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VIBRATION ANALYSIS OF A NON-LINEAR COUPLED TEXTILE-ROTOR SYSTEM WITH SYNCHRONOUS WHIRLING

โœ Scribed by R.-F. Fung; J.-S. Shieh

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
440 KB
Volume
199
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

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.

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