Constrained systems and analytical mechanics in spaces with torsion

DOI10.1088/0305-4470/31/22/016zbMath0968.70015arXivphysics/9801023OpenAlexW2009463333MaRDI QIDQ3836011

Sergei V. Shabanov

Publication date: 6 December 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/9801023

zbMATH Keywords

dynamical systemsNoether's theoremnonholonomic constraintsd'Alembert-Lagrange principleSedov's variational principleanholonomic constrained systemsgeneral Cartan connectiongeometric variational principlenon-local actionPoincaré's variational principletorsion force

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30)

Related Items (9)

Application of Newton's law of motion to constrained mechanical systems possessing configuration manifolds with time-dependent geometric properties ⋮ On application of Newton's law to mechanical systems with motion constraints ⋮ Dynamics of nonholonomic systems from variational principles embedded variation identity ⋮ Inverse problem for Chaplygin's nonholonomic systems ⋮ Influence of nonholonomic constraints on variations, symplectic structure, and dynamics of mechanical systems ⋮ Quasi-momentum theorem in Riemann-Cartan space ⋮ Decomposition of almost Poisson structure of non-self-adjoint dynamical systems ⋮ The Weitzenböck connection and time reparameterization in nonholonomic mechanics ⋮ Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold

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