Frequency of the composite shell rested on the complex non-polynomial viscoelastic media involving friction force

Abstract

In this study, a 3D-flexibility theory is employed in order to investigate the frequency behavior of the composite cylindrical shells on the elastic substrate. The current composite structure is reinforced by functionally graded graphene oxide powders (FG-GOPs). It is assumed that the system is resting on an elastic foundation, in which friction force in the horizontal direction, as well as viscoelastic substrate, are taken into account. The results are extracted by the differential quadrature method (DQM). Additionally, the results are validated by COMSOL Multi-physics software. Lastly, the effect of in-plane boundary conditions, Biot’s coefficient, circumferential as well as initial radial stresses, and FG-GOP’s weight fraction on the frequency responses of the FG-GOPRC cylindrical shells on the elastic substrate is studied. Also, when Biot’s coefficient intensifies, the negative impact of the geometry parameter on the frequency response is more significant than the positive influence from the geometry parameter.