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    Some Intriguing Results Pertaining to Functionally Graded Columns

    Source: Journal of Applied Mechanics:;2013:;volume( 080 ):;issue: 004::page 41021
    Author:
    Elishakoff, Isaac
    ,
    Miglis, Yohann
    DOI: 10.1115/1.4007983
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Some intriguing results are reported in conjunction with closed form solutions obtained for a clampedfree vibrating inhomogeneous column under an axial concentrated load using the semiinverse method. Fourth order polynomial is postulated for both the vibration mode shape and buckling displacement. Solution is provided for the flexural rigidity and the natural frequency. It is shown that, for each level of axial loading, there may exist up to five flexural rigidities satisfying the governing differential equation and boundary conditions.
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      Some Intriguing Results Pertaining to Functionally Graded Columns

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    contributor authorElishakoff, Isaac
    contributor authorMiglis, Yohann
    date accessioned2017-05-09T00:56:14Z
    date available2017-05-09T00:56:14Z
    date issued2013
    identifier issn0021-8936
    identifier otherjam_80_4_041021.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/150875
    description abstractSome intriguing results are reported in conjunction with closed form solutions obtained for a clampedfree vibrating inhomogeneous column under an axial concentrated load using the semiinverse method. Fourth order polynomial is postulated for both the vibration mode shape and buckling displacement. Solution is provided for the flexural rigidity and the natural frequency. It is shown that, for each level of axial loading, there may exist up to five flexural rigidities satisfying the governing differential equation and boundary conditions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSome Intriguing Results Pertaining to Functionally Graded Columns
    typeJournal Paper
    journal volume80
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4007983
    journal fristpage41021
    journal lastpage41021
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2013:;volume( 080 ):;issue: 004
    contenttypeFulltext
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