Stability analysis of a corrugated ring subjected to uniform external pressure is under consideration. Two main approaches to solving this problem are analyzed. The equivalent bending stiffness approach is often used in engineering practice. It is based on some plausible assumptions about the behavior of a structure. Its advantage is the simplicity of the obtained relations; the disadvantage is the difficulty in estimating the area of applicability. In this paper, we developed an asymptotic homogenization method for calculating the critical pressure for a corrugated ring, which made it possible to mathematically substantiate and refine the equivalent bending stiffness approach. To evaluate the results obtained using the equivalent stiffness approach and asymptotic homogenization method, the imperfection method is used. The influence of the corrugation parameters on buckling pressure is analyzed.

中文翻译：

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均匀外压下波纹环的屈曲

受均匀外压作用的波纹环的稳定性分析正在考虑中。分析了解决这个问题的两种主要方法。工程实践中经常使用等效弯曲刚度法。它基于一些关于结构行为的合理假设。它的优点是得到的关系简单；缺点是难以估计适用范围。在本文中，我们开发了一种用于计算波纹环临界压力的渐近均匀化方法，这使得在数学上证实和改进等效弯曲刚度方法成为可能。为了评估使用等效刚度方法和渐近均匀化方法获得的结果，使用了缺陷方法。