In　this　paper,　the　transverse　free　vibration　and　stability　are　analyzed　for　spinning　pipes　conveying　fluid　as　a　typical　example　of　doubly　gyroscopic　systems.　The　partial　differential　equations　of　motion　are　derived　by　the　extended　Hamilton　principle,　and　are　then　truncated　by　the　4-term　Galerkin　technique.　The　natural　frequencies,　complex　modal　motions　and　responses　to　initial　conditions　are　comprehensively　investigated　to　display　the　essential　dynamical　properties　of　such　spinning　structures　conveying　fluid.　It　is　indicated　that　the　qualitative　stability　of　the　present　system　mainly　depends　on　the　effects　of　fluid-structure　interaction　(FSI)　and　mass　ratio,　while　the　spinning　speed　plays　a　significant　role　in　determining　the　quantitative　values　of　the　frequency.　The　critical　flow　velocities　are　independent　of　the　spinning　speed　and　mass　ratio.　Forward　and　backward　whirling　motions　are　found　to　take　place　alternatively　for　the　first　four　modes,　and　a　＇traveling　wave＇　with　spatial　configuration　is　observed　during　vibrations.　The　gyroscopic　couplings　caused　by　spin　and　FSI　will　yield　great　impacts　on　the　energy　transfers　between　different　general　coordinates.　(C)　2018　Elsevier　Ltd.　All　rights　reserved.