Indexing

Abstract: This study assesses the vibration characteristics of functionally graded rectangular plates resting on Winkler elastic foundation. Integral calculus has been applied to the beam analogy method for the evaluation of the non-dimensional frequency parameters of isotropic functionally graded (FG) rectangular plates resting on Winkler elastic foundation. The fundamental assumptions of linear, elastic, small-deflection theory of bending for thin plates due to Kirchhoff are taken into consideration. Using direct integration, characteristic orthogonal polynomials (COPs) shape function for plates clamped on two opposite edges and simply supported on two other opposite edges (SCSC) is formulated. The effect of aspect ratios on the natural frequency of the plate is examined. The findings of this study show that an increase in aspect ratio results in an increase frequency of the plate.  Adding an elastic foundation increases the non-dimensional frequency parameter of the plates. Like plates resting on Winkler foundation, an increase in aspect ratio, causes a corresponding increase in frequency for plates not subjected to the effect of Winkler elastic foundation. It is also observed that an increase in power law index decreases the frequency parameters of the plate. Results are in tandem with those in the literature.

Keywords: Free vibration, rectangular plate, Winkler foundation, functionally graded plate, analytical solution.

Title: Investigation of the Dynamic Behaviour of Functionally Graded Rectangular Plates Resting on Winkler Foundation

Author: Onwuka, D. O, Ohia, C. A, Arimanwa, J. I, Onwuka, S. U

International Journal of Recent Research in Civil and Mechanical Engineering (IJRRCME)

ISSN 2393-8471

Vol. 11, Issue 1, April 2024 - September 2024

Page No: 1-18

Paper Publications

Website: www.paperpublications.org

Published date: 09-April-2024