弹性非保守简支矩形薄板的后屈曲性态

The Post-Buckling Behavior of Simply-Supported Rectangular Plates under Non-conservative Forces

对弹性非保守简支矩形薄板，从弹性非保守系统有限变形的拟变分原理出发，导出大挠度屈曲的VonKarman方程。用Galerkin法求得二级近似解，得出的初始后屈曲性态是稳定的，从而为工程实际中利用板的后屈曲超载性能提供了理论依据。

Based on the quasi-variational principle of finite deformation in non-conservativesystems, the Von Karman large deflection buckling equations are derived for simply-supportedrectangular plate subjected to non-conservative force. Two-order asymptotic solution is obtainedby Galerkin method. It is shown that initial post-buckling of the plate is stable. The conclusionwill provide theoretical basis for using overload capacity of the large deflection buckling plate inengineering design.