Vibration analysis of a non-linear coupled textile-rotor system with synchronous whirling

Abstract In this paper a dynamic formulation is presented for the coupled textile-rotor system. Both the partial differential equation for the textile thread and the ordinary differential equation for the rotor whirling vibration are derived by Hamilton's principle. When the textile is wound either on or off the rotor, the mass, inertia and unbalance magnitude of the rotor change with time, and also the length of the textile is time dependent. The Galerkin method is used with a time-dependent basis function to determine approximate solutions. Finally, numerical examples are presented to show the effects of the angular rotational speed, the shaft stiffness and the non-linear terms on the transient amplitudes of the coupled system.