Abstract：Here, when a cylindrical shell vibrated continuously in viscous fluid, velocity of viscous fluid and the cylindrical shell’s propulsion speed were studied with the united Lagrangian-Eulerian method.The contact surface conditions were simplified according to adhesion conditions of viscous fluid molecules.Variables after deformation were approximately expressed with their Taylor series expansions before deformation.When Reynolds number Re < 0.1, Navier-Stokes equations were replaced by Stokes ones to study transverse and longitudinal vibrations of the elastic cylindrical shell.The results showed that fluid velocity distribution approaches a thin plate vibration results with increase in cylindrical shell’s radius; the shell’s displacement direction is opposite to the wave’s one during shell having transverse vibration, but their directions are the same during shell having longitudinal vibration; their directions may be the same or opposite during shell having both transverse and longitudinal vibrations.
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