Dynamic behavior of a functionally graded plate resting on Winkler elastic foundation and in contact with fluid

Ali A. Shafiee, Farhang Daneshmand, Ehsan Askari, Mojtaba Mahzoon

    Research output: Contribution to journalArticle

    18 Citations (Scopus)

    Abstract

    A semi-analytical method is developed to consider free vibrations of a functionally graded elastic plate resting on Winkler elastic foundation and in contact with a quiescent fluid. Material properties are assumed to be graded distribution along the thickness direction according to a power-law in terms of the volume fractions of the constituents. The fluid is considered to be incompressible and inviscid. In the analysis, the effect of an in-plane force in the plate due to the weight of the fluid is taken into account. By satisfying the compatibility conditions along the interface of fluid and plate, the fluid-structure interaction is taken into account and natural frequencies and mode shapes of the coupled system are acquired by employing energy methods. The results obtained from the present approach are verified by those from a finite element analysis. Besides, the effects of volume fractions of functionally graded materials, Winkler foundation stiffness and in-plane forces on the dynamic of plate are elucidated.
    Original languageEnglish
    Pages (from-to)53-71
    Number of pages19
    JournalStructural Engineering and Mechanics
    Volume50
    Issue number1
    DOIs
    Publication statusPublished - 10 Apr 2014

    Keywords

    • Dynamic behavior
    • Fluid-structure interaction
    • Functionally graded material
    • In-plane forces
    • Winkler elastic foundation

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