The Contact Problem in Lagrangian Systems subject to Bilateral and Unilateral constraints with sliding Coulomb's Friction
Résumé
This work concerns the existence and uniqueness of the acceleration and Lagrange multipliers for Lagrangian systems subject to sliding Coulomb's friction with bilateral and unilateral constraints. Focus is put on providing sufficient conditions for singularities like Painlevé paradoxes to be avoided. Explicit criteria, in the form of upper bounds on the friction coefficients, are given so as to preserve the well posedness of the frictional problem.
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