Although　rotating　blades　are　designed　to　operate　away　from　structural　frequencies,　internal　resonance　can　still　occur　at　certain　rotation　speeds,　significantly　affecting　the　blades＇　stiffness.　Therefore,　a　detailed　investigation　of　the　resonance　mechanisms　of　rotating　blades,　especially　those　introduced　by　nonlinearities,　is　crucial　for　structural　design　and　optimization.　To　address　this,　a　dynamic　model　of　a　functionally　graded　graphene/titanium　alloy　composite　trapezoid　plate　is　established　to　investigate　the　nonlinear　dynamics　of　a　rotating　blade　with　varying　cross-sections.　The　ordinary　differential　equations　of　the　plate　are　formulated　based　on　the　energy　method　and　Lagrange　equations.　The　occurrence　of　1:3　internal　resonance　in　the　trapezoid　plate　is　identified　through　the　analysis　of　linear　and　nonlinear　free　vibrations.　Subsequently,　the　steady-state　responses　of　the　rotating　plate　in　the　case　of　1:3　internal　resonance　are　numerically　calculated　and　verified　using　the　approximation　solution　of　the　multiple　scales　method.　Parametric　studies　are　conducted　to　investigate　the　effects　of　rotation　speed,　taper　ratio,　excitation　amplitude,　and　excitation　frequency　on　the　amplitude-frequency　and　amplitude-force　curves.