Zhang Tao, Liu Tu-guang, Zhao Yao, Luo Jia-zhi
College of Traffic and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;
J Zhejiang Univ Sci. 2004 May;5(5):609-17. doi: 10.1631/jzus.2004.0609.
This paper presents a simple solution of the dynamic buckling of stiffened plates under in-plane impact loading. 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 form Budiansky-Roth criterion.
本文提出了一种在平面内冲击载荷作用下加劲板动态屈曲的简单解决方案。基于大挠度理论，采用了离散加劲板模型。忽略了加劲肋的切向应力和面内位移。应用哈密顿原理，得到了加劲板的运动方程。将板的挠度取为傅里叶级数，并采用伽辽金法推导出离散方程，该方程可用龙格-库塔法轻松求解。根据布迪安斯基-罗斯准则得到加劲板的动态屈曲载荷。
