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

Research output: Contribution to journalJournal articleResearchpeer-review

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 languageEnglish
JournalJournal of Sound and Vibration
Volume440
Pages (from-to)346-371
ISSN0022-460X
DOIs
Publication statusPublished - 2019

Keywords

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

Cite this

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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",
author = "{de S. Reboucas}, {Geraldo F.} and Ilmar Santos and Thomsen, {Jon J.}",
year = "2019",
doi = "10.1016/j.jsv.2018.10.037",
language = "English",
volume = "440",
pages = "346--371",
journal = "Journal of Sound and Vibration",
issn = "0022-460X",
publisher = "Elsevier",

}

Unilateral Vibro-Impact Systems—Experimental Observations against Theoretical Predictions based on the Coefficient of Restitution. / de S. Reboucas, Geraldo F.; Santos, Ilmar; Thomsen, Jon J.

In: Journal of Sound and Vibration, Vol. 440, 2019, p. 346-371.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Unilateral Vibro-Impact Systems—Experimental Observations against Theoretical Predictions based on the Coefficient of Restitution

AU - de S. Reboucas, Geraldo F.

AU - Santos, Ilmar

AU - Thomsen, Jon J.

PY - 2019

Y1 - 2019

N2 - 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.

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

VL - 440

SP - 346

EP - 371

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

ER -