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    Stability of a String in Axial Flow

    Source: Journal of Energy Resources Technology:;1985:;volume( 107 ):;issue: 004::page 421
    Author:
    G. S. Triantafyllou
    ,
    C. Chryssostomidis
    DOI: 10.1115/1.3231213
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The equation of motion of a long slender beam submerged in an infinite fluid moving with constant speed is derived using Hamilton’s principle. The upstream end of the beam is pinned and the downstream end is free to move. The resulting equation of motion is then used to perform the stability analysis of a string, i.e., a beam with negligible bending stiffness. It is found that the string is stable if (a ) the external tension at the free end exceeds the value of a U 2 , where a is the “added mass” of the string and U the fluid speed; or (b ) the length-over-diameter ratio exceeds the value 2Cf /π, where Cf is the frictional coefficient of the string.
    keyword(s): Stability , String , Axial flow , Equations of motion , Fluids , Hamilton's principle , Stiffness AND Tension ,
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      Stability of a String in Axial Flow

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/99630
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    contributor authorG. S. Triantafyllou
    contributor authorC. Chryssostomidis
    date accessioned2017-05-08T23:19:51Z
    date available2017-05-08T23:19:51Z
    date copyrightDecember, 1985
    date issued1985
    identifier issn0195-0738
    identifier otherJERTD2-26408#421_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/99630
    description abstractThe equation of motion of a long slender beam submerged in an infinite fluid moving with constant speed is derived using Hamilton’s principle. The upstream end of the beam is pinned and the downstream end is free to move. The resulting equation of motion is then used to perform the stability analysis of a string, i.e., a beam with negligible bending stiffness. It is found that the string is stable if (a ) the external tension at the free end exceeds the value of a U 2 , where a is the “added mass” of the string and U the fluid speed; or (b ) the length-over-diameter ratio exceeds the value 2Cf /π, where Cf is the frictional coefficient of the string.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of a String in Axial Flow
    typeJournal Paper
    journal volume107
    journal issue4
    journal titleJournal of Energy Resources Technology
    identifier doi10.1115/1.3231213
    journal fristpage421
    journal lastpage425
    identifier eissn1528-8994
    keywordsStability
    keywordsString
    keywordsAxial flow
    keywordsEquations of motion
    keywordsFluids
    keywordsHamilton's principle
    keywordsStiffness AND Tension
    treeJournal of Energy Resources Technology:;1985:;volume( 107 ):;issue: 004
    contenttypeFulltext
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