Vibration Characteristics of Graphene-reinforced Porous Cylindrical Shells with Arbitrary Boundary Conditions
To investigate the vibration characteristics of graphene-platelet-reinforced porous composite(GPLRPC)cylindrical shells under arbitrary boundary conditions,a semi-analytical method using Gegen-bauer polynomials as admissible functions is proposed in this paper.First,the effective material properties of the GPLRPC cylindrical shell are derived based on the Halpin-Tsai micromechanical model and open-cell body theory.The artificial spring technique is utilized to simulate the boundary conditions at both ends of the shell and continuous coupling conditions between shell segments.Then,based on the first-order shear deformation shell theory,the motion equations of the structure are derived and its dimensionless frequen-cies are obtained with the Rayleigh-Ritz method.Numerical calculations are performed to analyze the effects of boundary conditions,porosity coefficients,porosity types,graphene distribution patterns,gra-phene mass fractions,boundary spring stiffness,and geometric parameters on the vibration characteristics of the shell structure.The results show that Gegenbauer polynomials have excellent convergence and accu-racy as admissible functions.It is also found that boundary conditions have different effects on the frequen-cy of cylindrical shells,and the GPL-A distribution pattern and Type-Ⅱ pore distribution exhibit the best stiffness enhancement effect.Additionally,it is observed that the influence of translational springs on fre-quency is greater than rotational springs,and the effect of cylindrical shell length-to-diameter ratio is grea-ter,but the effect of diameter-to-thickness ratio is less.Overall,applying graphene to cylindrical shells has a wide range of applications,and the research results can provide data support and theoretical reference for the engineering design.
graphene-reinforcedporous compositesarbitrary boundary conditionsGegenbauer pol-ynomialartificial spring technology
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