The　wind　turbine　blade　is　commonly　treated　as　a　non-uniform　beam　because　of　its　high　aspect　ratio.　The　bend-twist　coupled　vibrations　of　the　wind　turbine　blade　occur　when　there　exist　the　misalignments　among　the　shear　center,　neutral　axis　and　pressure　center　in　the　blade　cross-section.　The　differential　governing　equations　of　motion　for　the　rotating　wind　turbine　blade　are　derived　by　Hamilton　principle　and　solved　by　the　transferred　differential　transformation　method　(TDTM).　Due　to　the　rotations,　three　terms,　namely　the　tension,　centrifugal　and　gyroscopic　forces,　are　distinctively　summarized　and　taken　into　ac-count　in　the　proposed　model.　The　natural　frequencies　obtained　by　the　TDTM　are　compared　with　both　experimental　and　numerical　simulations　to　validate　the　effectiveness　of　the　proposed　solving　method.　The　influences　of　the　tension,　centrifugal　and　gyroscopic　forces　on　the　natural　frequencies　are　investi-gated　for　the　wind　turbine　blade.　The　mode　veering　phenomenon　is　found　and　explained　by　using　the　complex　mode　decomposition　theory.　The　phase　differences　among　the　flap-wise,　edge-wise　and　torsional　motions　are　also　explored　by　observing　the　whirling　orbits　at　the　blade　tip.　(C)　2022　Elsevier　Ltd.　All　rights　reserved.