The　machining　errors　and　the　geometric　imperfections　are　unavoidable,　such　as,　local　indentations,　surface　form　error,　flat　curve　form　error　and　non-uniform　thickness　and　so　on.　In　this　paper,　a　new　vibration　model　for　the　rotating　blade　which　is　treated　as　a　cantilever　pre-twisted　panel　with　initial　exponential　function　type　geometric　imperfection　is　provided　by　using　the　shallow　shell　theory　in　which　the　torsion　is　considered　but　the　two　radii　of　curvatures　are　zero.　Also,　this　mode　involves　the　effect　of　the　Coriolis　and　centrifugal　force.　It　is　assumed　that　the　material　of　the　pre-twisted　curved　panel　is　homogeneous　and　isotropic.　Based　on　the　Rayleigh-Ritz　method　and　continuous　algebraic　polynomial　functions　satisfying　the　cantilever　boundary　conditions,　the　natural　frequencies　and　mode　shapes　of　perfect　rotating　pre-twisted　curved　panel　and　those　with　the　initial　geometric　imperfection　are　computed.　The　validity　of　this　model　is　verified　by　comparison　with　AN-SYS　results.　A　comprehensive　study　about　the　effects　of　the　geometric　parameters,　imperfection　size,　imperfection　location　and　the　concentration　degree　of　it,　pre-twisted　angles,　setting　angle　and　rotational　speeds　of　the　pre-twisted　curved　panel　on　the　free　vibration　is　carried　out.　The　problems　of　frequency　veering,　mode　shape　shift,　internal　resonance　between　modes　and　effect　of　dynamic　stiffness　can　be　found.　(C)　2018　Elsevier　Inc.　All　rights　reserved.