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    Propagation of Harmonic Waves in Orthotropic Circular Cylindrical Shells

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001::page 168
    Author:
    A. E. Armenàkas
    ,
    E. S. Reitz
    DOI: 10.1115/1.3422918
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this investigation, the general frequency equation for trains of harmonic waves having an arbitrary number of circumferential nodes, traveling in orthotropic, circular, cylindrical shells is established on the basis of the three-dimensional linear theory of elasticity, by expanding the displacement components in power series of the radial coordinate. Simpler forms of the frequency equation for axisymmetric nontorsional and torsional motion and for longitudinal-shear and plane-strain motion are established and discussed. The frequency equation has been evaluated numerically on an IBM 360/50 digital computer system and the numerical results are compared with those obtained on the basis of an approximate shell theory.
    keyword(s): Waves , Circular cylindrical shells , Equations , Motion , Elasticity , Shear (Mechanics) , Computers , Plane strain , Shells , Trains , Travel AND Displacement ,
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      Propagation of Harmonic Waves in Orthotropic Circular Cylindrical Shells

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/163569
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    contributor authorA. E. Armenàkas
    contributor authorE. S. Reitz
    date accessioned2017-05-09T01:36:03Z
    date available2017-05-09T01:36:03Z
    date copyrightMarch, 1973
    date issued1973
    identifier issn0021-8936
    identifier otherJAMCAV-25974#168_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163569
    description abstractIn this investigation, the general frequency equation for trains of harmonic waves having an arbitrary number of circumferential nodes, traveling in orthotropic, circular, cylindrical shells is established on the basis of the three-dimensional linear theory of elasticity, by expanding the displacement components in power series of the radial coordinate. Simpler forms of the frequency equation for axisymmetric nontorsional and torsional motion and for longitudinal-shear and plane-strain motion are established and discussed. The frequency equation has been evaluated numerically on an IBM 360/50 digital computer system and the numerical results are compared with those obtained on the basis of an approximate shell theory.
    publisherThe American Society of Mechanical Engineers (ASME)
    titlePropagation of Harmonic Waves in Orthotropic Circular Cylindrical Shells
    typeJournal Paper
    journal volume40
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422918
    journal fristpage168
    journal lastpage174
    identifier eissn1528-9036
    keywordsWaves
    keywordsCircular cylindrical shells
    keywordsEquations
    keywordsMotion
    keywordsElasticity
    keywordsShear (Mechanics)
    keywordsComputers
    keywordsPlane strain
    keywordsShells
    keywordsTrains
    keywordsTravel AND Displacement
    treeJournal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001
    contenttypeFulltext
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