Nonlinear static and dynamic stability of functionally graded toroidal shell segments under axial compression

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

“…Be knowledgeable that when R 1 →∞, a cylindrical shell can be described as a special case of a toroidal shell segment. The geometrical dimensions of the shell and foundation properties are as follows: E=2,1 Gpa,v=0,3,ρ=7850 kg/m^3,K 1 =10 7 N/m 3 , K 2 =1,5×10 7 N/m,h=0,001 m,L=0,41 m,a 0 =0,3015 m. As a comparison to the outcomes indicated by Sofiyev et al (15) based on a shear deformation theory, the outcomes indicated by Shah et al (16) using Love first-order shell theory and a wave propagation method, and the outcomes indicated by Vuong et al (17) based on Third order shear deformation theory, fundamental frequencies have been calculated and listed in table 1.…”

“…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.…”

Nonlinear Free Vibration Analysis of Functionally Graded Porous Conical Shells Reinforced with Graphene Nanoplatelets

“…For the joined conicalconical shells made of epoxy-enriched with graphene nanoplatelets, Damercheloo et al [16] studied free vibration and examined the influences of the boundary conditions, the length-to-small radius ratio, and semi-vertex angle in two shell segments. Using the finite element method in conjunction with a higherorder shear deformation theory, Singha et al [17] investigated the free vibration behaviour of rotating pre-twisted sandwich conical shell panels with functionally graded graphene-reinforced composite face sheets and homogenous cores in a uniform thermal environment. In their studies, the influence of graphene distribution patterns on the fundamental frequencies is discussed with an emphasis on triggering parameters like pre-twist angle, cone lengthto-thickness ratio, core-to-face sheets thickness ratio, and dimensionless rotational speed.…”