TY - JOUR
T1 - Method of multiple scales for vibration analysis of rotor-shaft systems with non-linear bearing pedestal model
AU - Ji, Z.
AU - Zu, J. W.
PY - 1998/11/26
Y1 - 1998/11/26
N2 - The method of multiple scales is developed to analyze the free and forced vibration of non-linear rotor-bearing systems. The rotating shaft is described by the Timoshenko beam theory which considers the effect of the rotary inertia and shear deformation. A non-linear bearing pedestal model is assumed which has a non-linear spring and linear damping characteristics. Numerical simulations are carried out to illustrate the non-linear effect on the free and forced vibrations of the system. It is shown that for free vibrations, the amplitude has a one-to-one relationship with the non-linear natural frequency. For steady-state response, however, multi-valued displacements occur, indicating the existence of bifurcation points in the system.
AB - The method of multiple scales is developed to analyze the free and forced vibration of non-linear rotor-bearing systems. The rotating shaft is described by the Timoshenko beam theory which considers the effect of the rotary inertia and shear deformation. A non-linear bearing pedestal model is assumed which has a non-linear spring and linear damping characteristics. Numerical simulations are carried out to illustrate the non-linear effect on the free and forced vibrations of the system. It is shown that for free vibrations, the amplitude has a one-to-one relationship with the non-linear natural frequency. For steady-state response, however, multi-valued displacements occur, indicating the existence of bifurcation points in the system.
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U2 - 10.1006/jsvi.1998.1835
DO - 10.1006/jsvi.1998.1835
M3 - Article
AN - SCOPUS:0032202658
SN - 0022-460X
VL - 218
SP - 293
EP - 305
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 2
ER -