Open AccessNumerical Computation of First Three Frequencies for Circular Plate with Transcendental Thickness
Author(s) -
Abhishek Singh,
Vipin Saxsena
Publication year - 2020
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.f8112.038620
Subject(s) - transcendental equation , isotropy , computation , transcendental number , mathematics , transcendental function , boundary value problem , mathematical analysis , geometry , numerical analysis , optics , physics , algorithm
In the present work, a very important approach Rayleigh-Ritz method has been used to compute the first few frequencies of a circular plate. The boundary conditions of circular plate are considered as a clamped and simply-supported. Different types of thickness variation of circular plate have been considered by researchers and a vast numbers of numerical results are available in the literature but none of the researchers consider the transcendental thickness variation which has been considered in the present work. The type of circular plate is considered as isotropic plate and significant numerical computations have been done for finding first three frequencies by varying the order of approximation and also the taper parameter. In special cases, results have been compared for uniform, linearly varying and transcendental thickness variations of circular plate and computed result are presented in the form of tables and graphs.