Traveling wave vibration of graphene platelet reinforced porous joined conical-cylindrical shells in a spinning motion

The present study investigates traveling wave vibration characteristics of spinning graphene platelets reinforced metal foam (GPLRMF) joined conical-cylindrical shells (JCCSs) for the first time. The Donnell's shell theory is adopted to formulate the present model, and the centrifugal force, Coriolis force as well as initial hoop tension resulting from the spin are all considered. Three types of porosity distributions and graphene platelet (GPL) dispersion patterns are taken into account. By employing the Halpin-Tsai equation and the mixture rule, the GPL reinforced material properties are determined. Governing equations are obtained by adopting Hamilton's prin-ciple, and then are solved by utilizing the power series method. After the validation with the available literature and finite element results, the effects of GPL regional allocation on vibration characteristics are particularly explored. It is found that allocating more GPLs in large-size pore regions is unbefitting for increasing traveling wave frequencies. In addition, allocating GPLs in the conical shell segment can improve traveling wave fre-quencies more significantly compared with that in the cylindrical shell segment or the whole JCCS.

Automated summary

This study investigates the traveling wave vibration characteristics of spinning graphene platelets reinforced metal foam joined conical-cylindrical shells for the first time. The effects of graphene platelets allocation on vibration characteristics are explored, and it is found that allocating more graphene platelets in large-size pore regions is not suitable for increasing traveling wave frequencies. Furthermore, allocating graphene platelets in the conical shell segment can significantly improve traveling wave frequencies compared to the cylindrical shell segment or the whole joined conical-cylindrical shells.