On some approximate methods for the tensile instabilities of thin annular plates

Coman, C. and Haughton, D.M. (2006) On some approximate methods for the tensile instabilities of thin annular plates. Journal of Engineering Mathematics, 56(1), pp. 79-99.

Abstract

A thin annular plate is subjected to a uniform tensile field at its inner edge which leads to compressive circumferential stresses. When the intensity of the applied field is strong enough, elastic buckling occurs circumferentially, leading to a wrinkling pattern. Using a linear non-homogeneous pre-bifurcation state, the linearised eigenvalue problem describing this instability is cast as a fourth-order linear differential equation with variable coefficients. This problem is investigated numerically and it is shown that the simple application of the Galerkin technique reported in the literature leads to gross errors in the corresponding approximations. Several novel mathematical features of the eigenvalue problem are included as well.

• Item Type: Articles
• Keywords: annular plates, buckling, Galerkin technique, Rayleigh quotient, wrinkling
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Coman, Dr Ciprian and Haughton, Dr David
• Authors: Coman, C., and Haughton, D.M.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Engineering Mathematics
• Journal Abbr.: J Engng Maths.
• ISSN: 0022-0833
• ISSN (Online): 1573-2703
• Published Online: 28 June 2006