This chapter investigate the traveling wave vibration behaviors of spinning graphene platelet reinforced metal foam (GPLRMF) conical–cylindrical shells. The study focuses on the coupled effects of porosity distribution patterns and graphene platelet spatial configurations on the dynamic characteristics of the rotating structure, revealing the inherent relationship between material design and structural vibration performance. The equivalent material parameters of GPLRMF are determined using the Halpin–Tsai equation and the rule of mixtures. The dynamic equations of the system are established based on Hamilton’s principle and solved by means of the power series method. The accuracy of the proposed model is verified through comparisons with existing literature and finite element results. On this basis, the influences of three types of porosity distributions and graphene platelet dispersion patterns on the traveling wave frequencies are systematically compared. The effects of parameters such as the foam coefficient, graphene mass fraction, and boundary conditions on the vibration characteristics are discussed in detail. Special attention is given to elucidating the regulatory mechanism of graphene regional distribution on the modal properties of the spinning conical–cylindrical shells. The work presented in this chapter provides a theoretical basis for the vibration design and performance optimization of spinning shells made of GPLRMF. It offers clear engineering guidance, particularly in regulating structural dynamic characteristics through spatial material distribution.