Free Vibration Analysis on Functionally Graded Material Plates with Diverse Porosity Layers

This research addresses the challenge of optimizing the dynamic performance of functionally graded porous plates, which are widely used in aerospace, automotive, and structural applications, where internal porosities can significantly impact their stability and functionality.This study mainly uses an effective layer wise model to examine how the internal porosities affect the mechanical stability and natural frequencies of FGP plates.According to the ratio of porosity distribution, porosity locations, and three typical thicknesses, the vibration behaviors of functionally graded plates are analyzed.The effective material properties are modeled employing a power law.The primary objective of this study is to understand how these factors impact the vibrational behavior of FGM plates and to provide validated results that can serve as a reliable reference for future research.The model's validity and efficiency were established through a rigorous comparison with existing literature.The investigation findings highlight the significant influence of porosity distribution on the mechanical behavior of functionally graded plates.The highest frequency obtained was 259.81 Hz for a plate thickness of 20 mm and a porosity ratio of 0.3 when the porous layer was located in the middle, resulting in an 11.9% increase in the frequency compared to other porosity distributions.These results hold potential as a valuable reference point for future research endeavors in this domain.