The vibration of an initially compressed plate having a circular geometry and orthotropy is examined in an affine space. The classical linear plate theory and Hamilton's principle are employed. The equations of motion of the plate are particularly simple in the chosen affine space, permitting a free-vibration study of the entire spectrum of composite materials with polar orthotropy. Approximate but very accurate standing-wave-type mode shapes are used in solving the essentially double eigenvalue problem to determine the effects of midplane forces on the vibration frequencies of the plate. The results indicate that the affine-space frequency increases with increasing stiffness ratio but decreases with increasing midplane compression. It is also discovered that, contrary to the trends observed for rectangular geometry and orthotropy by Oyibo (1981), Brunelle (1982), and Brunelle and Oyibo (1983), the affine-space frequency increases with increasing generalized Poisson's ratio.


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    Titel :

    Vibrations of circular orthotropic plates in affine space


    Beteiligte:
    Oyibo, G. A. (Autor:in) / Brunelle, E. J. (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    01.02.1985



    Medientyp :

    Sonstige


    Format :

    Keine Angabe


    Sprache :

    Englisch


    Schlagwörter :


    Vibrations of circular orthotropic plates in affine space

    OYIBO, G. A. / BRUNELLE, E. J. | AIAA | 1985


    Axisymmetric vibrations of polar orthotropic circular plates

    PRATHAP, G. / VARADAN, T. K. | AIAA | 1976




    Buckling of Orthotropic Circular Plates

    A.S.J. SWAMIDAS AND VINCENT X. KUNUKKASSERIL | AIAA | 1973