Gáspár, Zsolt and Pezer, Ferenc (2006) Two-fold bifurcated equilibrium paths with full symmetry. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 7 (2). pp. 189-200. ISSN 1586-2070
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Official URL: http://jcam.uni-miskolc.hu
Abstract
This paper deals with potential energy functions of elastic structures with two symmetry planes. Optimization leads to double cusp catastrophes at the critical point. Catastrophe theory distinguishes 15 classes of double cusp catastrophes. To classify the structures of the equilibrium paths we need some subclassification, due to the special role of the load parameter and because in some cases determinacy of the function is higher than four. Different types of the equilibrium paths are shown for the subclasses.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | stability, equilibrium paths, double cusp catastrophe |
| Subjects: | Q Science / természettudomány > QC Physics / fizika > QC01 Mechanics / mechanika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 Nov 2025 10:42 |
| Last Modified: | 02 Nov 2025 10:42 |
| URI: | https://real.mtak.hu/id/eprint/227890 |
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