A　new　dynamic　model　of　the　rotating　tapered　cantilever　cylindrical　panel　with　the　graphene　coating　layers　is　developed　to　investigate　the　vibration　characteristics　of　the　rotating　pretwisted　tapered　blade.　It　is　assumed　that　the　graphene　platelets　(GPLs)　are　randomly　oriented　and　uniformly　dispersed　in　the　top　layer　and　the　bottom　layer　of　the　rotating　pretwisted　composite　tapered　blade.　The　modified　Halpin-Tsai　model　is　used　to　estimate　the　effective　Young＇s　modulus.　The　rule　of　the　mixture　is　used　to　calculate　the　effective　Poisson＇s　ratio　and　mass　density.　Based　on　the　Green　strain　tensor,　an　accurate　strain-displacement　relationship　is　acquired.　The　effects　of　the　centrifugal　force　and　Coriolis　force　are　considered　in　the　formulation.　The　Chebyshev-Ritz　method　is　utilized　to　obtain　the　natural　frequencies　and　mode　shapes　of　the　rotating　pretwisted　composite　tapered　blade　with　the　graphene　coating　layers.　The　accuracy　of　the　proposed　model　is　validated　through　several　comparison　studies　with　the　results　of　the　present　literatures　and　ANSYS.　The　free　vibration　characteristics　are　analyzed　by　considering　different　material　and　geometry　parameters　of　the　rotating　pretwisted　composite　tapered　cantilever　cylindrical　panel　with　the　graphene　coating　layers,　such　as　the　graphene　platelet　(GPL)　geometry,　GPL　weight　fraction,　taper　ratio,　length-to-radius　ratio,　pretwist　angle,　presetting　angle　and　rotating　speed.　The　frequency　veering　and　the　mode　shape　shift　phenomena　are　found　in　the　rotating　pretwisted　tapered　cantilever　cylindrical　panel　with　the　graphene　coating　layers.　(C)　2019　Elsevier　Masson　SAS.　All　rights　reserved.