Title: Lagrange and Appell-Gibbs approaches in problems of non-holonomic dynamic systems
Authors: Náprstek, J.
Fischer, C.
Citation: Computational mechanics 2018: book of extended abstracts: 34th conference with international participation, p. 71-72.
Issue Date: 2018
Publisher: Západočeská univerzita v Plzni
Document type: konferenční příspěvek
URI: http://hdl.handle.net/11025/30813
ISBN: 978-80-261-0819-1
Keywords: ne-holonomické dynamické systémy;Gibbs-Applovy rovnice;Lagrangeovy rovnice
Keywords in different language: non-holonomic dynamic systems;Gibbs-Appell equations;Lagrange equations
Abstract in different language: 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 nonholonomic constraints the Appell-Gibbs approach seems to be more effective providing more transparent governing systems.
Rights: Copyright © 2018 University of West Bohemia, Plzeň, Czech Republic
Appears in Collections:Computational mechanics 2018
Computational mechanics 2018

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