Free vibration analysis of composite face sandwich plate strengthens by Al2O3 and SiO2 nanoparticles materials

The main novelty of the paper is that analytical, experimental, and numerical analyses are used to investigate the free vibration problem of a sandwich structure in which Nanocomposites skins (SiO 2 /epoxy and Al 2 O 3 /epoxy) at different densities are used as the face sheet. The volume fraction's of nanoparticle addition varies (0% to 2.5%). The present free vibration was derived based on Kirchhoff's theory and aspiration to obtain the natural frequency. The results show that in structures with SiO 2 nanoparticles with a density of 1180 kg⁄m 3, the optimum increase (V F = 2.5%) is 50% in Young's modulus and 22% in natural frequency, while at a density of 1210 kg⁄m 3 is 56 % in Young's modulus and 24.5% in natural frequency. Furthermore, the same structures reinforced with Al 2 O 3 Nano-particles show that at the density of 1180 kg⁄m 3 , the optimum (V F =2.5%) parentage increase in Young's modulus is 41% and 19% in natural frequency, while at the density of 1210 kg⁄m 3 is 46% in Young's modulus and 21% in natural frequency. A numerical investigation was used to validate the obtained results of the analytical solution. The findings also show an acceptable convergence between analytical and numerical techniques with a maximum discrepancy not exceeding 3%.