Asymptotic approximations for pure bending of thin cylindrical shells

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Abstract

A simplified partial wrinkling scenario for in-plane bending of thin cylindrical shells is explored by using several asymptotic strategies. The eighth-order boundary eigenvalue problem investigated here originates in the Donnel–Mushtari–Vlasov shallow shell theory coupled with a linear membrane pre-bifurcation state. It is shown that the corresponding neutral stability curve is amenable to a detailed asymptotic analysis based on the method of multiple scales. This is further complemented by an alternative WKB approximation that provides comparable information with significantly less effort.

Original languageEnglish
Article number82
Pages (from-to)1-20
Number of pages20
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume68
Issue number4
Early online date4 Jul 2017
DOIs
Publication statusPublished - Aug 2017
Externally publishedYes

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