Affiliations: Department of Marine Technology, Amirkabir University
of Technology, Tehran, Iran | Institute for Aerospace Studies, University of
Toronto, Toronto, ON, Canada | Department of Mechanical Engineering, Shahid Chamran
University of Ahwaz, Khuzestan, Iran | Department of Mathematics, Persian Gulf University,
Bushehr, Iran
Note: [] Corresponding author: Ehsan Bahmyari, Department of Marine
Technology, Amirkabir university of Technology Hafez Ave, No. 424, Tehran,
Iran. Tel.: +98 216 454 3120; E-mail: Ehsan_Bahmyari@aut.ac.ir
Abstract: The element free Galerkin method is used to analyze free vibration
of thin plates resting on Pasternak elastic foundations with all possible types
of classical boundary conditions. Convergence of solution is studied by
increasing number of nodes for different boundary conditions and foundation
parameters. Upon comparison with available results in literature, it was found
that the method converges very fast and has very good accuracy even with small
number of nodes. Applicability of the method was shown by solving numerical
examples with all possible combinations of boundary conditions and different
values of foundation parameters.
Keywords: Element free Galerkin method, Pasternak foundation, vibration of plate
