加筋板弹性大挠度的冲击响应分析

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。最后给出了几个模型的计算结果。

Large Deflection Dynamic Response of Stiffened Plates under Lateral Impact Loading

This paper presents a new solution of the large deflection dynamic response of stiffened plates under lateral impact loading. Based on the large deflection theory and the discretely stiffened plate model, the tangential stresses of the stiffeners are neglected, and nonlinear membrane forces of the stiffeners are taken into account. Then introducing the stress functions of plates, and the deflection of the plate is taken as Fourier series. The motion equations of stiffened plates are obtained at last, and solved by Runge Kutta method.