Extension of Lagrangian-Hamiltonian mechanics for continuous systems-investigation of dynamics of a one-dimensional internally damped rotor driven through a dissipative coupling

DOI10.1007/s11071-008-9464-xzbMath1183.74105OpenAlexW1987503957MaRDI QIDQ2380588

Vikas Rastogi, Amalendu Mukherjee, Anirvan DasGupta

Publication date: 29 March 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-008-9464-x

zbMATH Keywords

infinitesimal generatorsNoether's theoremcontinuous systemsinternally damped rotorUmbra-Lagrangian density

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (2)

Effects of Discrete Damping on the Dynamic Behaviour of Rotating Shaft through Extended Lagrangian Formulation ⋮ Sommerfeld effect in a two-disk rotor dynamic system at various unbalance conditions

Cites Work

• A procedure for finding first integrals of mechanical systems with gauge- variant Lagrangians
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• Lagrangian description of the variational equations
• Variational methods in nonconservative phenomena
• Classification of Noether symmetries for Lagrangians with three degrees of freedom
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• A gauge invariant formulation of time-dependent dynamical symmetry mappings and associated constants of motion for Lagrangian particle mechanics. I
• Symmetries of Hamiltonian systems with two degrees of freedom
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