Abstract: This paper analyzes the dynamics of a simple rotor mounted on a shaft constructed from a viscoelastic material. The equations are solved using a perturbation technique that is valid whenever ...

Abstract: When a flexible rotor is partially filled with liquid, the motion is unstable over some operating range. The extent of this operating range depends on various system parameters such as rotor ...

Abstract: Optimal control theory is used to stabilize a rotating cylinder partially filled with an inviscid, incompressible fluid. As an example, the theory is used to control a rotor consisting of two ...

Abstract: A hollow circular cylinder rotating with constant angular velocity and partially filled with a viscous incompressible fluid has been analyzed for stability. The analysis can be extended to apply ...