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Cartesian approach for constrained mechanical system with three degree of freedom
dc.contributor.author | Ramírez Inostroza, Rafael Orlando |
dc.contributor.author | Sadovskaia Nurimanova, Natalia Guennadievna |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-09-20T11:54:36Z |
dc.date.available | 2010-09-20T11:54:36Z |
dc.date.created | 2010 |
dc.date.issued | 2010 |
dc.identifier.citation | Ramirez, R.; Sadovskaia, N. Cartesian approach for constrained mechanical system with three degree of freedom. "Reports on mathematical physics", 2010, vol. 65, núm. 1, p. 109-139. |
dc.identifier.issn | 0034-4877 |
dc.identifier.uri | http://hdl.handle.net/2117/8969 |
dc.description.abstract | In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the first-order differential equations in the N dimensional configuration space Q. In this paper we develop the Cartesian approach for mechanical systems with three degrees of freedom and with constraint which are linear with respect to velocity. The obtained results we apply to discuss the integrability of the geodesic flows on the surface in the three dimensional Euclidian space and to analyze the integrability of a heavy rigid body in the Suslov and the Veselov cases. |
dc.format.extent | 31 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Constraints (Physics) |
dc.subject.lcsh | Geodesic flows |
dc.subject.lcsh | Nonholonomic dynamical systems |
dc.subject.lcsh | Mechanics |
dc.subject.lcsh | Differential equations |
dc.title | Cartesian approach for constrained mechanical system with three degree of freedom |
dc.type | Article |
dc.subject.lemac | Geodèsia |
dc.subject.lemac | Mecànica |
dc.subject.lemac | Sistemes dinàmics |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. MMAC - Models Matemàtics aplicats a les ciencies humanes i de la natura |
dc.identifier.doi | 10.1016/S0034-4877(10)80008-4 |
dc.relation.publisherversion | http://arxiv.org/PS_cache/arxiv/pdf/0902/0902.2679v1.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 2753701 |
dc.description.version | Postprint (published version) |
local.citation.author | Ramirez, R.; Sadovskaia, N. |
local.citation.publicationName | Reports on mathematical physics |
local.citation.volume | 65 |
local.citation.number | 1 |
local.citation.startingPage | 109 |
local.citation.endingPage | 139 |
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