Mechanics & Industry
Volume 17, Number 1, 2016
|Number of page(s)||11|
|Published online||20 October 2015|
Free vibration analysis of homogeneous and FGM skew plates resting on variable Winkler-Pasternak elastic foundation
Department of Marine Technology, Amirkabir University of Technology, Tehran, Iran
a Corresponding author: firstname.lastname@example.org
Received: 25 February 2015
Accepted: 24 June 2015
In this research study, free vibration of homogeneous and functionally graded skew plates resting on Winkler-Pasternak elastic foundation is investigated. The elastic foundation is assumed to be a combination of Winkler and Pasternak elastic support with linearly or parabolically variable stiffness coefficients along the directions. Plate skewness is obtained by using a transformation from Cartesian coordinate to oblique coordinate system. The energy of the functionally graded skew plate and the elastic foundation is derived, and the natural frequency of the plate is calculated by the Rayleigh-Ritz method. The results are compared with available results in the literature, showing an excellent agreement. Furthermore, a parametric study is carried out to thoroughly investigate the effects of different boundary conditions, skew angles, inhomogeneity factors, and variable elastic foundation stiffness on the free vibration of skew plates.
Key words: Free vibration / skew plate / FGM plate / Winkler-Pasternak elastic foundation / Rayleigh-Ritz method
© AFM, EDP Sciences 2015
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