TY - JOUR
T1 - Non-linear vibrations of viscoelastic moving belts, part I
T2 - Free vibration analysis
AU - Zhang, L.
AU - Zu, J. W.
PY - 1998/9/10
Y1 - 1998/9/10
N2 - 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.
AB - 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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U2 - 10.1006/jsvi.1998.1688
DO - 10.1006/jsvi.1998.1688
M3 - Article
AN - SCOPUS:0000642570
SN - 0022-460X
VL - 216
SP - 75
EP - 91
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 1
ER -