摘要
分析了流固冲击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Budiansky＿Roth(B＿R)曲线。
A simple solution of the dynamic buckling of stiffened plates under fluid-solid impact loading is presented.Based on large deflection theory,a discretely stiffened plate model has been used.The tangential stresses of stiffeners and in-plane displacement are neglected.Applying the Hamilton's principle,the motion equations of stiffened plates are obtained.The deflection of the plate is taken as Fourier series,and using Galerkin method the discrete equations can be deduced,which can be solved easily by Runge-Kutta method.The dynamic buckling loads of the stiffened plates are obtained from B-R curves.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第7期755-762,共8页
Applied Mathematics and Mechanics
关键词
加筋板
非线性
动态屈曲
流固冲击
stiffened plate
nonlinearity
dynamic buckling
fluid-solid impact
