TY - GEN
T1 - Nonlinear vibration of parametrically excited viscoelastic moving belts
AU - Zhang, Lixin
AU - Zu, Jean W.
N1 - Publisher Copyright:
Copyright © 1999 by ASME.
PY - 1999
Y1 - 1999
N2 - The dynamic response and stability of parametrically excited viscoelastic belts are investigated in this paper. The linear viscoelastic differential constitutive law is employed to characterize the material property of belts. The generalized equation of motion is obtained for a viscoelastic moving belt with geometric nonlinearity. The method of multiple scales is applied directly to the gwerning equation, which is in the form of continuous gyroscopic systems. Closed-form expressions for the amplitude, existence conditions and stability conditions of non-trivial limit cycles of the summation resonance are obtained. Effects of viscoelastic parameters, excitation frequencies, excitation amplitudes and axial moving speeds on stability boundaries are discussed.
AB - The dynamic response and stability of parametrically excited viscoelastic belts are investigated in this paper. The linear viscoelastic differential constitutive law is employed to characterize the material property of belts. The generalized equation of motion is obtained for a viscoelastic moving belt with geometric nonlinearity. The method of multiple scales is applied directly to the gwerning equation, which is in the form of continuous gyroscopic systems. Closed-form expressions for the amplitude, existence conditions and stability conditions of non-trivial limit cycles of the summation resonance are obtained. Effects of viscoelastic parameters, excitation frequencies, excitation amplitudes and axial moving speeds on stability boundaries are discussed.
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U2 - 10.1115/DETC99/VIB-8133
DO - 10.1115/DETC99/VIB-8133
M3 - Conference contribution
AN - SCOPUS:85101038379
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 757
EP - 762
BT - 17th Biennial Conference on Mechanical Vibration and Noise
T2 - ASME 1999 Design Engineering Technical Conferences, DETC 1999
Y2 - 12 September 1999 through 16 September 1999
ER -