This　paper　investigates　the　nonlinear　dynamic　responses　of　the　rotating　blade　with　varying　rotating　speed　under　high-temperature　supersonic　gas　flow.　The　varying　rotating　speed　and　centrifugal　force　are　considered　during　the　establishment　of　the　analytical　model　of　the　rotating　blade.　The　aerodynamic　load　is　determined　using　first-order　piston　theory.　The　rotating　blade　is　treated　as　a　pretwist,　presetting,　thin-walled　rotating　cantilever　beam.　Using　the　isotropic　constitutive　law　and　Hamilton＇s　principle,　the　nonlinear　partial　differential　governing　equation　of　motion　is　derived　for　the　pretwist,　presetting,　thin-walled　rotating　beam.　Based　on　the　obtained　governing　equation　of　motion,　Galerkin＇s　approach　is　applied　to　obtain　a　two-degree-of-freedom　nonlinear　system.　From　the　resulting　ordinary　equation,　the　method　of　multiple　scales　is　exploited　to　derive　the　four-dimensional　averaged　equation　for　the　case　of　1:1　internal　resonance　and　primary　resonance.　Numerical　simulations　are　performed　to　study　the　nonlinear　dynamic　response　of　the　rotating　blade.　In　summary,　numerical　studies　suggest　that　periodic　motions　and　chaotic　motions　exist　in　the　nonlinear　vibrations　of　the　rotating　blade　with　varying　speed.