Semnan University Press Mechanics of Advanced Composite Structures 2423-4826 12 3 2025 11 01 Numerical and Analytical Investigation of Free Vibration Behavior of Porous Functionally Graded Sandwich Plates 555 568 9200 10.22075/macs.2024.34962.1710 EN Emad Kadum Njim Ministry of Industry and Minerals, State Company for Rubber and Tires Industries, Najaf, Iraq 0000-0001-9694-971X Mohammed Hamza Al-Maamori Prosthetics & Orthotics Eng. Department, College of Engineering, AL-Mustaqbal University, 51001 Hillah, Babil, Iraq 0009-0006-3958-8827 Royal Madan Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun, 248002, Uttarakhand, India 0000-0002-3445-9210 Sadeq Hussein Bakhy University of Technology, Mechanical Engineering Department, Baghdad, Iraq 0000-0002-3015-1673 Muhannad Al-Waily University of Kufa, Faculty of Engineering, Mechanical Engineering Department, Najaf, Iraq 0000-0002-7630-1980 Pallavi Khobragade Department of Civil Engineering, Dev Bhoomi Uttarakhand University, Dehradun, India Lazreg Hadji Department of Civil Engineering, University of Tiaret, Tiaret, 00213, Algeria Journal Article 2024 08 05 This study investigates the free vibration analysis of a sandwich plate made of functionally graded materials (FGMs) with porosities to evaluate the natural frequency. Five parameters contribute to FGM: porous index, elastic parameters, porosity ratio, length-to-thickness ratio, and length-to-width ratio. Taking into account the thickness of the FGM plate, it is assumed that the plate has a new distribution of porosities. An investigation based on classical plate theory (CPT) examines kinematic relationships. This paper presents results for metal-ceramic functionally graded rectangular plates with a power law through the variation of volume fractions with porous ratio. A margin of error of not more than 5% applies to thin and thick plates. To validate the analytical results, a numerical investigation was conducted by employing the finite element method using ANSYS. This investigation was conducted on a 3D model of an FG system with SOLID186 an eight-noded element. Using various boundary conditions and selected models, illustrated the influence of porosity distribution characteristics on sandwich plate dynamic response. It was found that the frequency parameter of the plate increases with the increase in the sandwich structure mounting constraints. The plate thickness was divided into N layers to show the effect of several layers on the obtained results. It was found that the natural frequency for the FGM sandwich plate remains the same regardless of the number of layers for the same FGM thickness. https://macs.semnan.ac.ir/article_9200_4150d6a4725ff1484640c9d2e458a429.pdf