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    Vibration Analysis for Rotating Ring Stiffened Cylindrical Shells With Arbitrary Boundary Conditions

    Source: Journal of Vibration and Acoustics:;2013:;volume( 135 ):;issue: 006::page 61010
    Author:
    Liu, Lun
    ,
    Cao, Dengqing
    ,
    Sun, Shupeng
    DOI: 10.1115/1.4024220
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The free vibration analysis of rotating ringstiffened cylindrical shells with arbitrary boundary conditions is investigated by employing the Rayleigh–Ritz method. Six sets of characteristic orthogonal polynomials satisfying six classical boundary conditions are constructed directly by employing Gram–Schmidt procedure and then are employed to represent the general formulations for the displacements in any axial mode of free vibrations for shells. Employing those formulations during the Rayleigh–Ritz procedure and based on Sanders' shell theory, the eigenvalue equations related to rotating ringstiffened cylindrical shells with various classical boundary conditions have been derived. To simulate more general boundaries, the concept of artificial springs is employed and the eigenvalue equations related to free vibration of shells under elastic boundary conditions are derived. By adjusting the stiffness of artificial springs, those equations can be used to investigate the vibrational characteristics of shells with arbitrary boundaries. By comparing with the available analytical results for the ringstiffened cylindrical shells and the rotating shell without stiffeners, the method proposed in this paper is verified. Strong convergence is also observed from convergence study. Further, the effects of parameters, such as the stiffness of artificial springs, the rotating speed of the ringstiffened shell, the number of ring stiffeners and the depth to width ratio of ring stiffeners, on the natural frequencies are studied.
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      Vibration Analysis for Rotating Ring Stiffened Cylindrical Shells With Arbitrary Boundary Conditions

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    http://yetl.yabesh.ir/yetl1/handle/yetl/153662
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    contributor authorLiu, Lun
    contributor authorCao, Dengqing
    contributor authorSun, Shupeng
    date accessioned2017-05-09T01:04:24Z
    date available2017-05-09T01:04:24Z
    date issued2013
    identifier issn1048-9002
    identifier othervib_135_06_061010.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153662
    description abstractThe free vibration analysis of rotating ringstiffened cylindrical shells with arbitrary boundary conditions is investigated by employing the Rayleigh–Ritz method. Six sets of characteristic orthogonal polynomials satisfying six classical boundary conditions are constructed directly by employing Gram–Schmidt procedure and then are employed to represent the general formulations for the displacements in any axial mode of free vibrations for shells. Employing those formulations during the Rayleigh–Ritz procedure and based on Sanders' shell theory, the eigenvalue equations related to rotating ringstiffened cylindrical shells with various classical boundary conditions have been derived. To simulate more general boundaries, the concept of artificial springs is employed and the eigenvalue equations related to free vibration of shells under elastic boundary conditions are derived. By adjusting the stiffness of artificial springs, those equations can be used to investigate the vibrational characteristics of shells with arbitrary boundaries. By comparing with the available analytical results for the ringstiffened cylindrical shells and the rotating shell without stiffeners, the method proposed in this paper is verified. Strong convergence is also observed from convergence study. Further, the effects of parameters, such as the stiffness of artificial springs, the rotating speed of the ringstiffened shell, the number of ring stiffeners and the depth to width ratio of ring stiffeners, on the natural frequencies are studied.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleVibration Analysis for Rotating Ring Stiffened Cylindrical Shells With Arbitrary Boundary Conditions
    typeJournal Paper
    journal volume135
    journal issue6
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4024220
    journal fristpage61010
    journal lastpage61010
    identifier eissn1528-8927
    treeJournal of Vibration and Acoustics:;2013:;volume( 135 ):;issue: 006
    contenttypeFulltext
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