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Abstract: Based on a multi-degree-of-freedom nonlinear dynamic model
of a geared rotor bearing system with time-varying stiffness and
backlash, the mass unbalance response of the system is investigated by
applying the numerical simulation over a range of speeds. When the speed
increases near to the second critical speed, the motion of the system
changes from periodic, quasiperiodic to chaotic state after a series of
bifurcation. Under chaotic state, the amplitude of response and average
deformation of the system are much larger than others. The system should
not operate in resonant region in order to avoid chaotic motion. When
the speed exceeds some value, the chaotic motion suddenly changes into
periodic motion. Except for chaotic state, the linear model can be
substituted for the nonlinear model in engineering.
Key words: Gear Rotor Response Bifurcation Chaos
CLC No: TH113.1
TH132.41
国家自然科学基金资助项目(50075070).
Received 20010723, received in revised form 20020011211
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