On the variational mechanics with nonlinear constraints

DOI10.1016/S0021-7824(03)00069-2zbMath1068.70020OpenAlexW2091952858MaRDI QIDQ1887204

Gláucio Terra, Marcelo Hissakiti Kobayashi

Publication date: 23 November 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(03)00069-2

zbMATH Keywords

Lagrangian functionalsub-Riemannian geometrygeneralized Hamilton's principle

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Hamilton's principle (70H25) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Variational principles of physics (49S05) Lagrange's equations (70H03)

Related Items (6)

Nonholonomic and constrained variational mechanics ⋮ On some aspects of the geometry of non integrable distributions and applications ⋮ On continuum dynamics ⋮ On classical mechanical systems with nonlinear constraints ⋮ A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems ⋮ Vakonomic versus nonholonomic mechanics revisited

Cites Work

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