Sciences & technologie. B, Sciences de l’ingénieur
Volume 0, Numéro 22, Pages 92-97
2004-12-31
Free Vibration Analysis Of Isotropic And Orthotropic Clamped Plates Using Energy Approach
Abstract
The free vibration of isotropic, orthotropic clamped rectangular plates using the Rayleigh-Ritz energy approach has been studied. The solution of the eigenvalue problem is obtained by assuming a deflected shape in the form of series functions that satisfy the edge boundary conditions of the plate. Simplified analytical expressions for frequencies are obtained that describe the vibrational characteristics of the plate. To demonstrate the accuracy of the present approach the same plate is discritisated and analyzed using the finite element method and the corresponding frequencies are obtained. The frequencies obtained with energy approach agree closely with those of the conventional finite element method.
Keywords
Free vibration, Isotropic, Orthotropic, Plate, Natural frequency, fundamental frequency, F.E.M, Clamped.
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