Mechanical systems subjected to impulsive constraints
Authors:
- Alberto IbortAIAlberto Ibort
- Manuel de LeónMLManuel de León
- David Martin de DiegoDDDavid Martin de Diego
- Paulo PitangaPPPaulo Pitanga
- 21 August 1997
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 30 (16) , 5835-5854
Abstract
A geometrical description of mechanical systems subjected to impulsive non-holonomic constraints is given. Their motions are determined by means of suitable projection operators which allow us to evaluate the instantaneous jumps of momenta due to the action of impulsive reaction forces. Several paradigmatic examples are investigated from this viewpoint: a disk falling into a plane, a rolling ball hitting a wall and the collision of two balls.Keywords
This publication has 5 references indexed in Scilit:
- Non-holonomic Lagrangian systems in jet manifoldsJournal of Physics A: General Physics, 1997
- On the geometry of non-holonomic Lagrangian systemsJournal of Mathematical Physics, 1996
- Reduction of constrained mechanical systems and stability of relative equilibriaCommunications in Mathematical Physics, 1995
- Symplectic projector in constrained systemsIl Nuovo Cimento A (1971-1996), 1990
- Geometric formulation of mechanical systems with one-sided constraintsJournal of Physics A: General Physics, 1990