Avinash, A.Mahesh, V.Prabhu, R.T.Gowdru Chandrashekarappa, M.G.C.Bontha, S.2026-02-052021Archives of Foundry Engineering, 2021, 21, 1, pp. 101-11218973310https://doi.org/10.24425/afe.2021.136085https://idr.nitk.ac.in/handle/123456789/23454In this work, the free vibration behaviour of A357 composite plate reinforced with dual particle size (DPS) (3 wt.% coarse + 3 wt.% fine, 4 wt.% coarse + 2 wt.% fine, and 2 wt.% coarse + 4 wt.% fine) SiC is evaluated using the finite element method. To this end, first-order shear deformation theory (FSDT) has been used. The equations of motion have been derived using Hamilton's principle and the solution has been obtained through condensation technique. A thorough parametric study was conducted to understand the effect of reinforcement size and weight fraction, boundary conditions, aspect ratio and length-to-width ratio of plate geometry on natural frequencies of A357/DPS-SiC composite plates. Results reveal significant influence of all the above variables on natural frequency of the composite plates. In all the cases, A357 composite plate reinforced with 4 wt.% coarse and 2 wt.% fine SiC particles displayed the highest natural frequency owing to its higher elastic and rigidity modulus. Further, the natural frequencies increase with decrease in aspect ratio of the plate geometry. Natural frequency also decreases with increase in the number of free edges. Lastly, increasing the length-to-width ratio drastically improves the natural frequency of the plates. © 2021 Polish Academy of Sciences. All rights reserved.Aspect ratioEquations of motionFinite element methodMetallic matrix compositesNatural frequenciesParticle reinforced compositesParticle sizeParticle size analysisPlates (structural components)Shear deformationSilicon carbideVibration analysisComposite platesCondensation techniquesFirst-order shear deformation theoryFree-vibration analysisHamilton's principleLength-to-width ratioParametric studyWeight fractionsReinforcement