Application of Polynomial Deflection Expression in Free-Vibration Study of Thick Rectangular Plates

International Journal of Civil Engineering

© 2020 by SSRG - IJCE Journal

Volume 7 Issue 7

Year of Publication : 2020

Authors : Ignatius C. Onyechere, Uchechukwu C. Anya, Ledum S. Gwarah., Ezekiel O. Ihemegbulem

10.14445/23488352/IJCE-V7I7P108

How to Cite?

Ignatius C. Onyechere, Uchechukwu C. Anya, Ledum S. Gwarah., Ezekiel O. Ihemegbulem, "Application of Polynomial Deflection Expression in Free-Vibration Study of Thick Rectangular Plates," SSRG International Journal of Civil Engineering, vol. 7,  no. 7, pp. 53-64, 2020. Crossref, https://doi.org/10.14445/23488352/IJCE-V7I7P108

Abstract:

Free-Vibration Study of Thick Rectangular Plates using Polynomial deflection expression was investigated in this study. Three different boundary conditions of rectangular plates were studied, they are; rectangular plates with opposite edges clamped and the other opposite edges having simple supports designated as CSCS, rectangular plate with a fixed support at one edge and simple support at the other three edges designated as CSSS, and rectangular plate with simple support at one edge and fixed at the other three edges designated as CCCS. A polynomial expression was used as the deflection equation to satisfy the various boundary conditions of the plate to obtain numerical values of the stiffness coefficients of the plate. These values were substituted into a simple analytical equation which yields the non-dimensional frequency parameters for the plates at any value of the span-depth ratio (a/t) and in-plane dimensions ratio (b/a). The values of the non-dimensional frequency parameter obtained from the present work when compared with the results of previous researchers on a similar subject were observed to be in good agreement. Thus, the present work offers a quick and satisfactory approach to the free-vibration analysis of thick plates.

Keywords:

Thick plates, polynomial expression, non-dimensional frequency parameter, in-plane dimensions, boundary conditions.

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