An efficient semi-analytical method is developed, which can perform an analysis of elastic-plastic buckling and collapsing for plates and stiffened plates. Firstly, considering the material and geometric nonlinearity, the incremental forms of the governing differential equations for the system with initial deflection are derived from Hamilton principle, and the strain harmony equations with the incremental forms can be obtained from the relations between the strain increment and the displacement increment. Secondly, these equations are solved for each load increment by the Galerkin method with a special consideration of simply supported boundaries. In addition, the ultimate strength of various plates,and especially for stiffened plates under varying impact load, is investigated.%一种简单的半解析方法用来研究板结构的动态弹塑性屈曲及失效.考虑材料和几何非线性,忽略面内位移和面内惯量,运用能量变分原理以及增量伽辽金方法得到面内流固冲击载荷下板以及加筋板的弹塑性动态屈曲增量控制方程,采用数值方法求解,并通过算例分析了几何参数以及冲击载荷的影响.
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