Dynamic Characteristics Of Axially Moving Graphene Reinforced Composite Truncated Conical Shell Structures

Functionally graded materials reinforced with graphene platelets(FG-GPLs)are nanocomposites with graphene as the reinforcing phase.The truncated conical shell structure made of graphene reinforced composites combines the excellent physical properties of graphene nanomaterials and the good structural form of truncated conical shells.It has broad application prospects in transportation,shipbuilding,aerospace and other engineering fields.The working environment and stress state of such structures are complex.Therefore,in order to promote the application of such structures in practical engineering,the dynamic characteristics of different working environments and stress states should be studied first.In this paper,based on the classical thin shell theory and the modified Halpin-Tsai micromechanical model,the dynamic equations of FG-GPLs truncated conical shells with different graphene platelets distribution patterns and pore types in elastic media under lateral load are established.The free vibration and dynamic response of the truncated conical shell are solved by Galerkin integral method,and the effects of elastic media,graphene platelets and pores are analyzed.Secondly,the static buckling load and dynamic instability region of porous FG-GPLs truncated conical shell in elastic medium under axial periodic load are solved by Galerkin integral method and Bolotin method.The effects of elastic medium,graphene platelets and pores are discussed.Then,the free vibration and forced vibration of the axially moving porous FG-GPLs truncated conical shell are studied,and the effects of axial velocity,graphene platelets and pores are discussed.Finally,the critical buckling velocity and unstable region of the axially moving porous FG-GPLs truncated conical shell under periodic load are analyzed,and the effects of axial velocity,graphene platelets and pores are discussed.According to the theoretical analysis,the corresponding calculation program is written in Matlab language,and a large number of effective numerical results are calculated.The results show that the elastic medium can improve the overall stiffness of the truncated conical shell,and its shear parameters have more significant effects on the vibration frequency and dynamic stability of the truncated conical shell than the compression parameters.The overall stiffness of the truncated conical shell decreases with the increase of the axial velocity.The influence of graphene platelets on the vibration frequency and dynamic stability of the truncated conical shell is more complicated,which is related to its mass content and distribution mode.The overall stiffness of the truncated conical shell with less pore distribution on both sides is larger,and as the pore coefficient increases,the overall stiffness of the truncated conical shell decreases.The results of this paper enrich the theoretical research on the vibration,buckling and stability of porous FG-GPLs truncated conical shells in axial motion and elastic media.It has certain significance for optimizing the structure of FG-GPLs truncated conical shells and promoting its application in transportation,ship and ocean engineering.