Unilateral Vibro-Impact Systems—Experimental Observations against Theoretical Predictions based on the Coefficient of Restitution

Geraldo F. de S. Reboucas; Ilmar Santos; Jon J. Thomsen

doi:10.1016/j.jsv.2018.10.037

Unilateral Vibro-Impact Systems—Experimental Observations against Theoretical Predictions based on the Coefficient of Restitution

Geraldo F. de S. Reboucas, Ilmar Santos^*, Jon J. Thomsen

^*Corresponding author for this work

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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.

Original language	English
Journal	Journal of Sound and Vibration
Volume	440
Pages (from-to)	346-371
ISSN	0022-460X
DOIs	https://doi.org/10.1016/j.jsv.2018.10.037
Publication status	Published - 2019

Keywords

Vibro-impact dynamics
Unilateral impact
Kinematic impact
Coeﬃcient of restitution
Vibro-impacting beam
Beam with attached mass

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Reboucas Santos ThomsenAccepted author manuscript, 1.75 MB

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title = "Unilateral Vibro-Impact Systems—Experimental Observations against Theoretical Predictions based on the Coefficient of Restitution",

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.",

keywords = "Vibro-impact dynamics, Unilateral impact, Kinematic impact, Coeﬃcient of restitution, Vibro-impacting beam, Beam with attached mass",

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AU - de S. Reboucas, Geraldo F.

AU - Santos, Ilmar

AU - Thomsen, Jon J.

PY - 2019

Y1 - 2019

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AB - 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.

KW - Vibro-impact dynamics

KW - Unilateral impact

KW - Kinematic impact

KW - Coeﬃcient of restitution

KW - Vibro-impacting beam

KW - Beam with attached mass

U2 - 10.1016/j.jsv.2018.10.037

DO - 10.1016/j.jsv.2018.10.037

M3 - Journal article

SN - 0022-460X

VL - 440

SP - 346

EP - 371

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

Unilateral Vibro-Impact Systems—Experimental Observations against Theoretical Predictions based on the Coefficient of Restitution

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Keywords

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