On Hamilton's principle for nonholonomic systems

DOI10.1016/0021-8928(78)90108-9zbMath0419.70015OpenAlexW1552170564MaRDI QIDQ5904186

V. V. Rumyantsev

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(78)90108-9

zbMATH Keywords

nonholonomically constrained dynamical systems with finite number of degrees of freedomvariational principle of Hamilton

Mathematics Subject Classification ID

Hamilton's principle (70H25) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (12)

On the geometry of non-holonomic Lagrangian systems ⋮ Unnamed Item ⋮ On the stability of the uniformly accelerated motion of an elastic cylinder on an inclined flat surface ⋮ Unnamed Item ⋮ A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems ⋮ Anholonomic frames in constrained dynamics ⋮ Fractional dynamics of relativistic particle ⋮ A fiber bundle approach to the transpositional relations in nonholonomic mechanics ⋮ Contact Hamiltonian and Lagrangian systems with nonholonomic constraints ⋮ A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems ⋮ On integral principles for nonholonomic systems ⋮ The problem of realizing constraints in dynamics

Cites Work

• HAMILTON'S PRINCIPLE IN RELATION TO NON-HOLONOMIC MECHANICAL SYSTEMS
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