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受面内冲击载荷下加筋板的非线性动态屈曲
引用本文:张涛,刘土光,周晶晶,刘敬喜.受面内冲击载荷下加筋板的非线性动态屈曲[J].固体力学学报,2003,24(4):391-398.
作者姓名:张涛  刘土光  周晶晶  刘敬喜
作者单位:1. 华中科技大学交通学院,武汉,430074
2. 武汉市军械士官学校,武汉,430074
摘    要:分析了受面内冲击载荷下加筋板的非线性弹性动态屈曲.考虑板与筋的膜力,忽略面内位移,运用Hamilton变分原理,得出非线性控制方程,采用双级数形式的挠度假设,由Galerkin方法得到离散方程组,根据B-R准则,判断加筋板的动态屈曲.

关 键 词:加筋板  冲击载荷  动态屈曲  哈密顿变分原理  挠度  固体力学  应力函数
修稿时间:2001年12月10

NONLINEAR DYNAMIC BUCKLING OF STIFFENED PLATES UNDER IN-PLANE IMPACT LOADING
Zhang Tao,Liu Tuguang,Zhou Jingjing,Liu jingxi.NONLINEAR DYNAMIC BUCKLING OF STIFFENED PLATES UNDER IN-PLANE IMPACT LOADING[J].Acta Mechnica Solida Sinica,2003,24(4):391-398.
Authors:Zhang Tao  Liu Tuguang  Zhou Jingjing  Liu jingxi
Institution:Zhang Tao1 Liu Tuguang1 Zhou Jingjing2 Liu jingxi1
Abstract:This paper presents a solution of the nonlinear dynamic buckling of stiffened plates under fluid-solid impact loading. Based on the larger deflection theory and the discretely stiffened plate model, the tangential stresses of the stiffeners and in-plane displacement are neglected, and then applied to the Hamilton's principle, the motion equations of stiffened plates are obtained at last. The deflection of the plate is taken as Fourier series, and the discretely equations can be got by the Galerkin method, which can be solved easily by runge-kutta method. The dynamic buckling loadings of the stiffened plates are obtained based the B-R criterion.
Keywords:stiffened plate  nonlinear  dynamic buckling  in-plane impact loading
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