Coman, C.D. (2004) Secondary bifurcations and localisation in a three-dimensional buckling model. Zeitschrift für Angewandte Mathematik und Physik, 55(6), pp. 1050-1064. (doi: 10.1007/s00033-004-3099-7)
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Abstract
This paper revisits the effect of secondary bifurcations on the post-buckling response of a simple 3D system of elastically restrained beams, first discussed by Luongo in [19]. Our main objective is to show how to construct a uniform asymptotic expression for the localised buckling patterns experienced by this model. The governing equation is formulated as a fourth-order eigenvalue problem with non-constant coefficients and then a complex WKB technique is employed to yield the localised instability patterns. Numerical simulations supporting the analytical findings are included as well.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Coman, Dr Ciprian |
Authors: | Coman, C.D. |
Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Zeitschrift für Angewandte Mathematik und Physik |
ISSN: | 0044-2275 |
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