Applications of G-Ori-Enabled Nanocomposite Structures in Badminton Court: Stretchable-Thickness Higher-Order Model for Frequency Analysis

This study primarily examines a badminton court that is modeled as a rectangular plate enabled by graphene-origami (G-Ori) metamaterials. The model’s dynamic performance is examined in a thermal environment to comprehend the effects of temperature variations. To enhance accuracy, a new quasi-three-dimensional shear and normal trigonometric hyperbolic theory is employed, elucidating the kinematic interactions of the structure. This new hypothesis accommodates transverse normal strain. Differential motion equations are derived from Hamilton’s principle and subsequently solved analytically using Fourier series functions. The primary objective of the study is to investigate the impact of different conditions on the natural frequencies of the model. The findings demonstrate that the incorporation of G-Ori enhances the rigidity of the structure and, as a result, its natural frequencies. Conversely, when the temperature increases, the frequencies diminish.