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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.
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 |
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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 |
UTAS 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: | 2017-11-01 |
Downloads: | 0 |
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