In　order　to　explore　the　influence　of　combined　gyroscopic　coupling　effect　on　the　gyroscopic　system,　the　dynamics　of　a　beam　undergoing　both　rotating　and　spinning　motions　as　a　bi-gyroscopic　system　is　studied.　The　natural　frequencies,　modes,　and　stability　of　such　a　bi-gyroscopic　system　have　been　studied　by　the　standard　eigenvalue　problems.　The　bifurcation　series　of　frequencies　and　corresponding　modal　motions　have　been　presented　to　show　the　gyroscopically　coupled　motions.　The　complex　modes　of　the　proposed　bi-gyroscopic　systems,　such　as　whirling　motions　and　in-plane　reeling　motions,　have　been　illustrated.