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    Extensional Vibrations and Waves in a Circular Disk and a Semi-Infinite Plate

    Source: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 003::page 541
    Author:
    D. C. Gazis
    ,
    R. D. Mindlin
    DOI: 10.1115/1.3644037
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A set of approximate equations of extensional motion of elastic plates is solved for the case of axially symmetric vibrations of a circular disk and the results are compared with experiments performed by E. A. G. Shaw. Special attention is given to a new mode of vibration, discovered by Shaw, in which the deformation is predominantly at the edge of the disk. It is shown how this mode arises from the complex conjugate roots of the frequency equation of an infinite plate. The properties of the edge-mode are examined in detail in a study of the reflection of straight-crested extensional waves at the edge of a semi-infinite plate.
    keyword(s): Waves , Vibration , Disks , Equations , Deformation , Motion , Reflection AND Elastic plates ,
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      Extensional Vibrations and Waves in a Circular Disk and a Semi-Infinite Plate

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    http://yetl.yabesh.ir/yetl1/handle/yetl/163263
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    contributor authorD. C. Gazis
    contributor authorR. D. Mindlin
    date accessioned2017-05-09T01:35:26Z
    date available2017-05-09T01:35:26Z
    date copyrightSeptember, 1960
    date issued1960
    identifier issn0021-8936
    identifier otherJAMCAV-25555#541_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163263
    description abstractA set of approximate equations of extensional motion of elastic plates is solved for the case of axially symmetric vibrations of a circular disk and the results are compared with experiments performed by E. A. G. Shaw. Special attention is given to a new mode of vibration, discovered by Shaw, in which the deformation is predominantly at the edge of the disk. It is shown how this mode arises from the complex conjugate roots of the frequency equation of an infinite plate. The properties of the edge-mode are examined in detail in a study of the reflection of straight-crested extensional waves at the edge of a semi-infinite plate.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleExtensional Vibrations and Waves in a Circular Disk and a Semi-Infinite Plate
    typeJournal Paper
    journal volume27
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3644037
    journal fristpage541
    journal lastpage547
    identifier eissn1528-9036
    keywordsWaves
    keywordsVibration
    keywordsDisks
    keywordsEquations
    keywordsDeformation
    keywordsMotion
    keywordsReflection AND Elastic plates
    treeJournal of Applied Mechanics:;1960:;volume( 027 ):;issue: 003
    contenttypeFulltext
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