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    Coupled Longitudinal and Bending Vibrations of a Cracked Shaft

    Source: Journal of Vibration and Acoustics:;1988:;volume( 110 ):;issue: 001::page 1
    Author:
    C. A. Papadopoulos
    ,
    A. D. Dimarogonas
    DOI: 10.1115/1.3269474
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper describes the coupling of bending and longitudinal vibration of a stationary cracked shaft with an open crack. The crack is modeled by way of a 2×2 local flexibility matrix with coupling terms. The elements of this matrix are obtained analytically. One of the elements compares well with experimental data of other investigators. The free vibration of the shaft, and the influence of the crack on the vibrational behavior of the shaft is studied. The relation of the eigenvalues of the system and the crack depth as functions of the slenderness ratio are presented. The forced vibration of the shaft is also studied and the coupling of the vibration modes is verified analytically and experimentally. The applicability of the method as a crack identification tool is demonstrated.
    keyword(s): Vibration , Fracture (Materials) , Plasticity , Eigenvalues , Free vibrations AND Functions ,
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      Coupled Longitudinal and Bending Vibrations of a Cracked Shaft

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/104798
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    contributor authorC. A. Papadopoulos
    contributor authorA. D. Dimarogonas
    date accessioned2017-05-08T23:28:53Z
    date available2017-05-08T23:28:53Z
    date copyrightJanuary, 1988
    date issued1988
    identifier issn1048-9002
    identifier otherJVACEK-28976#1_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/104798
    description abstractThis paper describes the coupling of bending and longitudinal vibration of a stationary cracked shaft with an open crack. The crack is modeled by way of a 2×2 local flexibility matrix with coupling terms. The elements of this matrix are obtained analytically. One of the elements compares well with experimental data of other investigators. The free vibration of the shaft, and the influence of the crack on the vibrational behavior of the shaft is studied. The relation of the eigenvalues of the system and the crack depth as functions of the slenderness ratio are presented. The forced vibration of the shaft is also studied and the coupling of the vibration modes is verified analytically and experimentally. The applicability of the method as a crack identification tool is demonstrated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleCoupled Longitudinal and Bending Vibrations of a Cracked Shaft
    typeJournal Paper
    journal volume110
    journal issue1
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.3269474
    journal fristpage1
    journal lastpage8
    identifier eissn1528-8927
    keywordsVibration
    keywordsFracture (Materials)
    keywordsPlasticity
    keywordsEigenvalues
    keywordsFree vibrations AND Functions
    treeJournal of Vibration and Acoustics:;1988:;volume( 110 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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