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    Vibrations of Solid Cylinders

    Source: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 004::page 901
    Author:
    J. R. Hutchinson
    DOI: 10.1115/1.3153811
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A series solution of the general three-dimensional equations of linear elasticity is developed and used to find accurate natural frequencies for the vibrations of solid elastic cylinders with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Results are given for height-to-diameter ratios from zero to two and a frequency parameter ωR/Cs from zero to five and for modes of circumferential order from zero to four. Comparisons of these analytical results with previous experimental results shows excellent agreement.
    keyword(s): Vibration , Cylinders , Frequency , Traction , Equations AND Elasticity ,
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      Vibrations of Solid Cylinders

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    contributor authorJ. R. Hutchinson
    date accessioned2017-05-08T23:07:49Z
    date available2017-05-08T23:07:49Z
    date copyrightDecember, 1980
    date issued1980
    identifier issn0021-8936
    identifier otherJAMCAV-26159#901_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/92774
    description abstractA series solution of the general three-dimensional equations of linear elasticity is developed and used to find accurate natural frequencies for the vibrations of solid elastic cylinders with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Results are given for height-to-diameter ratios from zero to two and a frequency parameter ωR/Cs from zero to five and for modes of circumferential order from zero to four. Comparisons of these analytical results with previous experimental results shows excellent agreement.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleVibrations of Solid Cylinders
    typeJournal Paper
    journal volume47
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3153811
    journal fristpage901
    journal lastpage907
    identifier eissn1528-9036
    keywordsVibration
    keywordsCylinders
    keywordsFrequency
    keywordsTraction
    keywordsEquations AND Elasticity
    treeJournal of Applied Mechanics:;1980:;volume( 047 ):;issue: 004
    contenttypeFulltext
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