On the generation of nonlinear damage resonance intermodulation for elastic wave spectroscopy

Francesco Ciampa, Gennaro Scarselli, Michele Meo

Research output: Contribution to journalArticle

13 Citations (Scopus)
85 Downloads (Pure)

Abstract

Recent nonlinear elastic wave spectroscopy experiments have shown that the nonlinear ultrasonic response of damaged composite materials can be enhanced by higher vibrations at the local damage resonance. In this paper, the mathematical formulation for the generation of nonlinear wave effects associated with continuous periodic excitation and the concept of local defect resonance is provided. Under the assumption of both quadratic and cubic approximation, the existence of higher harmonics of the excitation frequency, superharmonics of the damage resonance frequency and nonlinear wave effects, here named as nonlinear damage resonance intermodulation, which correspond to the nonlinear intermodulation between the driving and the damage resonance frequencies, is proved. All these nonlinear elastic effects are caused by the interaction of propagating ultrasonic waves with the local damage resonance and can be measured at locations different from the material defect one. The proposed analytical model is confirmed and validated through experimental transducer-based measurements of the steady-state nonlinear resonance response on a damaged composite sample. These results will provide opportunities for early detection and imaging of material flaws.
Original languageEnglish
Pages (from-to)2364-2374
Number of pages11
JournalJournal of the Acoustical Society of America
Volume141
Issue number4
Early online date4 Apr 2017
DOIs
Publication statusPublished - 30 Apr 2017

Fingerprint

intermodulation
elastic waves
damage
spectroscopy
defects
superharmonics
composite materials
ultrasonic radiation
Damage
Waves
Spectroscopy
excitation
transducers
ultrasonics
harmonics
formulations
vibration
approximation

Cite this

On the generation of nonlinear damage resonance intermodulation for elastic wave spectroscopy. / Ciampa, Francesco; Scarselli, Gennaro; Meo, Michele.

In: Journal of the Acoustical Society of America, Vol. 141, No. 4, 30.04.2017, p. 2364-2374.

Research output: Contribution to journalArticle

@article{204fa6929b194a1fabfb279c095196a0,
title = "On the generation of nonlinear damage resonance intermodulation for elastic wave spectroscopy",
abstract = "Recent nonlinear elastic wave spectroscopy experiments have shown that the nonlinear ultrasonic response of damaged composite materials can be enhanced by higher vibrations at the local damage resonance. In this paper, the mathematical formulation for the generation of nonlinear wave effects associated with continuous periodic excitation and the concept of local defect resonance is provided. Under the assumption of both quadratic and cubic approximation, the existence of higher harmonics of the excitation frequency, superharmonics of the damage resonance frequency and nonlinear wave effects, here named as nonlinear damage resonance intermodulation, which correspond to the nonlinear intermodulation between the driving and the damage resonance frequencies, is proved. All these nonlinear elastic effects are caused by the interaction of propagating ultrasonic waves with the local damage resonance and can be measured at locations different from the material defect one. The proposed analytical model is confirmed and validated through experimental transducer-based measurements of the steady-state nonlinear resonance response on a damaged composite sample. These results will provide opportunities for early detection and imaging of material flaws.",
author = "Francesco Ciampa and Gennaro Scarselli and Michele Meo",
year = "2017",
month = "4",
day = "30",
doi = "10.1121/1.4979256",
language = "English",
volume = "141",
pages = "2364--2374",
journal = "Journal of the Acoustical Society of America",
issn = "0001-4966",
publisher = "Acoustical Society of America",
number = "4",

}

TY - JOUR

T1 - On the generation of nonlinear damage resonance intermodulation for elastic wave spectroscopy

AU - Ciampa, Francesco

AU - Scarselli, Gennaro

AU - Meo, Michele

PY - 2017/4/30

Y1 - 2017/4/30

N2 - Recent nonlinear elastic wave spectroscopy experiments have shown that the nonlinear ultrasonic response of damaged composite materials can be enhanced by higher vibrations at the local damage resonance. In this paper, the mathematical formulation for the generation of nonlinear wave effects associated with continuous periodic excitation and the concept of local defect resonance is provided. Under the assumption of both quadratic and cubic approximation, the existence of higher harmonics of the excitation frequency, superharmonics of the damage resonance frequency and nonlinear wave effects, here named as nonlinear damage resonance intermodulation, which correspond to the nonlinear intermodulation between the driving and the damage resonance frequencies, is proved. All these nonlinear elastic effects are caused by the interaction of propagating ultrasonic waves with the local damage resonance and can be measured at locations different from the material defect one. The proposed analytical model is confirmed and validated through experimental transducer-based measurements of the steady-state nonlinear resonance response on a damaged composite sample. These results will provide opportunities for early detection and imaging of material flaws.

AB - Recent nonlinear elastic wave spectroscopy experiments have shown that the nonlinear ultrasonic response of damaged composite materials can be enhanced by higher vibrations at the local damage resonance. In this paper, the mathematical formulation for the generation of nonlinear wave effects associated with continuous periodic excitation and the concept of local defect resonance is provided. Under the assumption of both quadratic and cubic approximation, the existence of higher harmonics of the excitation frequency, superharmonics of the damage resonance frequency and nonlinear wave effects, here named as nonlinear damage resonance intermodulation, which correspond to the nonlinear intermodulation between the driving and the damage resonance frequencies, is proved. All these nonlinear elastic effects are caused by the interaction of propagating ultrasonic waves with the local damage resonance and can be measured at locations different from the material defect one. The proposed analytical model is confirmed and validated through experimental transducer-based measurements of the steady-state nonlinear resonance response on a damaged composite sample. These results will provide opportunities for early detection and imaging of material flaws.

UR - https://doi.org/10.1121/1.4979256

U2 - 10.1121/1.4979256

DO - 10.1121/1.4979256

M3 - Article

VL - 141

SP - 2364

EP - 2374

JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

SN - 0001-4966

IS - 4

ER -