Wagner, A. ; Heffel, Eduard ; Arrieta, A. F. ; Spelsberg-Korspeter, G. ; Hagedorn, P. (2013)
Analysis of an oscillatory Painlevé-Klein apparatus with a nonholonomic constraint.
In: Differential Equations and Dynamical Systems, 21 (1&2)
doi: 10.1007/s12591-012-0131-9
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

In dynamics, both the concepts of rigid body and Coulomb’s law of friction are well established, although it is known at least since Painlevé’s time that they may lead to irregularities and contradictions, such as loss of uniqueness or existence of the solution of the equations of motion. The problem is still of very actual interest, since it can be of practical significance also for the industrially used rigid body codes. One of the simplest mechanical systems in which these difficulties can be well described is the Painlevé–Klein apparatus. As most other systems discussed in this context in the literature, this is a holonomic system. In the present note, we briefly examine a nonholonomic oscillatory system which is an extension of the classical Painlevé–Klein apparatus and we study its dynamics with respect to the Painlevé paradox. Both the borders of paradoxical regions and their reachability are addressed.

Typ des Eintrags:	Artikel
Erschienen:	2013
Autor(en):	Wagner, A. ; Heffel, Eduard ; Arrieta, A. F. ; Spelsberg-Korspeter, G. ; Hagedorn, P.
Art des Eintrags:	Bibliographie
Titel:	Analysis of an oscillatory Painlevé-Klein apparatus with a nonholonomic constraint
Sprache:	Englisch
Publikationsjahr:	2013
Titel der Zeitschrift, Zeitung oder Schriftenreihe:	Differential Equations and Dynamical Systems
Jahrgang/Volume einer Zeitschrift:	21
(Heft-)Nummer:	1&2
DOI:	10.1007/s12591-012-0131-9
Kurzbeschreibung (Abstract):	In dynamics, both the concepts of rigid body and Coulomb’s law of friction are well established, although it is known at least since Painlevé’s time that they may lead to irregularities and contradictions, such as loss of uniqueness or existence of the solution of the equations of motion. The problem is still of very actual interest, since it can be of practical significance also for the industrially used rigid body codes. One of the simplest mechanical systems in which these difficulties can be well described is the Painlevé–Klein apparatus. As most other systems discussed in this context in the literature, this is a holonomic system. In the present note, we briefly examine a nonholonomic oscillatory system which is an extension of the classical Painlevé–Klein apparatus and we study its dynamics with respect to the Painlevé paradox. Both the borders of paradoxical regions and their reachability are addressed.
Fachbereich(e)/-gebiet(e):	16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Dynamik und Schwingungen Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen
Hinterlegungsdatum:	28 Mai 2014 12:51
Letzte Änderung:	03 Jun 2018 21:25
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