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| Free vibration analysis of orthotropic plates with variable thickness resting on non-uniform elastic foundation by element free Galerkin method
Ehsan Bahmyari* and Ahmad Rahbar-Ranji
The Journal of Mechanical Science and Technology, vol. 26, no. 9, pp.2685-2694, 2012
Abstract : This study intends to investigate the vibration behavior of a thin square orthotropic plate resting on non-uniform elastic foundation and
its thickness varying in one or two directions. By using the classical plate theory and employing element free Galerkin method, it is
shown that the fundamental frequency coefficients obtained are in good agreement with available results in the literature. The effects of
thickness variation, foundation parameter and boundary conditions on frequency are investigated. The results show that the method converges
very fast regardless of parameters involved.
Keyword : Element free Galerkin method; Non-uniform elastic foundation; Orthotropic thin plate; Plate of variable thickness; Vibration of plate |
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