✦ LIBER ✦

NON-LINEAR VIBRATIONS OF VISCOELASTIC MOVING BELTS, PART I: FREE VIBRATION ANALYSIS

✍ Scribed by L. Zhang; J.W. Zu

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 270 KB
Volume: 216
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1998.1688

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✦ Synopsis

The non-linear free vibration of viscoelastic moving belts is studied. Based on the linear viscoelastic differential constitutive law, the generalized equation of motion is derived for a moving belt with geometric non-linearities. The method of multiple scales is applied directly to the governing equation which is in the form of continuous autonomous gyroscopic systems with weak non-linearity. This direct treatment does not involve a prior assumption regarding the spatial solutions. The non-linear natural frequencies and free response amplitude for autonomous systems are predicted by the perturbation method. The results obtained with the quasi-static assumption and those without this assumption are compared. The effects of elastic and viscoelastic parameters, axial moving speed, and the geometric non-linearity on natural frequencies and amplitudes of the free response are investigated from numerical examples.

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