A　novel　dynamic　model　of　the　functionally　graded　graphene　platelet　(FGGP)　reinforced　rotating　pretwisted　composite　blade　under　the　aerodynamic　force　and　blade-casing　rubbing　is　established　for　the　first　time.　The　blade　is　simplified　to　a　FGGP　reinforced　rotating　pretwisted　composite　cantilever　plate.　The　dynamic　model　of　the　axial　excitation　produced　by　considering　the　aerodynamic　force　in　the　tip　clearance　includes　two　trigonometric　functions　with　different　frequencies.　The　subsonic　airflow　is　considered　as　a　transverse　excitation　which　is　derived　by　utilizing　the　vortex　lattice　method　(VLM).　The　dynamic　model　expresses　the　changes　of　the　nonuniform　axial　and　contact　forces　through　the　tip　clearance　and　rotating　pretwisted　plate-casing　rubbing　when　the　shaft　is　eccentric.　Based　on　Rayleigh-Ritz　method,　the　linear　frequencies　and　mode　shapes　are　obtained　for　the　FGGP　reinforced　rotating　pretwisted　plate.　The　influences　of　the　graphene　distribution　pattern,　rotating　pretwisted　plate-casing　rubbing,　axial　excitation　in　the　tip　clearance　and　geometric　parameter　on　the　frequencies　are　investigated.　Using　the　obtained　mode　shapes,　von-Karman　type　nonlinear　geometric　assumptions　and　Lagrange　equation,　the　differential　governing　equations　of　motion　are　derived　for　the　FGGP　reinforced　rotating　pretwisted　plate.　The　nonlinear　vibrations　under　the　1:1　internal　resonance　at　two　critical　rotating　speeds　is　studied　by　using　Runge-Kutta　method.　The　amplitude-frequency　and　force-frequency　response　curves　under　the　low　and　high　critical　rotating　speeds　are　investigated　by　using　numerical　calculations.　The　obtained　results　demonstrate　the　influence　of　the　rotating　speed,　frequency　ratios　and　incoming　flow　speeds　on　the　nonlinear　vibrations　of　the　FGGP　reinforced　rotating　pretwisted　plate.　The　dynamic　model　of　the　rubbing-impact　for　the　rotating　blade　provides　a　theoretical　basis　for　the　blade-casing　rubbing　analysis.　At　the　same　time,　this　study　is　also　used　as　a　theoretical　guidance　to　reduce　the　damage　of　the　blade-casing　rubbing　and　blade　design.