Acoustical wave propagator for time-domain flexural waves in thin plates

S.Z. Peng, Jie Pan

    Research output: Contribution to journal › Article

    15 Citations (Scopus)

    Abstract

    In this paper, an explicit acoustical wave propagator technique is introduced to describe thetime-domain evolution of acoustical waves in two-dimensional plates. A combined scheme withChebyshev polynomial expansion and fast Fourier transformation is used to implement theoperation of the acoustical wave propagator. Through this operation, the initial wave packet at t50 is mapped into the wave packet at any instant t.0. By comparison of the results of the exactanalytical solution and the Euler numerical method, we find that this new Chebyshev–Fourierscheme is highly accurate and computationally effective in predicting the acoustical wavepropagation in thin plates. This method offers an opportunity for future study of dynamic stressconcentration and time-domain energy flow in coupled structures. © 2004 Acoustical Society ofAmerica.
    Original languageEnglish
    Pages (from-to)467-474
    JournalJournal of the Acoustical Society of America
    Volume115
    Issue number2
    DOIs
    Publication statusPublished - 2004

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    thin plates
    wave packets
    propagation
    fast Fourier transformations
    polynomials
    expansion
    Waves
    energy

    Cite this

    Peng, S.Z. ; Pan, Jie. / Acoustical wave propagator for time-domain flexural waves in thin plates. In: Journal of the Acoustical Society of America. 2004 ; Vol. 115, No. 2. pp. 467-474.
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    abstract = "In this paper, an explicit acoustical wave propagator technique is introduced to describe thetime-domain evolution of acoustical waves in two-dimensional plates. A combined scheme withChebyshev polynomial expansion and fast Fourier transformation is used to implement theoperation of the acoustical wave propagator. Through this operation, the initial wave packet at t50 is mapped into the wave packet at any instant t.0. By comparison of the results of the exactanalytical solution and the Euler numerical method, we find that this new Chebyshev–Fourierscheme is highly accurate and computationally effective in predicting the acoustical wavepropagation in thin plates. This method offers an opportunity for future study of dynamic stressconcentration and time-domain energy flow in coupled structures. {\circledC} 2004 Acoustical Society ofAmerica.",
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    Peng, SZ & Pan, J 2004, 'Acoustical wave propagator for time-domain flexural waves in thin plates' Journal of the Acoustical Society of America, vol. 115, no. 2, pp. 467-474. https://doi.org/10.1121/1.1639905

    Acoustical wave propagator for time-domain flexural waves in thin plates. / Peng, S.Z.; Pan, Jie.

    In: Journal of the Acoustical Society of America, Vol. 115, No. 2, 2004, p. 467-474.

    Research output: Contribution to journal › Article

    TY - JOUR

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    AU - Peng, S.Z.

    AU - Pan, Jie

    PY - 2004

    Y1 - 2004

    N2 - In this paper, an explicit acoustical wave propagator technique is introduced to describe thetime-domain evolution of acoustical waves in two-dimensional plates. A combined scheme withChebyshev polynomial expansion and fast Fourier transformation is used to implement theoperation of the acoustical wave propagator. Through this operation, the initial wave packet at t50 is mapped into the wave packet at any instant t.0. By comparison of the results of the exactanalytical solution and the Euler numerical method, we find that this new Chebyshev–Fourierscheme is highly accurate and computationally effective in predicting the acoustical wavepropagation in thin plates. This method offers an opportunity for future study of dynamic stressconcentration and time-domain energy flow in coupled structures. © 2004 Acoustical Society ofAmerica.

    AB - In this paper, an explicit acoustical wave propagator technique is introduced to describe thetime-domain evolution of acoustical waves in two-dimensional plates. A combined scheme withChebyshev polynomial expansion and fast Fourier transformation is used to implement theoperation of the acoustical wave propagator. Through this operation, the initial wave packet at t50 is mapped into the wave packet at any instant t.0. By comparison of the results of the exactanalytical solution and the Euler numerical method, we find that this new Chebyshev–Fourierscheme is highly accurate and computationally effective in predicting the acoustical wavepropagation in thin plates. This method offers an opportunity for future study of dynamic stressconcentration and time-domain energy flow in coupled structures. © 2004 Acoustical Society ofAmerica.

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    DO - 10.1121/1.1639905

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    Peng SZ, Pan J. Acoustical wave propagator for time-domain flexural waves in thin plates. Journal of the Acoustical Society of America. 2004;115(2):467-474. https://doi.org/10.1121/1.1639905

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