There is proposed a full mathematical model for spatial non-stationary motion of the raft of the rectangular form under the action of active forces of Archimedean forces and resistance forces of water from movement. The force of water resistance in addition to the summand that takes into account the viscosity contains a summand proportional to the square of the velocity and directed opposite to the velocity vector. Under the assumption that under the action of all the forces the raft remains afloat, there is studied the stability of a first approximation relatively of the steady motions which are arising due to the application of mostly simple active forces.

equations of motion, raft, buoyancy force, water resistance, stability

Theoretical and applied problems of mechanics

Golubev Yury Filippovich,  ,  orcid.org/0000-0002-2450-0224,  KIAM RAS