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    Wave Propagation in an Elastic Beam or Plate on an Elastic Foundation

    Source: Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 003::page 459
    Author:
    J. R. Lloyd
    ,
    Julius Miklowitz
    DOI: 10.1115/1.3640589
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Presented is an analysis of wave propagation in an infinite elastic plate or beam on an elastic foundation, based on a comparison of frequency spectra (or wave-train solutions) from the exact equations and existing approximate bending theories. A distinct similarity is found between the spectrum representing the more exact theory of bending and the Rayleigh-Lamb spectrum for symmetric waves in a free elastic plate, including the existence of complex branches. Good agreement between the approximate theories and the exact equations is found for soft foundations under the usual restrictions on high-frequency, short waves.
    keyword(s): Wave propagation , Spectra (Spectroscopy) , Elastic plates , Equations , Waves , Wave packets AND Bifurcation ,
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      Wave Propagation in an Elastic Beam or Plate on an Elastic Foundation

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    contributor authorJ. R. Lloyd
    contributor authorJulius Miklowitz
    date accessioned2017-05-08T22:59:12Z
    date available2017-05-08T22:59:12Z
    date copyrightSeptember, 1962
    date issued1962
    identifier issn0021-8936
    identifier otherJAMCAV-25675#459_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/87801
    description abstractPresented is an analysis of wave propagation in an infinite elastic plate or beam on an elastic foundation, based on a comparison of frequency spectra (or wave-train solutions) from the exact equations and existing approximate bending theories. A distinct similarity is found between the spectrum representing the more exact theory of bending and the Rayleigh-Lamb spectrum for symmetric waves in a free elastic plate, including the existence of complex branches. Good agreement between the approximate theories and the exact equations is found for soft foundations under the usual restrictions on high-frequency, short waves.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleWave Propagation in an Elastic Beam or Plate on an Elastic Foundation
    typeJournal Paper
    journal volume29
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3640589
    journal fristpage459
    journal lastpage464
    identifier eissn1528-9036
    keywordsWave propagation
    keywordsSpectra (Spectroscopy)
    keywordsElastic plates
    keywordsEquations
    keywordsWaves
    keywordsWave packets AND Bifurcation
    treeJournal of Applied Mechanics:;1962:;volume( 029 ):;issue: 003
    contenttypeFulltext
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