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Unfolding of homoclinic and heteroclinic behaviour in a multiply-symmetric strut buckling problem

Citation

Wadee, MK and Bassom, AP, Unfolding of homoclinic and heteroclinic behaviour in a multiply-symmetric strut buckling problem, Quarterly Journal of Mechanics and Applied Mathematics, 65, (1) pp. 141-160. ISSN 0033-5614 (2012) [Refereed Article]

Copyright Statement

Copyright The author 2011. Published by Oxford University Press; all rights reserved.

DOI: doi:10.1093/qjmam/hbr025

Abstract

A structure exhibiting localized buckle patterns is analysed asymptotically to reveal how such solutions are limited by a restabilizing non-linearity. The calculation reveals the fashion in which solutions become periodic (heteroclinic) in the vicinity of a critical coefficient by way of the propagation of a front, which is found to be a boundary layer linking the two distinct regions (flat and periodic). The predictions are compared against direct numerical solutions and excellent agreement between the two independent methods is found.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105802
Year Published:2012
Web of Science® Times Cited:1
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2016-07-06
Downloads:0

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