轴向冲击下柱形壳局部和整体动力屈曲

对轴向受压冲击荷载下,柱形壳局部和整体屈曲进行研究。引进哈密尔顿系统,通过哈密尔顿二元方程,采用4对对偶变量,对系统中的基础问题进行数学描述,并归纳为临界荷载的特征值和特征解问题。通过各自的阶数对屈曲模式进行描述,将其分为两类:短波或局部屈曲以及长波或整体屈曲,得到解析与数值的解决方案并给出了一些规则。

Dynamic Local and Global Buckling of Cylindrical Shells Under Axial Impact

In this paper, the local and global buckling of cylindrical shells under axial, compressive impact loads is studied. A Hamiltonian system is introduced in the problem. The fundamental problem in the system can be described mathematically by the Hamiltonian dual equations, which are expressed in four pairs of dual variables. The problem is reduced to a problem of eigenvalues and eigensolutions for critical loads and buckling modes, respectively. The buckling modes can be described by their respective orders ...