Simulation and stability analysis of impacting systems with complete chattering

Arne Nordmark (1) , Petri Piiroinen (2)

1 KTH Solid Mechanics
2 Department of Applied Mathematics, School of Mathematics, Statistics and Applied Mathematics

This paper considers dynamical systems that are derived from mechanical systems with impacts. In particular we will focus on chattering— accumulation of impacts—for which local disconti-nuity mappings will be derived. We will first show how to use these mappings in simulation schemes, and secondly how the mappings are used to calculate the stability of limit cycles with chattering by solving the first variational equations.

Mots clés: Nonlinear dynamics; Impacting systems; Chattering; Stability analysis; Bifurcations; Discontinuity mappings; Numerical methods; Simulation

Domaines: Sciences de l'ingénieur [physics]

Arne Nordmark, Petri Piiroinen. Simulation and stability analysis of impacting systems with complete chattering. Journal of Computational and Nonlinear Dynamics, 2009, 58 (1), pp.85-106. ⟨10.1007/s11071-008-9463-y⟩. ⟨hal-01304375⟩