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    In-Plane Flexural Vibrations of Circular Rings

    Source: Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003::page 620
    Author:
    S. S. Rao
    ,
    V. Sundararajan
    DOI: 10.1115/1.3564726
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An equation of motion governing the free, in-plane vibrations of a circular ring is developed to include the effects of shear deformation and rotatory inertia. This equation is solved to find the natural frequencies of vibration of free rings and stiffened rings and the results compared with those given by a classical formula. The frequencies for a free ring are found to compare well with the experimental values of Kuhl [5]. Natural frequencies of circular arcs are calculated from the classical equation with hinged and fixed end conditions and the results compared with the approximate values given by Den Hartog [8, 9].
    keyword(s): Vibration , Frequency , Equations , Formulas , Inertia (Mechanics) , Equations of motion AND Shear deformation ,
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      In-Plane Flexural Vibrations of Circular Rings

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/131366
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    contributor authorS. S. Rao
    contributor authorV. Sundararajan
    date accessioned2017-05-09T00:15:20Z
    date available2017-05-09T00:15:20Z
    date copyrightSeptember, 1969
    date issued1969
    identifier issn0021-8936
    identifier otherJAMCAV-25895#620_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/131366
    description abstractAn equation of motion governing the free, in-plane vibrations of a circular ring is developed to include the effects of shear deformation and rotatory inertia. This equation is solved to find the natural frequencies of vibration of free rings and stiffened rings and the results compared with those given by a classical formula. The frequencies for a free ring are found to compare well with the experimental values of Kuhl [5]. Natural frequencies of circular arcs are calculated from the classical equation with hinged and fixed end conditions and the results compared with the approximate values given by Den Hartog [8, 9].
    publisherThe American Society of Mechanical Engineers (ASME)
    titleIn-Plane Flexural Vibrations of Circular Rings
    typeJournal Paper
    journal volume36
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3564726
    journal fristpage620
    journal lastpage625
    identifier eissn1528-9036
    keywordsVibration
    keywordsFrequency
    keywordsEquations
    keywordsFormulas
    keywordsInertia (Mechanics)
    keywordsEquations of motion AND Shear deformation
    treeJournal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003
    contenttypeFulltext
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