Flexible　plate　structures　with　large　deflection　and　rotation　are　commonly　used　structures　in　engineering.　How　to　analyze　and　solve　the　cantilever　plate　with　large　deflection　and　rotation　is　still　an　unsolved　problem.　In　this　paper,　a　general　nonlinear　flexible　rectangular　cantilever　plate　considering　large　deflection　and　rotation　angle　is　modeled,　solved　and　analyzed.　Hamilton＇s　principle　is　applied　to　obtain　the　nonlinear　differential　dynamic　equations　and　boundary　conditions　by　introducing　a　coordinate　transformation　between　the　Cartesian　coordinate　system　and　the　deformed　local　coordinate　system.　Stress　function　relating　to　in-plane　force　resultants　and　shear　forces　is　given　for　the　first　time　for　complex　coupling　equations　caused　by　coordinate　transformation.　The　nonlinear　equations　and　the　solving　method　are　validated　by　experiments.　Then,　harmonic　balance　method　is　adopted　to　get　the　nonlinear　frequency-response　curves,　which　shows　strong　hardening　spring　characteristic　of　this　system.　Runge-Kutta　methods　are　used　to　reveal　complex　nonlinear　behaviors　such　as　5　super-harmonic　resonance,　bifurcations　and　chaos　for　general　nonlinear　flexible　rectangular　cantilever　plate.　(C)　2019　Elsevier　Inc.　All　rights　reserved.