FREE VIBRATION OF STIFFENED P-FGM PLATES


D S Gayathri, K P Beena

Abstract: The vibration behavior of stiffened plates is crucial for engineering structures like ships, aircraft, platforms, and buildings, directly impacting integrity, noise control, and design optimization. This research comprehensively investigates the free vibration characteristics of stiffened Functionally Graded Material (FGM) plates, where the volume fraction of Mo (bottom) and AlN (top) varies through the thickness following a power-law (P-FGM). A Mo stiffener is placed at the center line on the metallic side. Numerical analysis employs the finite element method (FEM), with an optimization study of material property averaging methods - rule of mixture, Mori-Tanaka, Reuss, LRVE, and Hashin-Shtrikman bounds. The Mori-Tanaka model proves most accurate for graded layers and is used for simulations. Model validity is ensured through experiments on stiffened steel plates for selecting appropriate finite element types. The validated approach is applied to study how volume fraction gradient, plate geometry, and stiffener geometry affect vibration behavior in stiffened P-FGM plates.

Keywords: Free vibration, Stiffened plate, Functionally graded material, Effective material property

DOI: 10.24874/PES08.01B.012

Recieved: 10.04.2025  Revised: 01.07.2025  Accepted: 21.07.2025  
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