Dynamic　transient　responses　of　rotating　twisted　plate　under　the　air-blast　loading　and　step　loading　respectively　considering　the　geometric　nonlinear　relationships　are　investigated　using　classical　shallow　shell　theory.　By　applying　energy　principle,　a　novel　high　dimensional　nonlinear　dynamic　system　of　the　rotating　cantilever　twisted　plate　is　derived　for　the　first　time.　The　use　of　variable　mode　functions　by　polynomial　functions　according　to　the　twist　angles　and　geometric　of　the　plate　makes　it　more　accurate　to　describe　the　dynamic　system　than　that　using　the　classic　cantilever　beam　functions　and　the　free-free　beam　functions.　The　comparison　researches　are　carried　out　between　the　present　results　and　other　literatures　to　validate　present　model,　formulation　and　computer　process.　Equations　of　motion　describing　the　transient　high　dimensional　nonlinear　dynamic　response　are　reduced　to　a　four　degree　of　freedom　dynamic　system　which　expressed　by　out-plane　displacement.　The　effects　of　twisted　angle,　stagger　angle,　rotation　speed,　load　intensity　and　viscous　damping　on　nonlinear　dynamic　transient　responses　of　the　twisted　plate　have　been　investigated.　It＇s　important　to　note　that　although　the　homogeneous　and　isotropic　material　is　applied　here,　it　might　be　helpful　for　laminated　composite,　functionally　graded　material　as　long　as　the　equivalent　material　parameters　are　obtained.