000014987 001__ 14987
000014987 005__ 20161115100208.0
000014987 04107 $$aeng
000014987 046__ $$k2016-08-21
000014987 100__ $$aNaprstek, Jiri
000014987 24500 $$aGibbs-Appel Formulation of Non-Holonomic Motion of a Ball on a Spherical Surface

000014987 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014987 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014987 506__ $$arestricted
000014987 520__ $$2eng$$aA new type of a passive vibration absorber is proposed and investigated as a non-linear non-holonomic system. It consists of Wherical horizontal cavity in which a ball of a smaller diameter is rolling. The system of six degrees of freedom with three non- holonomic constraints is investigated. Instead of conventional way via Hamiltonian functional and Lagrangian procedure, the respective differential system is derived using the Gibbs-Appel function and related steps. Comparison of both approaches has been done. The system has an auto-parametric character and hence the semi-trivial solution and dynamic stability is investigated. Some principal post-critical regimes are outlined and qualitatively evaluated in the resonance neighborhood. Numerical experiments are performed and physically interpreted.

000014987 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014987 653__ $$a

000014987 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014987 720__ $$aNaprstek, Jiri
000014987 8560_ $$ffischerc@itam.cas.cz
000014987 8564_ $$s181871$$uhttps://invenio.itam.cas.cz/record/14987/files/TS.MS04-2.06.pdf$$yOriginal version of the author's contribution as presented on CD,  page 120, code TS.MS04-2.06
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000014987 962__ $$r13812
000014987 980__ $$aPAPER