Wrinkling of a normally loaded, spinning, elastic membrane: An asymptotic approximation

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Abstract

This paper revisits recent work on the edge wrinkling experienced by spinning circular membranes loaded by a transverse uniform pressure. The corresponding stability analysis is carried out within the framework of the Föppl-von Kármán nonlinear plate theory. It is shown herein that the effect of rotation of the membrane is similar to an in-plane tension applied on its outer perimeter, an observation that proves to be quite effective in obtaining a tight upper bound for the critical wrinkling load of the problem. Comparisons between the simplified model and direct numerical simulations of the full eigenproblem provide further insight into the accuracy and limitations of the derived results.
Original languageEnglish
Article number104482
Number of pages12
JournalInternational Journal of Non-Linear Mechanics
Volume156
Early online date16 Jul 2023
DOIs
Publication statusPublished - 1 Nov 2023

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