Energy absorption of vibrating sport equipment used for testing athlete performance

This study investigates the stability of a doubly-curved electrical shell structure under dynamic impact loads using both theoretical and analytical methods. The curved electrical shell is designed to absorb energy from deformation and is subjected to loads from a spherical impactor with various boundary conditions. The shell's behavior is mathematically modeled using von Kármán shell theory to derive the displacement field, while its electrical characteristics are described by Maxwell's equations. The mechanical model assumes linear elastic behavior, and the impactor's contact interactions are governed by Hertz's contact law. The influence of external loads and boundary conditions on the internal stress distribution of the shell is analyzed using the principle of energy conservation. In addition to the analytical approach, a finite element model is developed using the Abaqus dynamic/explicit package, allowing for a comparison between analytical and numerical results. The findings are presented through a parametric study that examines the effects of geometry, material properties, and boundary and loading conditions. This parametric analysis highlights the optimal conditions for ensuring the stability of the curved electrical shell structure.