Numerical Computation of First Three Frequencies for Circular Plate with Transcendental Thickness
Neetu Singh1, Vipin Saxena2

1Neetu Singh*, Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow, India.
2Vipin Saxsena, Department of Computer Science, Babasaheb Bhimrao Ambedkar University, Lucknow, India.
Manuscript received on March 16, 2020. | Revised Manuscript received on March 24, 2020. | Manuscript published on March 30, 2020. | PP: 2304-2409 | Volume-8 Issue-6, March 2020. | Retrieval Number: F8112038620/2020©BEIESP | DOI: 10.35940/ijrte.F8112.038620

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Abstract: 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.
Keywords: Rayleigh-Ritz, Natural Frequencies, Transcendent Thickness, Circular Plate, Taper Parameter, Boundary Conditions.
Scope of the Article: Numerical Modelling of Structures.