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Abstract:
The
parametrical resonance and stability in a rotating shaft with an
asymmetrical stiffness is analyzed. By means of the Hamilton’s principle
the nonlinear differential equations of motion of the shaft are derived
in the rotating coordinate system. Transforming the equations of motion
from rotting coordinate system into stationary coordinate system and
introducing a complex variable, the motion equation in complex variable
forms in which the stiffness coefficient vnries periodically as time, is
obtained. By applying the method of averaging, the averaged equation and
the amplitude-frequency response equation are obtained. According to the
theory of singularity, the stability and bifurcation of the steady-state
solutions are analyzed.
Key words:
Shaft with
unsymmetrical stiffness Parametrical resonance Stability
Bifurcation Method of averaging
CLC No: TH113 O322
国家“九五”攀登基金资助项目. Received 20000711,
received in revised form 20010205
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