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Title: | A variational principle motivated by the optimal rod theory | Authors: | Atanackovic T. Vujanovic B. Baclic B. |
Issue Date: | 1-Jan-2000 | Journal: | Acta Mechanica | Abstract: | In this work we show that a number of well known nonlinear second order ODE appearing in theoretical physics provide the necessary condition for the minimum of the functional I = ∫ab L(x, ẍ, t) dt with the Lagrangian L = (-λF(t) x/ẍ)α. Also we prove that those second-order differential equations may be viewied as conservation laws for the corresponding Euler-Lagrange equations that are the fourthorder ODE. Several special cases that have importance in physics, mechanics and optimal rod theory are studied in detail. © Springer-Verlag 2000. | URI: | https://open.uns.ac.rs/handle/123456789/12094 | ISSN: | 00015970 | DOI: | 10.1007/BF01170182 |
Appears in Collections: | FTN Publikacije/Publications |
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