Izydorek, Marek, Janczewska, Joanna, Waterstraat, Nils, Zgorzelska, Anita (2018) Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation. Nonlinear Analysis. Real World Applications, 39 . pp. 451-463. ISSN 1468-1218. (doi:10.1016/j.nonrwa.2017.07.008) (KAR id:60224)
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| Official URL http://dx.doi.org/10.1016/j.nonrwa.2017.07.008 |
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Abstract
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable foundation. Our main theorem shows that bifurcation occurs if and only if the linearization of our problem has nontrivial solutions. In fact our proof, based on the concept of the Brouwer degree, gives more, namely that from each bifurcation point there branches off a continuum of solutions.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1016/j.nonrwa.2017.07.008 |
| Uncontrolled keywords: | Bifurcation, Buckling, Winkler foundation |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA801 Analytic mechanics |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Nils Waterstraat |
| Date Deposited: | 05 Feb 2017 14:31 UTC |
| Last Modified: | 16 Feb 2021 13:43 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/60224 (The current URI for this page, for reference purposes) |
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