弹性圆薄板在随动力作用下的屈曲问题分析

Buckling analysis of elastic circular thin plate subjected to follower forces

取弹性圆薄板内一微元体,建立了圆板在非保守载荷切向均布随动力作用下的轴对称非线性控制方程,考虑周边固支和周边不可移简支两种边界条件,采用打靶法和解析延拓法求解了所得两点边值问题,获得了圆薄板特征值问题的数值解,结果可供工程设计时参考使用.

An element cut out of the circular thin plate is used to derive respectively the non-linear governing equations of axially symmetric circular thin plate with fixed edge and those with pinned edge,which are subjected to tangentially uniformly distributed follower forces. The two-point boundary-value problem is solved. Its numerical solutions are obtained by using shooting method and analytic continuation method, which can be taken reference for engineering design.