Gibbs-Appel formulation of non-holonomic motion of a ball on a spherical surface

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F16%3A00465319" target="_blank" >RIV/68378297:_____/16:00465319 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Gibbs-Appel formulation of non-holonomic motion of a ball on a spherical surface
Original language description
A new type of a passive vibration absorber is proposed and investigated as a non-linear non-holonomic system. It consists of a semi-spherical horizontal cavity in which a ball of a smaller diameter is rolling. The system of six degrees of freedom with three nonholonomic 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 physicallyninterpreted.n
Czech name
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Czech description
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Project
<a href="/en/project/GA15-01035S" target="_blank" >GA15-01035S: Dynamic stability and post-critical processes in non-conservative and non-holonomic stochastic systems with interactions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of 24th International Congress of Theoretical and Applied Mechanics
ISBN
978-0-660-05459-9
ISSN
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e-ISSN
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Number of pages
2
Pages from-to
120-121
Publisher name
IUTAM
Place of publication
Montreal
Event location
Montreal
Event date
Aug 21, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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