This　paper　provides　an　in-depth　study　of　the　resonant　responses　and　nonlinear　dynamics　of　a　novel　axially　moving　functionally　graded　material　(FGM)　sandwich　cylindrical　shell　structure,　specifically　designed　for　supersonic　aircraft　operating　under　various　complex　environments.　We　present　the　derivation　of　the　mechanical　parameters　and　the　nonlinear　dynamic　equations　associated　with　this　FGM　sandwich　cylindrical　shell.　By　analyzing　the　natural　frequencies　of　the　structure,　which　is　clamped　at　both　ends,　we　identify　the　necessary　parametric　conditions　for　the　nonlinear　system　to　exhibit　1:2　internal　resonance　and　1:1　principal　parameter　resonance.　To　further　investigate　the　resonant　responses,　we　utilize　the　pseudo-arc　length　continuation　method.　In　addition,　the　fourth-order　Runge-Kutta　algorithm　is　employed　to　examine　the　nonlinear　dynamic　behaviors　of　this　system.　This　research　explores　the　impacts　of　different　external　conditions,　such　as　external　excitation　and　aerodynamic　force,　on　the　resonant　response　and　nonlinear　dynamics　of　the　axially　moving　FGM　sandwich　cylindrical　shell.　The　results　indicate　that　both　external　excitation　and　aerodynamic　force　have　a　significant　influence　on　the　nonlinear　vibrations　of　this　structure.　Understanding　these　factors　is　important　for　optimizing　the　flight　performance　of　supersonic　vehicles　in　adverse　environmental　conditions.　©　2024　Elsevier　Ltd