Unilateral vibro-impact systems — Experimental observations against theoretical predictions based on the coefficient of restitution
Published in Journal of Sound and Vibration, 2018
Highlights
- Reproduce empirical observations to a certain level, validating analytical predictions.
- Discussion of common techniques for analysis of unilateral vibro-impact problems.
- Presentation of experimental data for 3 gap configurations: loose, neutral and tight.
- Dependence of the coefficient of restitution to forcing frequency and pre-contact velocity is shown empirically.
- Discussion on model tuning for unilateral vibro-impact experiments.
Abstract
The vibro-impact response of a single-degree of freedom model with the coefficient of restitution is analyzed using pointwise mapping and a standard averaging combined with non-smooth transformations. Experimental data are taken from a cantilever beam with attached mass and unilateral constraint submitted to different gap configurations and levels of excitation. Numerical simulations are used to reproduce empirical observations to a certain extent and validate theoretical predictions. Investigations on the coefficient of restitution show its dependence on the forcing frequency and pre-contact velocity. The effect of gap variations due to sliding of the constraint during frequency sweep is analyzed experimentally.
Recommended citation: G. F. S. Rebouças, I. F. Santos, and J. J. Thomsen. Journal of Sound and Vibration 440 (2019) 346-371
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