边形
finite element method
plate
stability
