A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints
DOI10.1016/j.geomphys.2017.10.008zbMath1386.70031OpenAlexW2766271708MaRDI QIDQ1685886
Publication date: 20 December 2017
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.10.008
Lagrange multipliersnonholonomic constraintsLagrangian systemautonomous bicyclereduced equations of motion
Dynamical systems in solid mechanics (37N15) General applied mathematics (00A69) 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) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60) Geometrical methods for optimization problems in solid mechanics (74P20)
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Cites Work
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- Non-holonomic mechanics: a geometrical treatment of general coupled rolling motion
- Nonholonomic variational systems
- Nonholonomic Lagrangian systems on Lie algebroids
- Mechanical systems with nonlinear constraints
- The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
- On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
- Jet methods in nonholonomic mechanics
- Mechanical systems with nonholonomic constraints
- The relativistic particle as a mechanical system with non-holonomic constraints
- Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers
- Non-holonomic Lagrangian systems in jet manifolds
- Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
- Higher-order mechanical systems with constraints
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