A justification for investigating the dynamic properties of an elastic bar using a model of a system of coupled rigid bodies. (English. Russian original) Zbl 0881.73053
J. Appl. Math. Mech. 60, No. 2, 343-347 (1996); translation from Prikl. Mat. Mekh. 60, No. 2, 346-350 (1996).
Summary: The convergence of the solutions of the equations of a finite-dimensional model of the vibrations of a beam (\(n\) masses coupled by elastic hinges) to the solutions for a system with distributed parameters as \(n\to\infty\) is proved.
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
References:
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| [2] | Bolgrabskaya, I. A.; Savchenko, A. Ya., Stability of Steady Motions of Systems of Coupled Rigid Bodies, (Mekh. Tverd. Tela, 21 (1989), Naukova Dumka: Naukova Dumka Kiev), 62-73 · Zbl 0900.70283 |
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