Theoretical Analyses of Free Vibrations Based on Higher Order Plate Theories for a Thick Circular Piezoelectric Plate
Date Issued
2015
Date
2015
Author(s)
Ji, Ming
Abstract
This paper presents the free vibration analyses of transversely isotropic circular plate and piezoelectric circular plate based on Reddy plate theory and Leissa plate theory. Governing equations and boundary conditions of transversely isotropic circular plate are derived from Hamilton’s principle.To validate the plate theories, the resonant frequencies and mode shapes of in-plane and out-of-plane vibrations are compared with those obtained from finite element analysis.Then the higher order plate theories are employed to obtain results of free vibrations for piezoelectric circular plates.The results of theoretical analyses are in good agreements with the results of numerical analyses. Finally,the two complete theories,Reddy plate theory and Leissa plate theory,which are useful and accurate are developed for establishing free vibration frequencies and mode shapes.
Subjects
Reddy plate theory
Leissa plate theory
transversely isotropic circular plate
piezoelectric circular plate
resonant frequencies
mode shapes
Type
thesis
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