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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 |
|---|---|
| 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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