Architectural design and stability analysis of advanced nanocomposite sport equipment under external excitation

The emergence of highly functionalized nanostructured architectures has paved the way for developing high-performance sports equipment that possess superior mechanical, vibrational, and dynamic properties. In this study, the architecture and stability analysis of advanced nanocomposites for sporting applications designed in the form of a doubly curved panel made of triply periodic minimal surface graphene origami auxetic metamaterials (TPMS-GOAM) are studied. The proposed nanoscale design uses the hierarchically structured pore networks to attain tunable stiffness, increased energy dissipation, and negative Poisson's ratio characteristics, which makes it appropriate for manufacturing next-generation lightweight sports equipment. The mechanics of the system are developed using the theory of the first-order shear deformation (FSDT) based on the Sanders shell theory. A shear correction factor is introduced to improve the consideration of transverse shear deformation within the nanolayered composite material arrangement. The governing equation of motion is established based on Hamilton's principle for an energy-based treatment of the bending-membrane interaction in curved forms. To solve numerically the governing equations, DQM is employed in which Lagrange interpolation and Chebyshev polynomial roots play key roles. The dynamic analysis of both free vibration and forced vibration is carried out to determine the vibration behavior of TPMS-GOEAM-based sport equipment subjected to dynamic loading. It is found through the parametric studies that the vibration behavior of the composite nanoscale structure is significantly affected by the porosity distribution, curvature ratio, and GOEAM reconfiguration. The study finds that the proposed composite nanomaterial structure exhibits better dynamic stability and vibration isolation than traditional composite structures for sport equipment in terms of the frequency content, mode shape, and dynamic magnification factor.