Peer-Reviewed Journal Details
Mandatory Fields
Nordmark, AB,Piiroinen, PT
2009
October
Nonlinear Dynamics
Simulation and stability analysis of impacting systems with complete chattering
Published
()
Optional Fields
Nonlinear dynamics Impacting systems Chattering Stability analysis Bifurcations Discontinuity mappings Numerical methods Simulation MECHANICAL OSCILLATORS SLIDING BIFURCATIONS GRAZING BIFURCATIONS MAPPINGS MOTIONS
58
85
106
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.
DOI 10.1007/s11071-008-9463-y
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