In　this　study,　the　first-order　shear　deformation　theory　(FSDT)　is　used　to　establish　a　nonlinear　dynamic　model　for　a　conical　shell　truncated　by　a　functionally　graded　graphene　platelet-reinforced　composite　(FG-GPLRC).　The　vibration　analyses　of　the　FG-GPLRC　truncated　conical　shell　are　presented.　Considering　the　graphene　platelets　(GPLs)　of　the　FG-GPLRC　truncated　conical　shell　with　three　different　distribution　patterns,　the　modified　Halpin-Tsai　model　is　used　to　calculate　the　effective　Young＇s　modulus.　Hamilton＇s　principle,　the　FSDT,　and　the　von-Karman　type　nonlinear　geometric　relationships　are　used　to　derive　a　system　of　partial　differential　governing　equations　of　the　FG-GPLRC　truncated　conical　shell.　The　Galerkin　method　is　used　to　obtain　the　ordinary　differential　equations　of　the　truncated　conical　shell.　Then,　the　analytical　nonlinear　frequencies　of　the　FG-GPLRC　truncated　conical　shell　are　solved　by　the　harmonic　balance　method.　The　effects　of　the　weight　fraction　and　distribution　pattern　of　the　GPLs,　the　ratio　of　the　length　to　the　radius　as　well　as　the　ratio　of　the　radius　to　the　thickness　of　the　FG-GPLRC　truncated　conical　shell　on　the　nonlinear　natural　frequency　characteristics　are　discussed.　This　study　culminates　in　the　discovery　of　the　periodic　motion　and　chaotic　motion　of　the　FG-GPLRC　truncated　conical　shell.