The hydrodynamic Chaplygin sleigh
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10.1088/1751-8113/43/43/434013
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/17025
Tipus de documentArticle
Data publicació2010
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
We consider the motion of rigid bodies in a potential fluid subject to certain
nonholonomic constraints and show that it is described by Euler–Poincar´e–
Suslov equations. In the two-dimensional case, when the constraint is
realized by a blade attached to the body, the system provides a hydrodynamic
generalization of the classical Chaplygin sleigh problem, one of the best known
examples of nonholonomic systems. The dynamics of the generalized sleigh
is studied in detail. Namely, the equations of motion are integrated explicitly,
and the asymptotic behavior of the system is described analytically and from
the qualitative point of view. It is shown that the presence of the fluid brings
new features to such a behavior.
CitacióFedorov, Y.; Garcia Naranjo, L. The hydrodynamic Chaplygin sleigh. "Journal of physics A. Mathematical and theoretical", 2010, vol. 43, p. 1-19.
ISSN1751-8113
Versió de l'editorhttp://iopscience.iop.org/1751-8121/43/43/434013
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hydrodynamic.pdf | 413,8Kb | Visualitza/Obre |