Reddy’s third-order shear deformation shell theory for free vibration analysis of rotating stiffened advanced nanocomposite toroidal shell segments in thermal environments

Free Vibration Analysis of Toroidal Shell Segments Reinforced by Graded Graphene in Elastic Medium

“…n (m = 1) Sofiyev et al (15) Shah et al (16) Vuong et al (17) Present Study In the present study, the influences of GPLs weight fraction, types of distribution patterns, elastic foundation, and geometric properties on the vibration of toroidal shell segments on the dimensionless frequency are investigated. mechanical properties are: E m =2,5 GPa,E g =1 100 GPa, ρ m =1,15 g/cm 3 , ρ g =1,06 g/cm 3 ,v m =0,34, https://doi.org/10.56294/sctconf2024823 5 Khalaf AS, et al v g =0,2, l g =2,5 μm, w g =1,5 nm, t g =1,06 nm. (6) The shell and foundation properties used in this investigation are h = 0.01 m, a 0/h =80, R/a 0 =10, L/a 0 =3, W g =1 %, m=1, n=9,K 1 =K 2 =0,and the dimensionless natural frequency is Ω= ω mn a 0 √(2(ρ m /E m )).…”

“…Bich et al (2,3,4) investigated the linear and nonlinear buckling of functionally graded toroidal segments subjected to external pressure based on the classical shell theory (CST). Nguyen et al (5) studied free vibration characteristics of rotating stiffened toroidal shells based on third-order shear deformation theory (TSDT) reinforced with GPL in thermal environments using Rayleigh-Ritz procedure. Shahmohammadi et al (6,7) presented an analytical approach for static analyses, free-vibration, and stability of three-phase carbon fibers -(epoxy nanofillers) convex/concave toroidal shells based on the first-order shear deformation theory (FSDT).…”

Thermal buckling and postbuckling of functionally graded multilayer GPL-reinforced composite beams on nonlinear elastic foundations

“…Feng et al [ 26 ] investigated the nonlinear free vibration of graphene platelet-reinforced multilayer polymer composite beams with nonuniform distribution in the thickness region, and obtained the impact of GPL and size on the intrinsic frequency. A rotating stiffened toroidal functionally graded GPLRC shell segment was obtained by Nguyen et al [ 27 ] to give free vibration in a temperature environment. The nonlinear eigenvalue buckling of a functionally graded multilayer GPLRC cylindrical shell was explored by Wang et al [ 28 ] using the finite element method.…”