Simulation and stability analysis of impacting systems with complete chattering

• 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.

Nyckelord

Nonlinear dynamics

Impacting systems

Chattering

Stability analysis

Bifurcations

Discontinuity mappings

Numerical methods

Simulation

mechanical oscillators

sliding bifurcations

grazing bifurcations

mappings

motions

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