TY - JOUR
T1 - Non-linear free oscillations of moving viscoelastic belts
AU - Hou, Zhichao
AU - Zu, Jean W.
PY - 2002/9
Y1 - 2002/9
N2 - In order to investigate more precisely the effect of material damping on the non-linear free vibration of moving belts, the standard linear solid model containing three elements is used to represent the belt material property. By reforming the equations for motion of the system concerned and directly applying the method of multiple scales, a new approach is suggested, which yields closed form solutions in the first order approximation to free vibration response. The solutions are furthermore degenerated to the solutions of an elastic model and two viscoelastic models, a Kelvin model and a Maxwell model. Simplified solutions of both the standard model and Maxwell model are obtained under certain conditions. Both the degeneration and simplification reveal the relation and difference among different models. Numerical simulations are carried out on using the standard linear solid to show the influence of different design parameters on the non-linear vibration frequency and amplitude. Preliminary comparisons are also made to evaluate the accuracy of the simplified solutions and to show the discrepancy of using elastic model, the standard linear solid, the Kelvin model and the Maxwell model.
AB - In order to investigate more precisely the effect of material damping on the non-linear free vibration of moving belts, the standard linear solid model containing three elements is used to represent the belt material property. By reforming the equations for motion of the system concerned and directly applying the method of multiple scales, a new approach is suggested, which yields closed form solutions in the first order approximation to free vibration response. The solutions are furthermore degenerated to the solutions of an elastic model and two viscoelastic models, a Kelvin model and a Maxwell model. Simplified solutions of both the standard model and Maxwell model are obtained under certain conditions. Both the degeneration and simplification reveal the relation and difference among different models. Numerical simulations are carried out on using the standard linear solid to show the influence of different design parameters on the non-linear vibration frequency and amplitude. Preliminary comparisons are also made to evaluate the accuracy of the simplified solutions and to show the discrepancy of using elastic model, the standard linear solid, the Kelvin model and the Maxwell model.
KW - Direct multiple scales method
KW - Free vibration
KW - Moving belt
KW - Viscoelastic models
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U2 - 10.1016/S0094-114X(02)00031-9
DO - 10.1016/S0094-114X(02)00031-9
M3 - Article
AN - SCOPUS:0036721960
SN - 0094-114X
VL - 37
SP - 925
EP - 940
JO - Mechanism and Machine Theory
JF - Mechanism and Machine Theory
IS - 9
ER -