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The Quarterly Journal of Mechanics and Applied Mathematics 2001 54(1):1-11; doi:10.1093/qjmam/54.1.1
© 2001 by Oxford University Press
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On a vujanovic-type variational principle with application to rod theory

Teodor M. Atanackovic1,+

( 1 Faculty of Technical Sciences, University of Novi Sad, 21000, Novi Sad, Yugoslavia )

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.

Received 20 September, 1999. Revised 3 March, 2000.

+ Dedicated to Professor B. D. Vujanovic, teacher and friend, for his 70th birthday


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