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    Effect of Small Hub-Radius Change on Bending Frequencies of a Rotating Beam

    Source: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 003::page 548
    Author:
    Hsu Lo
    ,
    J. E. Goldberg
    ,
    J. L. Bogdanoff
    DOI: 10.1115/1.3644038
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: By the method of perturbation, a simple relation is formulated for the determination of the change of bending frequencies of a rotating beam due to a small change of hub radius. The first-order solution shows that a frequency parameter γ is a linear function of the hub-radius change and the constant of proportionality is readily obtainable from known parameters. The frequency ω itself can also be represented by a linear function of the hub-radius change. This confirms the results previously obtained by Boyce by repeated solutions of the differential equations for a particular beam. Higher-order solutions are also established and shown to be convergent within the limitation imposed on the amount of the hub-radius change allowable.
    keyword(s): Frequency , Rotating beams AND Differential equations ,
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      Effect of Small Hub-Radius Change on Bending Frequencies of a Rotating Beam

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/163374
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    contributor authorHsu Lo
    contributor authorJ. E. Goldberg
    contributor authorJ. L. Bogdanoff
    date accessioned2017-05-09T01:35:43Z
    date available2017-05-09T01:35:43Z
    date copyrightSeptember, 1960
    date issued1960
    identifier issn0021-8936
    identifier otherJAMCAV-25555#548_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163374
    description abstractBy the method of perturbation, a simple relation is formulated for the determination of the change of bending frequencies of a rotating beam due to a small change of hub radius. The first-order solution shows that a frequency parameter γ is a linear function of the hub-radius change and the constant of proportionality is readily obtainable from known parameters. The frequency ω itself can also be represented by a linear function of the hub-radius change. This confirms the results previously obtained by Boyce by repeated solutions of the differential equations for a particular beam. Higher-order solutions are also established and shown to be convergent within the limitation imposed on the amount of the hub-radius change allowable.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleEffect of Small Hub-Radius Change on Bending Frequencies of a Rotating Beam
    typeJournal Paper
    journal volume27
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3644038
    journal fristpage548
    journal lastpage550
    identifier eissn1528-9036
    keywordsFrequency
    keywordsRotating beams AND Differential equations
    treeJournal of Applied Mechanics:;1960:;volume( 027 ):;issue: 003
    contenttypeFulltext
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