Dynamic analysis of piezoelectric smart sport balls based on analytical solution

A spherical shell panel with two nanocomposite piezoelectric (NCP) facesheets and a functionally graded porous (FGP) core is the subject of the present investigation. Not only are the layers firmly linked to one another, but their qualities are functionally graded as well. When an electric voltage is provided externally to NCP patches, carbon nanotubes (CNTs) are utilized to enhance their electro-mechanical performance. The kinematic relations are shown by applying von Karman's assumptions and the first-order shear deformation theory (FSDT). By utilizing Hamilton's principle and variational approach, the equations regulating motion are derived. The differential motion equations are solved using an analytical method based on Fourier series functions. After ensuring the accuracy of the results, the influence of various factors on the model's normalized frequencies is examined. These factors include the porosity index, patterns of pore distribution, patterns of CNT distribution, and other critical parameters. More efficient smart structures and devices might be in the works according to this study's results.