On the buckling of smart beams in racket frames for enhancing the player's control using numerical solution and sinusoidal shear deformation theory

In the present analysis, the buckling behavior of smart beams integrated into racket frames for enhancing player control was examined by numerical solutions and sinusoidal shear deformation theory. The smart beam under consideration is subjected to an external voltage in the thickness direction. The integration of this smart material into the structure of the racket should optimize performance, improving the racket's stability and responsiveness during play. In this, an accurate representation of complex shear effects is made by using a sinusoidal shear deformation theory, while the solution of the resulting governing equations is made by numerical methods. The critical buckling loads and the characteristics of deformation obtained through the analysis provide insight into some design parameters controlling and influencing stability. Obtained results are validated with other published works. The length and thickness of the beam, elastic medium, boundary condition, and influence of external voltages have been represented for buckling load in the structure. These results will help in designing smart racket frames using smart beams to provide more precision and control for the players in an intelligent way.