Reconciling Kozlov's vakonomic method with the traditional non-holonomic method: solution of two benchmark problems
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Publication:6544700
DOI10.1007/s00707-023-03811-zMaRDI QIDQ6544700
Alfio Grillo, A. Pastore, Alessandro Giammarini
Publication date: 27 May 2024
Published in: Acta Mechanica (Search for Journal in Brave)
Nonholonomic systems related to the dynamics of a system of particles (70F25) Hamiltonian and Lagrangian mechanics (70Hxx) General models, approaches, and methods in mechanics of particles and systems (70Gxx)
Cites Work
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- Quasi-coordinates based dynamics modeling and control design for nonholonomic systems
- A fiber bundle approach to the transpositional relations in nonholonomic mechanics
- A new approach to the vakonomic mechanics
- Dynamics of systems with nonintegrable constraints. I
- Dynamics of systems with nonintegrable constraints. III
- On the dynamics of nonholonomic systems
- Equivalence of dynamics for nonholonomic systems with transverse constraints
- A critique of some mathematical models of mechanical systems with differential constraints
- Some geometric aspects of variational calculus in constrained systems
- Nonholonomic versus vakonomic dynamics
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Dynamics of systems with nonintegrable constraints. II
- On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
- Complete inequivalence of nonholonomic and vakonomic mechanics
- Nonholonomic and constrained variational mechanics
- A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems
- Nonholonomic mechanical systems with symmetry
- Variational principles for constrained systems: Theory and experiment
- On transpositional relations in mechanics
- GAUGE-NATURAL PARAMETRIZED VARIATIONAL PROBLEMS, VAKONOMIC FIELD THEORIES AND RELATIVISTIC HYDRODYNAMICS OF A CHARGED FLUID
- Chetaev versus vakonomic prescriptions in constrained field theories with parametrized variational calculus
- Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data
- Anholonomic frames in constrained dynamics
- The nonholonomic variational principle
- On nonholonomic systems and variational principles
- Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
- Analytical Mechanics
- A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems
- Double vector bundles and duality
- d’Alembert–Lagrange analytical dynamics for nonholonomic systems
- AN ELEMENTAL OVERVIEW OF THE NONHOLONOMIC NOETHER THEOREM
- Quasivelocities and symmetries in non-holonomic systems
- Variational calculus with constraints on general algebroids
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