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    On the Vibration of a Rotating Disk

    Source: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004::page 1143
    Author:
    S. Barasch
    ,
    Y. Chen
    DOI: 10.1115/1.3422847
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The equation of motion of a rotating disk, clamped at the inner radius and free at the outer radius, is solved by reducing the fourth-order equation of motion to a set of four first-order equations subject to arbitrary initial conditions. A modified Adams’ method is used to numerically integrate the system of differential equations. Results show that Lamb-Southwell’s approximate calculation of the frequency is justified.
    keyword(s): Vibration , Rotating Disks , Equations of motion , Differential equations AND Equations ,
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      On the Vibration of a Rotating Disk

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    contributor authorS. Barasch
    contributor authorY. Chen
    date accessioned2017-05-09T01:14:46Z
    date available2017-05-09T01:14:46Z
    date copyrightDecember, 1972
    date issued1972
    identifier issn0021-8936
    identifier otherJAMCAV-25969#1143_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/156979
    description abstractThe equation of motion of a rotating disk, clamped at the inner radius and free at the outer radius, is solved by reducing the fourth-order equation of motion to a set of four first-order equations subject to arbitrary initial conditions. A modified Adams’ method is used to numerically integrate the system of differential equations. Results show that Lamb-Southwell’s approximate calculation of the frequency is justified.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Vibration of a Rotating Disk
    typeJournal Paper
    journal volume39
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422847
    journal fristpage1143
    journal lastpage1144
    identifier eissn1528-9036
    keywordsVibration
    keywordsRotating Disks
    keywordsEquations of motion
    keywordsDifferential equations AND Equations
    treeJournal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004
    contenttypeFulltext
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