Lagrange and Appell-Gibbs approaches in problems of non-holonomic dynamic systems

0496283 - ÚTAM 2019 RIV CZ eng A - Abstract
Náprstek, Jiří - Fischer, Cyril
Lagrange and Appell-Gibbs approaches in problems of non-holonomic dynamic systems.
Book of extended abstracts. 34th Conference with international participation Computational Mechanics 2018. Plzeň: University of West Bohemia, 2018 - (Adámek, V.; Jonášová, A.; Plánička, S.; Zajíček, M.). s. 71-72. ISBN 978-80-261-0819-1.
[Computational Mechanics 2018 /34./. 31.10.2018-02.11.2018, Srní]
R&D Projects: GA ČR(CZ) GC17-26353J
Institutional support: RVO:68378297
Keywords : Lagrangian approach * engineering applications * Appell-Gibbs function
OECD category: Construction engineering, Municipal and structural engineering

Hamiltonian functional and relevant Lagrange equation system are popular tools in investigation of dynamic systems. Various generalizations enable to extend the class of problems concerned slightly beyond conventional limits of a Hamiltonian system. This strategy is very effective particularly concerning 2D and simpler 3D systems. However, the governing differential systems of most non-holonomic 3D systems suffer from inadequate complexity, when deduced using this way. Any analytical investigation of such a governing system is rather impossible and its physical interpretation can be multivalent. For easier analysis particularly of systems with non-holonomic constraints the Appell-Gibbs approach seems to be more effective providing more transparent governing systems.
Permanent Link: http://hdl.handle.net/11104/0289091