Nonlinear Modes in Shear Horizontal Wave Propagation–Analytical and Numerical Analysis

M. Osika; A. Ziaja-Sujdak; R. Radecki; L. Cheng; W. J. Staszewski

doi:10.1016/j.jsv.2022.117247

Nonlinear Modes in Shear Horizontal Wave Propagation–Analytical and Numerical Analysis

M. Osika
, A. Ziaja-Sujdak
, R. Radecki
, L. Cheng
, W. J. Staszewski

Research output: Journal article publication › Journal article › Academic research › peer-review

12 Citations (Scopus)

Abstract

Nonlinear shear horizontal guided wavefield is investigated analytically in plates. The major focus is on the effect of nonlinear material parameters, excitation frequency, wave number and wave amplitude on nonlinear mode generation. The analytical solution is based on the multiple-scale perturbation method and modal decomposition approach. The approximate analytical solution is validated using the Local Interaction Simulation Approach, implemented for nonlinear shear wave propagation. The results show that the analysed shear horizontal wavefield is distorted by material nonlinearity. The resulting displacement field can be interpreted in a form of nonlinear modes.

Original language	English
Article number	117247
Journal	Journal of Sound and Vibration
Volume	540
DOIs	https://doi.org/10.1016/j.jsv.2022.117247
Publication status	Published - 8 Dec 2022

Keywords

Distorted dispersion curves
Material nonlinearity
Nonlinear modes
Nonlinear wave propagation
Shear horizontal waves

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/j.jsv.2022.117247

Cite this

@article{9d1c3fea676d469da6d7792853f4d34c,

title = "Nonlinear Modes in Shear Horizontal Wave Propagation–Analytical and Numerical Analysis",

abstract = "Nonlinear shear horizontal guided wavefield is investigated analytically in plates. The major focus is on the effect of nonlinear material parameters, excitation frequency, wave number and wave amplitude on nonlinear mode generation. The analytical solution is based on the multiple-scale perturbation method and modal decomposition approach. The approximate analytical solution is validated using the Local Interaction Simulation Approach, implemented for nonlinear shear wave propagation. The results show that the analysed shear horizontal wavefield is distorted by material nonlinearity. The resulting displacement field can be interpreted in a form of nonlinear modes.",

keywords = "Distorted dispersion curves, Material nonlinearity, Nonlinear modes, Nonlinear wave propagation, Shear horizontal waves",

author = "M. Osika and A. Ziaja-Sujdak and R. Radecki and L. Cheng and Staszewski, \{W. J.\}",

note = "Funding Information: The work presented in this paper was performed within the scope of the research grant UMO-2018/30/Q/ST8/00571 financed by the Polish National Science Centre . This grant is part of the Polish-Chinese collaborative research SHENG initiative nr 51961135302 . Funding Information: The work presented in this paper was performed within the scope of the research grant UMO-2018/30/Q/ST8/00571 financed by the Polish National Science Centre. This grant is part of the Polish-Chinese collaborative research SHENG initiative nr 51961135302. Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = dec,

day = "8",

doi = "10.1016/j.jsv.2022.117247",

language = "English",

volume = "540",

journal = "Journal of Sound and Vibration",

issn = "0022-460X",

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T1 - Nonlinear Modes in Shear Horizontal Wave Propagation–Analytical and Numerical Analysis

AU - Osika, M.

AU - Ziaja-Sujdak, A.

AU - Radecki, R.

AU - Cheng, L.

AU - Staszewski, W. J.

N1 - Funding Information: The work presented in this paper was performed within the scope of the research grant UMO-2018/30/Q/ST8/00571 financed by the Polish National Science Centre . This grant is part of the Polish-Chinese collaborative research SHENG initiative nr 51961135302 . Funding Information: The work presented in this paper was performed within the scope of the research grant UMO-2018/30/Q/ST8/00571 financed by the Polish National Science Centre. This grant is part of the Polish-Chinese collaborative research SHENG initiative nr 51961135302. Publisher Copyright: © 2022 Elsevier Ltd

PY - 2022/12/8

Y1 - 2022/12/8

N2 - Nonlinear shear horizontal guided wavefield is investigated analytically in plates. The major focus is on the effect of nonlinear material parameters, excitation frequency, wave number and wave amplitude on nonlinear mode generation. The analytical solution is based on the multiple-scale perturbation method and modal decomposition approach. The approximate analytical solution is validated using the Local Interaction Simulation Approach, implemented for nonlinear shear wave propagation. The results show that the analysed shear horizontal wavefield is distorted by material nonlinearity. The resulting displacement field can be interpreted in a form of nonlinear modes.

AB - Nonlinear shear horizontal guided wavefield is investigated analytically in plates. The major focus is on the effect of nonlinear material parameters, excitation frequency, wave number and wave amplitude on nonlinear mode generation. The analytical solution is based on the multiple-scale perturbation method and modal decomposition approach. The approximate analytical solution is validated using the Local Interaction Simulation Approach, implemented for nonlinear shear wave propagation. The results show that the analysed shear horizontal wavefield is distorted by material nonlinearity. The resulting displacement field can be interpreted in a form of nonlinear modes.

KW - Distorted dispersion curves

KW - Material nonlinearity

KW - Nonlinear modes

KW - Nonlinear wave propagation

KW - Shear horizontal waves

UR - https://www.scopus.com/pages/publications/85138112230

U2 - 10.1016/j.jsv.2022.117247

DO - 10.1016/j.jsv.2022.117247

M3 - Journal article

AN - SCOPUS:85138112230

SN - 0022-460X

VL - 540

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

M1 - 117247

ER -

Nonlinear Modes in Shear Horizontal Wave Propagation–Analytical and Numerical Analysis

Abstract

Keywords

ASJC Scopus subject areas

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