分析薄板结构后屈曲平衡路径的有限元增量渐近法

本文以 Thompson 一般稳定性理论为基础,建立了分析薄板结构后屈曲平衡路径的有限元增量渐近法的一般过程,计算了多种边界条件下矩形板的初始分支点性态及初始后屈曲平衡路径,并对薄板进行了模型试验.计算和试验结果表明,该方法具有较高的精度和较少的计算量,兼备了迭代法和渐近摄动法的优点.

A Finite Element Asymptotic Method Combined with Incremental Approach Analysing the Postbuckling Equilibrium Path of Plates

In this paper an asymptotic method based on Thompson's general sta- blity theory combined with the incremental approach is presented to analyse the linear or nonlinear pre-buckling state and critcal point behavior,and then to initiate and trace the postbuckling equilibrium path of elastic structr- es.The rectangular plates with different boundary conditions are studied as examples of applying this method.Experiments of the rectangular plates with diffferent B.C.have also been made.The coincidence of analytical results with the experimental ones shows the accurecy and efficiency of the method presented.