Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling

Rafal Radecki; Michael J. Leamy; Tadeusz Uhl; Wieslaw J. Staszewski; Zhongqing Su; Li Cheng; Pawel Packo

Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling

Rafal Radecki, Michael J. Leamy, Tadeusz Uhl, Wieslaw J. Staszewski, Zhongqing Su, Li Cheng, Pawel Packo

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

5 Citations (Scopus)

Abstract

The paper presents numerical modelling approaches for computing wave propagation and high-order harmonic generation in nonlinear media. This approach is based on two local computational methods, i.e. the Local Interaction Simulation Approach and the Cellular Automata for Elastodynamics. Discretized numerical dispersion curves are calculated and used for the entire analysis. A quantitative study of velocity matching between the fundamental and high-order harmonic waves is performed. The influence of propagation distance on the magnitude of high-order harmonics is evaluated for various excitation frequencies. Numerical analyses show divergence from analytical models for dispersion curves, especially for high-order harmonics. These preliminary investigations demonstrate that the numerical modelling approaches applied can be used effectively for nonlinear wavefield analysis; however, numerical instead of analytical spectral characteristics should be considered.

Original language	English
Title of host publication	7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society
Publisher	INRIA
Pages	575-582
Number of pages	8
Publication status	Published - 1 Jan 2014
Event	7th European Workshop on Structural Health Monitoring, EWSHM 2014 - Nantes, France Duration: 8 Jul 2014 → 11 Jul 2014

Conference

Conference	7th European Workshop on Structural Health Monitoring, EWSHM 2014
Country/Territory	France
City	Nantes
Period	8/07/14 → 11/07/14

Keywords

Cellular Automata
Guided elastic waves
LISA
Modelling
Nonlinear wavefield
Numerical simulations

ASJC Scopus subject areas

Civil and Structural Engineering
Safety, Risk, Reliability and Quality
Building and Construction
Computer Science Applications

Cite this

Radecki, R., Leamy, M. J., Uhl, T., Staszewski, W. J., Su, Z., Cheng, L., & Packo, P. (2014). Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling. In 7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society (pp. 575-582). INRIA.

Radecki, Rafal ; Leamy, Michael J. ; Uhl, Tadeusz et al. / Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling. 7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society. INRIA, 2014. pp. 575-582

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abstract = "The paper presents numerical modelling approaches for computing wave propagation and high-order harmonic generation in nonlinear media. This approach is based on two local computational methods, i.e. the Local Interaction Simulation Approach and the Cellular Automata for Elastodynamics. Discretized numerical dispersion curves are calculated and used for the entire analysis. A quantitative study of velocity matching between the fundamental and high-order harmonic waves is performed. The influence of propagation distance on the magnitude of high-order harmonics is evaluated for various excitation frequencies. Numerical analyses show divergence from analytical models for dispersion curves, especially for high-order harmonics. These preliminary investigations demonstrate that the numerical modelling approaches applied can be used effectively for nonlinear wavefield analysis; however, numerical instead of analytical spectral characteristics should be considered.",

keywords = "Cellular Automata, Guided elastic waves, LISA, Modelling, Nonlinear wavefield, Numerical simulations",

author = "Rafal Radecki and Leamy, {Michael J.} and Tadeusz Uhl and Staszewski, {Wieslaw J.} and Zhongqing Su and Li Cheng and Pawel Packo",

year = "2014",

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pages = "575--582",

booktitle = "7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society",

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Radecki, R, Leamy, MJ, Uhl, T, Staszewski, WJ, Su, Z , Cheng, L & Packo, P 2014, Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling. in 7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society. INRIA, pp. 575-582, 7th European Workshop on Structural Health Monitoring, EWSHM 2014, Nantes, France, 8/07/14.

Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling. / Radecki, Rafal; Leamy, Michael J.; Uhl, Tadeusz et al.
7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society. INRIA, 2014. p. 575-582.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

TY - GEN

T1 - Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling

AU - Radecki, Rafal

AU - Leamy, Michael J.

AU - Uhl, Tadeusz

AU - Staszewski, Wieslaw J.

AU - Su, Zhongqing

AU - Cheng, Li

AU - Packo, Pawel

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The paper presents numerical modelling approaches for computing wave propagation and high-order harmonic generation in nonlinear media. This approach is based on two local computational methods, i.e. the Local Interaction Simulation Approach and the Cellular Automata for Elastodynamics. Discretized numerical dispersion curves are calculated and used for the entire analysis. A quantitative study of velocity matching between the fundamental and high-order harmonic waves is performed. The influence of propagation distance on the magnitude of high-order harmonics is evaluated for various excitation frequencies. Numerical analyses show divergence from analytical models for dispersion curves, especially for high-order harmonics. These preliminary investigations demonstrate that the numerical modelling approaches applied can be used effectively for nonlinear wavefield analysis; however, numerical instead of analytical spectral characteristics should be considered.

AB - The paper presents numerical modelling approaches for computing wave propagation and high-order harmonic generation in nonlinear media. This approach is based on two local computational methods, i.e. the Local Interaction Simulation Approach and the Cellular Automata for Elastodynamics. Discretized numerical dispersion curves are calculated and used for the entire analysis. A quantitative study of velocity matching between the fundamental and high-order harmonic waves is performed. The influence of propagation distance on the magnitude of high-order harmonics is evaluated for various excitation frequencies. Numerical analyses show divergence from analytical models for dispersion curves, especially for high-order harmonics. These preliminary investigations demonstrate that the numerical modelling approaches applied can be used effectively for nonlinear wavefield analysis; however, numerical instead of analytical spectral characteristics should be considered.

KW - Cellular Automata

KW - Guided elastic waves

KW - LISA

KW - Modelling

KW - Nonlinear wavefield

KW - Numerical simulations

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M3 - Conference article published in proceeding or book

SP - 575

EP - 582

BT - 7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society

PB - INRIA

T2 - 7th European Workshop on Structural Health Monitoring, EWSHM 2014

Y2 - 8 July 2014 through 11 July 2014

ER -

Radecki R, Leamy MJ, Uhl T, Staszewski WJ, Su Z , Cheng L et al. Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling. In 7th European Workshop on Structural Health Monitoring, EWSHM 2014 - 2nd European Conference of the Prognostics and Health Management (PHM) Society. INRIA. 2014. p. 575-582

Investigation on high-order harmonic generation of guided waves using local computation approaches: Theory and comparison with analytical modelling

Abstract

Conference

Keywords

ASJC Scopus subject areas

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