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The motion of the 2D hydrodynamic chaplygin sleigh in the presence of circulation
dc.contributor.author | Fedorov, Yuri |
dc.contributor.author | García Naranjo, Luis C. |
dc.contributor.author | Vankerschaver, Joris |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2013-12-02T11:30:51Z |
dc.date.available | 2013-12-02T11:30:51Z |
dc.date.created | 2013-03 |
dc.date.issued | 2013-03 |
dc.identifier.citation | Fedorov, Y.; García, L.; Vankerschaver, J. The motion of the 2D hydrodynamic chaplygin sleigh in the presence of circulation. "Discrete and continuous dynamical systems. Series A", Març 2013, vol. 33, núm. 9, p. 4017-4040. |
dc.identifier.issn | 1078-0947 |
dc.identifier.uri | http://hdl.handle.net/2117/20859 |
dc.description.abstract | We consider the motion of a planar rigid body in a potential two-dimensional flow with a circulation and subject to a certain nonholonomic constraint. This model can be related to the design of underwater vehicles. The equations of motion admit a reduction to a 2-dimensional nonlinear system, which is integrated explicitly. We show that the reduced system comprises both asymptotic and periodic dynamics separated by a critical value of the energy, and give a complete classification of types of the motion. Then we describe the whole variety of the trajectories of the body on the plane. |
dc.format.extent | 24 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 |
dc.subject.other | Chaplygin sleigh |
dc.subject.other | Fluid-body interaction with circulation |
dc.subject.other | Integrability |
dc.subject.other | Nonholonomic mechanics |
dc.title | The motion of the 2D hydrodynamic chaplygin sleigh in the presence of circulation |
dc.type | Article |
dc.subject.lemac | 3 entrades relacionades |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.3934/dcds.2013.33.4017 |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects |
dc.relation.publisherversion | http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=8365 |
dc.rights.access | Open Access |
local.identifier.drac | 12631063 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/246981/EU/Geometric Mechanics/GEOMECH |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/267382/EU/Five Challenges in Computational Anatomy/FCCA |
local.citation.author | Fedorov, Y.; García, L.; Vankerschaver, J. |
local.citation.publicationName | Discrete and continuous dynamical systems. Series A |
local.citation.volume | 33 |
local.citation.number | 9 |
local.citation.startingPage | 4017 |
local.citation.endingPage | 4040 |
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