A　new　design　scheme　for　the　functionally　graded　material　(FGM)　sandwich　cylindrical　shell　structure　made　of　ceramic-FGM-carbon　fiber　composites　is　proposed,　which　is　geared　towards　supersonic　flight　vehicles　and　has　high　specific　stiffness　and　high-temperature　resistance.　We　focus　on　analyzing　the　nonlinear　resonant　responses　of　the　novel　FGM　sandwich　cylindrical　shell　subjected　to　external　excitation　and　aerodynamic　force.　Firstly,　the　mechanical　properties　of　the　novel　FGM　sandwich　material　are　calculated,　and　then　the　nonlinear　dynamic　model　of　the　FGM　sandwich　cylindrical　shell　is　established　based　on　the　first　order　shear　deformation　theory　(FSDT)　and　Hamilton＇s　principle.　Due　to　the　axisymmetric　property　of　the　cylindrical　shell,　a　1:1　internal　resonance　between　the　driven　and　companion　modes　always　exists　in　the　perfect　cylindrical　shell.　Taking　this　into　consideration,　the　nonlinear　resonant　response　problems　of　the　FGM　sandwich　cylindrical　shell　are　numerically　simulated　by　combining　the　Galerkin　method　and　the　pseudo-arc　length　continuation　method.　Finally,　the　effects　of　complex　parameters　such　as　external　excitation,　aerodynamic　force,　aspect　ratio,　gradient　index,　and　skin-core-skin　ratio　on　the　nonlinear　resonant　responses　of　the　FGM　sandwich　cylindrical　shell　are　investigated.