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    Stress, Vibration, and Buckling of Multilayered Cylinders

    Source: Journal of Structural Engineering:;1989:;Volume ( 115 ):;issue: 001
    Author:
    Ahmed K. Noor
    ,
    Jeanne M. Peters
    DOI: 10.1061/(ASCE)0733-9445(1989)115:1(69)
    Publisher: American Society of Civil Engineers
    Abstract: An efficient computational procedure is presented for reducing the cost of the stress, free vibration, and buckling analyses of multilayered composite cylinders. The analytical formulation is based on the linear three‐dimensional theory of elasticity. The cylinders are assumed to have simply supported curved edges, and the fibers of the different layers are either in the circumferential or longitudinal direction. The fundamental unknowns consist of the six stress components and the three displacement components of the cylinder. Each of the variables is expressed in terms of a double Fourier series in the longitudinal and circumferential coordinates, and a two‐field mixed finite element model is used for the discretization in the thickness direction. The cylinder response associated with a range of Fourier harmonics in the longitudinal and circumferential directions is approximated by a linear combination of a few global approximation vectors, which are generated at particular values of the Fourier harmonics, within that range. The full equations of the finite element model are solved for only a single pair of Fourier harmonics, and the response corresponding to the other Fourier harmonics is generated using a reduced system of equations with considerably fewer degrees of freedom.
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      Stress, Vibration, and Buckling of Multilayered Cylinders

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    contributor authorAhmed K. Noor
    contributor authorJeanne M. Peters
    date accessioned2017-05-08T20:53:06Z
    date available2017-05-08T20:53:06Z
    date copyrightJanuary 1989
    date issued1989
    identifier other%28asce%290733-9445%281989%29115%3A1%2869%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/30447
    description abstractAn efficient computational procedure is presented for reducing the cost of the stress, free vibration, and buckling analyses of multilayered composite cylinders. The analytical formulation is based on the linear three‐dimensional theory of elasticity. The cylinders are assumed to have simply supported curved edges, and the fibers of the different layers are either in the circumferential or longitudinal direction. The fundamental unknowns consist of the six stress components and the three displacement components of the cylinder. Each of the variables is expressed in terms of a double Fourier series in the longitudinal and circumferential coordinates, and a two‐field mixed finite element model is used for the discretization in the thickness direction. The cylinder response associated with a range of Fourier harmonics in the longitudinal and circumferential directions is approximated by a linear combination of a few global approximation vectors, which are generated at particular values of the Fourier harmonics, within that range. The full equations of the finite element model are solved for only a single pair of Fourier harmonics, and the response corresponding to the other Fourier harmonics is generated using a reduced system of equations with considerably fewer degrees of freedom.
    publisherAmerican Society of Civil Engineers
    titleStress, Vibration, and Buckling of Multilayered Cylinders
    typeJournal Paper
    journal volume115
    journal issue1
    journal titleJournal of Structural Engineering
    identifier doi10.1061/(ASCE)0733-9445(1989)115:1(69)
    treeJournal of Structural Engineering:;1989:;Volume ( 115 ):;issue: 001
    contenttypeFulltext
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