冲击载荷下加筋板非线性瞬态分析

本文用半解析的方法分析了横向冲击载荷下加筋板的非线性瞬态响应。考虑膜力的存在，忽略筋截面上的剪切应力，引入板的应力函数，采用离散加筋板模型，运用能量原理建立加筋板的动响应控制方程。假设挠度为双级数形式，运用迦辽金法，将加筋板的动响应方程转化为一个多自由度的动力系统，采用数值方法来求解。本文最后给出了几个模型的计算结果。

Transient Responses of Stiffened Plates under Lateral Impact Load by Semi-analytic Method

This paper presents a simple and efficient semi - analytic method to solve the response of stiff-ened plates under lateral impact load. Applying the discrete stiffened plates model, the motion equations ofstiffened plate is deduced using Hamilton's variation principle. Based on the large deformation theory, theyon Karman kinematic relations of the plate and stiffener are considered in the formula. The stress functionsand the deflection of the plate are taken as double Fourier series. The motion equations expressed by deflec-tion are obtained with the Galerkin method, and solved by numerical approach. Examples are given for thenon - linear transient response of stiffened plates tinder lateral impact, and parametric studies are alsoperformed for various stiffener/plate geometric parameters and impact load configurations.