WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 11, 2016
Usage of Finite Grid Solution for Vibration of Rectangular Plates on Elastic Foundations
Authors: , , ,
Abstract: In engineering practice, beside static case often dynamic effects must be taken into consideration for plate design problems. Plate vibration solutions have been available for regular geometries for a long time, but where irregular boundaries or partial contact are encountered difficulties arise because it will be necessary to describe the governing equation of motion in a general mathematical form. This is not easy. The intention of this study is to extend analytical solutions of the discrete one-dimensional elements resting on elastic foundation for solution of plate vibration problems. The solution can be stated as an extension of the so-called discrete parameter approach where the physical domain is broken down into discrete sub-domains, each endowed with a response suitable for the purpose of mimicking problem at hand. The numerical results of this solution technique show versatile and powerful analysis capacity to solve various vibration problems including bi-directionally stepped and plates on non-homogeneous elastic foundation.
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Keywords: Grillage of beams, vibration, plates with abrupt changes in thickness, complex support conditions, finite grid solution
Pages: 60-66
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 11, 2016, Art. #8