Nonlinear　dynamic　behaviors　of　ceramic-metal　graded　truncated　conical　shell　subjected　to　complex　loads　are　investigated.　The　shell　is　modeled　by　first-order　shear　deformation　theory.　The　nonlinear　partial　differential　governing　equation　in　terms　of　transverse　displacements　of　the　FGM　truncated　conical　shell　is　derived　from　the　Hamilton＇s　principle.　Galerkin＇s　method　is　then　utilized　to　discretize　the　partial　governing　equations　to　a　two-degree-of-freedom　nonlinear　ordinary　differential　equation.　The　temperature-dependent　materials　properties　of　the　constituents　are　graded　in　the　radial　direction　in　accordance　with　a　power-law　distribution.　The　aerodynamic　pressure　can　be　calculated　by　using　the　first-order　piston　theory.　The　temperature　field　is　assumed　to　be　a　steady-state　constant-temperature　distribution.　Bifurcation　diagrams,　the　maximum　Lyapunov　exponents,　wave　forms　and　phase　portraits　are　obtained　by　numerical　simulation　to　demonstrate　the　complex　nonlinear　dynamics　response　of　the　FGM　truncated　conical　shell.　The　influences　of　the　semi-vertex　angle,　the　material　gradient　index,　in-plane　and　aerodynamic　load　on　the　nonlinear　dynamics　are　studied.