Finite element analysis of natural frequencies of the FGM porous cooling plate with cutouts: A multilayered FGM approach

This study comprehensively investigates the natural frequency analysis of a shear-deformable functionally graded porous plate with cutouts, utilizing an FE-based multilayered FGM model. Analyzing natural frequencies is vital to prevent catastrophic failure in porous plates, particularly in cooling plates. Cutouts in cooling plates enhance heat dissipation, improve airflow or fluid contact, reduce weight, customize battery layouts, optimize structural integrity, simplify installation, and enable precise thermal management in critical areas. The present study employs an FE-based multilayered FGM model that considers three distinct porosity distributions (even, uneven, and sinusoidal) and incorporates a power law distribution based on a modified rule of mixture to derive the effective material properties of the FGM porous plate. Furthermore, this investigation comprehensively explores the influences of variables such as volume fraction index, thickness ratio, porosity distribution, and porosity index on the natural frequency analysis of shear-deformable FGM porous plates with cutouts, encompassing both conventional and unconventional boundary conditions. This extensive examination elucidates the collective impact of these variables on the vibrational behavior of FGM plates featuring cutouts. These parameters significantly impact the vibration behavior of the FGM plate with cutouts. The results affirm the efficacy of the presented model in analyzing intricate FGM structures