Bending of an elastic rectangular clamped plate using Bergan-Wang approach

Kamal Hassan, Samer Guirguis and Hassan El-Hamouly

African Journal of Engineering Research
Published: Febraury 22 2017
Volume 5, Issue 1
Pages 7-17

Abstract

Bergan-Wang approach has one governing equation in one variable only, namely the transverse deflection of a moderately thick plate. This approach faces no numerical difficulties as the thickness becomes very small. The solution of a fully clamped rectangular plate is presented using two different series solutions. The results of a square plate are compared with the results of the classical plate theory, Reissner-Mindlin theory and the three dimensional theory of elasticity for different aspect ratios. Two types of clamped boundary conditions are investigated. The obtained results show that Bergan-Wang approach gives good agreement for both very thin and moderately thick plates.

Keywords: Moderately thick plate, eighth-order partial differential equation, Reissner-Mindlin theory, Bergan-Wang approach, clamped boundary conditions.

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