Validation of Vibro-Impact Force Models by Numerical Simulation, Perturbation Methods and Experiments

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

doi:10.1016/j.jsv.2017.10.028

Validation of Vibro-Impact Force Models by Numerical Simulation, Perturbation Methods and Experiments

Geraldo F. de Souza Reboucas, Ilmar F. Santos, Jon J. Thomsen

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Abstract

The frequency response of a single degree of freedom vibro-impact oscillator is analyzed using Harmonic Linearization, Averaging and Numeric Simulation, considering three different impact force models: one given by a piecewise-linear function (Kelvin-Voigt model), another by a high-order power function, and a third one combining the advantages of the other two. Experimental validation is carried out using control-based continuation to obtain the experimental frequency response, including its unstable branch.

Original language	English
Journal	Journal of Sound and Vibration
Volume	413
Pages (from-to)	291–307
ISSN	0022-460X
DOIs	https://doi.org/10.1016/j.jsv.2017.10.028
Publication status	Published - 2018

Keywords

Vibro-impact dynamics
Impact force model
Kelvin-Voigt impact model
Power-law impact model
Vibro-impacting beam
Lumped mass beam
Experimental validation
Control-based continuation

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Reboucas Santos Thomsen JSV ver02Accepted author manuscript, 953 KB

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title = "Validation of Vibro-Impact Force Models by Numerical Simulation, Perturbation Methods and Experiments",

abstract = "The frequency response of a single degree of freedom vibro-impact oscillator is analyzed using Harmonic Linearization, Averaging and Numeric Simulation, considering three different impact force models: one given by a piecewise-linear function (Kelvin-Voigt model), another by a high-order power function, and a third one combining the advantages of the other two. Experimental validation is carried out using control-based continuation to obtain the experimental frequency response, including its unstable branch.",

keywords = "Vibro-impact dynamics, Impact force model, Kelvin-Voigt impact model, Power-law impact model, Vibro-impacting beam, Lumped mass beam, Experimental validation, Control-based continuation",

author = "{de Souza Reboucas}, {Geraldo F.} and Santos, {Ilmar F.} and Thomsen, {Jon J.}",

year = "2018",

doi = "10.1016/j.jsv.2017.10.028",

language = "English",

volume = "413",

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journal = "Journal of Sound and Vibration",

issn = "0022-460X",

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T1 - Validation of Vibro-Impact Force Models by Numerical Simulation, Perturbation Methods and Experiments

AU - de Souza Reboucas, Geraldo F.

AU - Santos, Ilmar F.

AU - Thomsen, Jon J.

PY - 2018

Y1 - 2018

N2 - The frequency response of a single degree of freedom vibro-impact oscillator is analyzed using Harmonic Linearization, Averaging and Numeric Simulation, considering three different impact force models: one given by a piecewise-linear function (Kelvin-Voigt model), another by a high-order power function, and a third one combining the advantages of the other two. Experimental validation is carried out using control-based continuation to obtain the experimental frequency response, including its unstable branch.

AB - The frequency response of a single degree of freedom vibro-impact oscillator is analyzed using Harmonic Linearization, Averaging and Numeric Simulation, considering three different impact force models: one given by a piecewise-linear function (Kelvin-Voigt model), another by a high-order power function, and a third one combining the advantages of the other two. Experimental validation is carried out using control-based continuation to obtain the experimental frequency response, including its unstable branch.

KW - Vibro-impact dynamics

KW - Impact force model

KW - Kelvin-Voigt impact model

KW - Power-law impact model

KW - Vibro-impacting beam

KW - Lumped mass beam

KW - Experimental validation

KW - Control-based continuation

U2 - 10.1016/j.jsv.2017.10.028

DO - 10.1016/j.jsv.2017.10.028

M3 - Journal article

SN - 0022-460X

VL - 413

SP - 291

EP - 307

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

Validation of Vibro-Impact Force Models by Numerical Simulation, Perturbation Methods and Experiments

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Keywords

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