TY - GEN
T1 - FREE VIBRATION ANALYSIS OF VISCOELASTIC MOVING BELTS
AU - Zu, Jean W.
AU - Zhang, Lixin
N1 - Publisher Copyright:
© 1998 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1998
Y1 - 1998
N2 - The nonlinear 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 nonlinearities. The method of multiple scales is applied directly to the governing equation which is in the form of continuous autonomous gyroscopic systems with weakly nonlinearity. This direct treatment does not involve a prior assumption regarding the spatial solutions. The nonlinear 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 nonlinearity on natural frequencies and amplitudes of the free response are investigated from numerical examples.
AB - The nonlinear 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 nonlinearities. The method of multiple scales is applied directly to the governing equation which is in the form of continuous autonomous gyroscopic systems with weakly nonlinearity. This direct treatment does not involve a prior assumption regarding the spatial solutions. The nonlinear 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 nonlinearity on natural frequencies and amplitudes of the free response are investigated from numerical examples.
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U2 - 10.1115/IMECE1998-0545
DO - 10.1115/IMECE1998-0545
M3 - Conference contribution
AN - SCOPUS:85124358305
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
SP - 31
EP - 37
BT - Dynamics, Acoustics and Simulations
T2 - ASME 1998 International Mechanical Engineering Congress and Exposition, IMECE 1998
Y2 - 15 November 1998 through 20 November 1998
ER -