Spinning effects on the dynamic response of graphene-platelet-enhanced metal foam conical shells under moving loads

While prior research has explored the dynamic behavior of conical shells under moving loads, the dynamic response of graphene platelet-reinforced metal foam (GPLRMF) conical shells with spinning motion remains uninvestigated. This study establishes a dynamic model for such GPLRMF conical shells under moving loads to analyze their response characteristics. The first-order shear deformation theory (FSDT) is integrated with Hamilton's principle to formulate the governing equations. The motion equations are discretized using the Galerkin method under simply supported boundary conditions, resulting in a system of ordinary differential equations. The mechanical model's validity is confirmed through two comparative examples. Further, convergence analysis is performed for conical shells with varying semi-vertex angles to validate the method's accuracy. Finally, parametric analysis of the dynamic response is conducted using the Runge-Kutta method, with results including the time history of midpoint deflection and the velocity history of maximum midpoint deflection. It can be found that, higher rotational speeds significantly reduce deflection due to centrifugal forces counteracting deformation, the GPL-A/Foam-I shell exhibits minimal central deflection, benefiting from higher GPL concentration and lower porosity, boosting stiffness, and the forced vibration increases deflection with larger semi-vertex angles, as smaller angles (closer to cylindrical geometry) enhance load-bearing capacity.