article · Mechanics of Advanced Materials and Structures
Free vibrational behaviour of porous nanocomposite cylindrical shells reinforced with graphene platelets is analysed using theoretical modelling. The reinforcement platelets are arranged either uniformly or non-uniformly across the thickness of the shell, while porosity patterns are modelled as uniform, symmetric, or asymmetric. To determine the overall elastic properties of the nanocomposite material, the Halpin-Tsai micromechanics model is applied. Structural mechanics are represented using first order shear deformation theory, and vibration frequencies are calculated through Galerkin's method. The resulting data demonstrate that several critical factors govern the vibrational responses of these porous nanocomposite shells. Specifically, the porosity coefficient, the chosen porosity distribution pattern, the dispersion profile and weight fraction of the graphene platelets, as well as foundational and geometrical dimensions, all significantly influence the dynamic vibration characteristics of the reinforced structures.
Understanding how internal voids and nanomaterial reinforcements interact helps engineers predict structural vibrations in advanced composite materials. Porosity can reduce weight, but it alters structural stiffness and stability. By mapping how graphene platelet arrangements and void patterns dictate vibrational frequencies, designers can better anticipate the mechanical performance of tailored nanocomposite cylindrical shells.
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This paper studies free vibrational behavior of porous nanocomposite shells reinforced with graphene platelets (GPLs). GPLs are uniformly and nonuniformly distributed thorough the thickness direction. Different porosity distributions called uniform, symmetric, and asymmetric are considered. The elastic properties of the nanocomposite are obtained by employing Halpin–Tsai micromechanics model. The GPL-reinforced shell is modeled via first order shear deformation theory and Galerkin's method is implemented to obtain vibration frequencies. New results show the importance of porosity coefficient, porosity distribution, GPL distribution, GPL weight fraction, and geometrical and foundation parameters on vibration behavior of porous nanocomposite shells.
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DOI: 10.1080/15376494.2018.1444235
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