On the Hamel coefficients and the Boltzmann-Hamel equations for the rigid body
DOI10.1007/S00332-021-09692-7zbMath1466.37051OpenAlexW3139532549MaRDI QIDQ2022570
Publication date: 29 April 2021
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-021-09692-7
rigid bodyEuler-Poincaré equationsnonholonomic dynamicsquasi-coordinatesquasi-velocitiesBoltzmann-Hamel equationsHamel coefficientsLagrange reduction
Robot dynamics and control of rigid bodies (70E60) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Applications of differential geometry to engineering (53Z30)
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