“…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 )).…”