Nonlocal vibration analysis of circular double-layered graphene sheets resting on an elastic foundation subjected to thermal loading

摘要: Based on the nonlocal elasticity theory, vibration behavior of circular double-layered graphene sheets (DLGSs) resting Winkler- and Pasternak-type elastic foundations in a thermal environment is investigated. The governing equation derived basis Eringen’s classical plate theory (CLPT). initial loading assumed to be due uniform temperature rise throughout thickness direction. Using generalized differential quadrature (GDQ) method periodic operators radial circumferential directions, respectively, discretized. DLGSs with clamped simply-supported boundary conditions are studied influence van der Waals (vdW) interaction forces taken into account. In numerical results, effects various parameters such as medium coefficients, radius-to-thickness ratio, parameter examined both in-phase anti-phase natural frequencies. results show that load foundation respectively decreases increases fundamental frequencies DLGSs.