Simulation and stability analysis of impacting systems with complete chattering

Authors: Nordmark, A., Piiroinen, P T
Document Type: Article
Pubstate: Published
Journal: Nonlinear Dynamics
Volume: 58   85--106
Year: 2009


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 discontinuity 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.