About a stability conjecture concerning unilateral contact with friction

作者：Pratt Elaine^*; Leger Alain; Jean Michel

来源：Nonlinear Dynamics, 2010, 59(1-2): 73-94.

DOI：10.1007/s11071-009-9522-z

• Coulomb friction
• Unilateral contact
• Nonsmooth dynamics
• Mass-spring systems
• Stability

A new notion of stability specially adapted to systems with unilateral contact and Coulomb friction is introduced. Whereas classical stability results in mechanics concern perturbations of the initial data in a classical phase space, we establish here results concerning the trajectories issued from a perturbation of the external forces. In such a context we state a conjecture concerning stability with respect to external forces that we back up by analytical computations in the case of simple models and then by numerical computations for more complex systems.

• 出版日期2010-1