In this work, we propose a new unified-solution algorithm for solids and fl
uids using generalized simplified marker and cell (GSMAC)-finite element me
thod (FEM). We use the Lagrangian description for displacement vector field
s in solids, and, the Eulerian description for velocity vector fields in fl
uids. We carried out the analysis for static beam bending problems and dyna
mic viscoelastic response problems in order to the verify the validity of t
he present scheme for the solid phase. Additionally the analysis of self-ex
cited oscillations of a cylinder in uniform flow is performed as a coupled
vibration problem between the fluid and solid.