Geometric formulation of mechanical systems subjected to time-dependent one-sided constraints

DOI10.1088/0305-4470/31/11/014zbMath0938.70010OpenAlexW2085098542MaRDI QIDQ4235465

Manuel de León, David Martín de Diego, Paulo Pitanga, Ernesto A. Lacomba, Alberto Ibort, Juan Carlos Marrero

Publication date: 21 June 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/11/014

zbMATH Keywords

submanifoldLagrange equationsnonholonomic constraintsreaction forcesimpulsive constraintscosymplectic jet manifoldsfibered submersionmomentum jumps

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) 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)

Related Items (10)

Constraints in impulsive mechanics and Gauss's minimum principle ⋮ On the simultaneous presence of unilateral and kinetic constraints in time-dependent impulsive mechanics ⋮ A historical review on nonholomic mechanics ⋮ A note on hybrid Routh reduction for time-dependent Lagrangian systems ⋮ New geometrical frameworks for classical impulsive mechanics ⋮ Symmetric and asymmetric multiple impulsive constraints without friction and their characterization ⋮ Nonholonomic constraints in time-dependent mechanics ⋮ Nonideal unilateral constraints in impulsive mechanics: A geometric approach ⋮ Ideality criterion for unilateral constraints in time-dependent impulsive mechanics ⋮ Contact Lagrangian systems subject to impulsive constraints

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