Abstract
Functionally graded materials have garnered significant attention due to their vast array of industrial applications. These substances possess a composition that is non-uniform, resulting in material characteristics that fluctuate across the depth, transitioning between different surfaces. In this research paper, our exploration delves into the analysis of unconstrained vibrations occurring in circular plates that are fully clamped, formed from materials with functional gradation. The influence of diverse elements like the thickness of the plate and the count of perforations on the intrinsic frequencies of the plate is examined. Additionally, a comparison between the inherent frequencies of functionally graded circular plates and their isotropic counterparts, aiming to distinguish disparities in performance characteristics is undertaken. In the present study, power law distribution is utilized to represent the modulation in material attributes, grounded in the volume fraction of constituents. Through this comprehensive investigation, we aim to gain insights into the intricate behavior of functionally graded materials and provide valuable information regarding the performance of the plate in practical applications.
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