Chaos in a forced dry-friction oscillator: Experiments and numerical modelling

B Feeny, FC Moon - Journal of Sound and Vibration, 1994 - Elsevier
B Feeny, FC Moon
Journal of Sound and Vibration, 1994Elsevier
The chaotic dynamics of a harmonically forced spring-mass system with dry friction is
studied experimentally and numerically. The friction in the experiment was designed to vary
linearly with displacement. A one-dimensional single-humped map is shown to underly the
dynamics. Three friction laws are examined during the numerical modeling: the
discontinuous Coulomb model, a continuous version of the Coulomb model, and a state-
variable friction law. Using experimental Poincaré maps, the qualitative features of the …
Abstract
The chaotic dynamics of a harmonically forced spring-mass system with dry friction is studied experimentally and numerically. The friction in the experiment was designed to vary linearly with displacement. A one-dimensional single-humped map is shown to underly the dynamics. Three friction laws are examined during the numerical modeling: the discontinuous Coulomb model, a continuous version of the Coulomb model, and a state-variable friction law. Using experimental Poincaré maps, the qualitative features of the chaotic attractor in the three-dimensional phase space were discovered and used to evaluate the friction models. Each friction model produces the main qualitative features of the dynamics observed in the experiment. The state-variable friction law produces one feature that was found in the experimental system, but not in the simulations with simple friction laws.
Elsevier
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