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- Title
On a vujanovic-type variational principle with application to rod theory.
- Authors
ATANACKOVIC, TEODOR M.
- Abstract
By using an idea similar to one proposed by Vujanovic in 1965 we formulate a new variational principle for elastic rod equations. The variational principle reproduces the equilibrium equations and linearized perturbation equations for a finitely deformed elastic rod. It is shown that the functional that we use could be connected with the weak formulation of the equilibrium equations. The principle is used for the study of bifurcation equations in connection with the method of Liapunov and Schmidt. Two examples are treated in detail.
- Subjects
VARIATIONAL principles; ELASTIC rods &; wires; BIFURCATION theory; PERTURBATION theory; EQUILIBRIUM; EQUATIONS; THEORY
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2001, Vol 54, Issue 1, p1
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/54.1.1