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.
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09 August 2017
An erratum to this article has been published.
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The original version of this article was revised: Due to a typesetting error, Eq. 5.9 was incorrect in the original publication and it has been corrected now.
An erratum to this article is available at https://doi.org/10.1007/s00033-017-0840-6.
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Coman, C.D. Asymptotic approximations for pure bending of thin cylindrical shells. Z. Angew. Math. Phys. 68, 82 (2017). https://doi.org/10.1007/s00033-017-0826-4
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DOI: https://doi.org/10.1007/s00033-017-0826-4