Analysis of Vibration Characteristics of Functionally Graded Graphene-reinforced Stepped Cylindrical Shells
The vibration characteristics of functionally gradient graphene platelets reinforced composite (FG-GPLRC) of stepped cylindrical shells were analyzed based on Rayleigh-Ritz method.Firstly,the modified Halpin-Tsai micromechani-cal model and composite inclusion theory were used to determine the equivalent material properties of the FG-GPLRC.Sec-ondly,the basic equations of each subsegment were established based on the theory of the micro-element method and the first-order shear deformation theory.Finally,the Lagrange dynamic energy functional equation was established,and the natu-ral frequencies of FG-GPLRC stepped cylindrical shells were solved by Rayleigh-Ritz method,and the effectiveness of the method was verified.The results show that the natural frequency of FG-GPLRC stepped cylindrical shell decreases with the increase of the number of layers.The mass fraction and distribution pattern of graphene can affect the natural frequency of the cylindrical shell.Under the elastic boundary condition,the larger the spring stiffness coefficient,the greater the first natu-ral frequency of the FG-GPLRC stepped cylindrical shell.
vibration and wavegraphene-reinforcedstepped cylindrical shellRayleigh-Ritz methodHalpin-Tsai micro-mechanical modeelastic boundary
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