Abstract—

The article deals with the problem of stability of an infinitely long cylindrical shell, located in an absolutely rigid medium, compressing the shell so that it can lose stability only by deforming into an inner cavity. Using the equations of the nonlinear theory of shells, which takes into account from nonlinear effects only changes in the radii of curvature of the middle surface of the shell during deformation, an exact solution is obtained that determines the critical pressure or the limiting value of the subcritical deformation of the shell. It was found that the critical pressure and deformation largely depend on the connection between the shell and the external environment in the annular direction. Two limiting cases are investigated: a shell rigidly bound to the medium and a shell free from tangential annular surface load. The solution obtained is compared with the results of an experiment carried out on composite shells with a metal and polymer inner layer.

中文翻译：

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由刚性外部环境产生的外部压力加载的无限长圆柱壳的稳定性

摘要-

这篇文章讨论了一个无限长的圆柱壳的稳定性问题，该壳位于绝对刚性的介质中，压缩壳使其只有变形为内腔才能失去稳定性。使用壳非线性理论的方程，该方程仅从非线性效应中考虑了变形过程中壳中表面曲率半径的变化，从而获得了确定临界压力或临界压力的精确解。壳的亚临界变形。研究发现，临界压力和变形在很大程度上取决于壳体与外部环境在环形方向上的联系。研究了两个极限情况：一个壳与介质刚性结合，一个壳没有切向环形表面载荷。