A separation‐of‐variable method for eigenbuckling analysis of closed and open circular cylindrical shells

The analytical solutions for buckling of closed and open cylindrical shells under different boundary conditions are challenging. A separation‐of‐variable method with closed‐form eigensolution under Donnell–Mushtari theory is proposed for eigenbuckling analysis in cylindrical shells. The modal functi...

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Published inZeitschrift für angewandte Mathematik und Mechanik Vol. 104; no. 3
Main Authors Gao, Jifeng, Chen, Wujun, Zhang, Xiaozhao, Li, Kai, Yu, Yong
Format Journal Article
LanguageEnglish
Published Weinheim Wiley Subscription Services, Inc 01.03.2024
Subjects
Boundary conditions
Buckling
Cylindrical shells
Exact solutions
Finite element method
Separation
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Summary:The analytical solutions for buckling of closed and open cylindrical shells under different boundary conditions are challenging. A separation‐of‐variable method with closed‐form eigensolution under Donnell–Mushtari theory is proposed for eigenbuckling analysis in cylindrical shells. The modal function is adopted as the form W = eμαeλβ. It can be applied to the closed and open cylindrical shells with different boundary conditions, and the whole calculation process is explicit. The critical buckling capacities of short cylindrical shells are close under the simply supported or clamped boundary conditions. The predictions are in good agreement with those in literature and the finite element model.
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content type line 14
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.202300482