Investigation of Dynamic Saint-Venant’s Principle in a Cylindrical Waveguide—Experimental and Numerical Results

L. He, Guowei Ma, B. Karp, Q.M. Li

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    © 2015, Society for Experimental Mechanics. This paper experimentally and numerically investigates the axial decay of end effects in a cylindrical waveguide under transient loading. End effects, which are defined as an edge response deviating from that of the far field response, are analyzed by applying waves with different spatial distribution on the edge of a waveguide. Four impactors having the same cross-sectional area but different head shapes are impinged upon a long cylindrical waveguide. Surface strains at different locations along the waveguide are recorded and compared. Results from both the experimental and numerical studies indicate that the far field response is not sensitive to the spatial distribution of the applied transient loading. The typical distance beyond which the end effects could be ignored is estimated to be about 2.2 times of the bar radius. These results provide evidence on the existence of dynamic version of Saint-Venant’s principle in cylindrical waveguides in high frequency regime.
    Original languageEnglish
    Pages (from-to)623-634
    JournalExperimental Mechanics
    Volume55
    Issue number3
    DOIs
    Publication statusPublished - 2015

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    Circular waveguides
    Spatial distribution
    Waveguides
    Mechanics

    Cite this

    @article{d33422906e3e4fd79ccff66683c4802b,
    title = "Investigation of Dynamic Saint-Venant’s Principle in a Cylindrical Waveguide—Experimental and Numerical Results",
    abstract = "{\circledC} 2015, Society for Experimental Mechanics. This paper experimentally and numerically investigates the axial decay of end effects in a cylindrical waveguide under transient loading. End effects, which are defined as an edge response deviating from that of the far field response, are analyzed by applying waves with different spatial distribution on the edge of a waveguide. Four impactors having the same cross-sectional area but different head shapes are impinged upon a long cylindrical waveguide. Surface strains at different locations along the waveguide are recorded and compared. Results from both the experimental and numerical studies indicate that the far field response is not sensitive to the spatial distribution of the applied transient loading. The typical distance beyond which the end effects could be ignored is estimated to be about 2.2 times of the bar radius. These results provide evidence on the existence of dynamic version of Saint-Venant’s principle in cylindrical waveguides in high frequency regime.",
    author = "L. He and Guowei Ma and B. Karp and Q.M. Li",
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    Investigation of Dynamic Saint-Venant’s Principle in a Cylindrical Waveguide—Experimental and Numerical Results. / He, L.; Ma, Guowei; Karp, B.; Li, Q.M.

    In: Experimental Mechanics, Vol. 55, No. 3, 2015, p. 623-634.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Investigation of Dynamic Saint-Venant’s Principle in a Cylindrical Waveguide—Experimental and Numerical Results

    AU - He, L.

    AU - Ma, Guowei

    AU - Karp, B.

    AU - Li, Q.M.

    PY - 2015

    Y1 - 2015

    N2 - © 2015, Society for Experimental Mechanics. This paper experimentally and numerically investigates the axial decay of end effects in a cylindrical waveguide under transient loading. End effects, which are defined as an edge response deviating from that of the far field response, are analyzed by applying waves with different spatial distribution on the edge of a waveguide. Four impactors having the same cross-sectional area but different head shapes are impinged upon a long cylindrical waveguide. Surface strains at different locations along the waveguide are recorded and compared. Results from both the experimental and numerical studies indicate that the far field response is not sensitive to the spatial distribution of the applied transient loading. The typical distance beyond which the end effects could be ignored is estimated to be about 2.2 times of the bar radius. These results provide evidence on the existence of dynamic version of Saint-Venant’s principle in cylindrical waveguides in high frequency regime.

    AB - © 2015, Society for Experimental Mechanics. This paper experimentally and numerically investigates the axial decay of end effects in a cylindrical waveguide under transient loading. End effects, which are defined as an edge response deviating from that of the far field response, are analyzed by applying waves with different spatial distribution on the edge of a waveguide. Four impactors having the same cross-sectional area but different head shapes are impinged upon a long cylindrical waveguide. Surface strains at different locations along the waveguide are recorded and compared. Results from both the experimental and numerical studies indicate that the far field response is not sensitive to the spatial distribution of the applied transient loading. The typical distance beyond which the end effects could be ignored is estimated to be about 2.2 times of the bar radius. These results provide evidence on the existence of dynamic version of Saint-Venant’s principle in cylindrical waveguides in high frequency regime.

    U2 - 10.1007/s11340-014-9974-z

    DO - 10.1007/s11340-014-9974-z

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    JO - Experimental Mechanics

    JF - Experimental Mechanics

    SN - 0014-4851

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