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Abstract: Based
on nonlinear dynamic model of single freedom gear system with clearance,
the structure of multi-periodic solution in state space is researched by
using of the quasi-fixed-point trace (QFPT) method, and the periodic
solution’s structure which how to change with the parameters of damping
ratio and frequency is discussed. The stability and bifurcation of
periodic motion are researched by the Predict-correct method. Results
show that the QFPT method can be used to solve the multi periodic
solution structure of nonlinear dynamic system effectively and provide a
good foundation for researching the problems of the stability and
bifurcation of periodic motion. The discussions of stability and
bifurcation are help to more deeply research the road of leading to
chaos.
Key words: Nonlinear
gear system Periodic solution’s structure Numerical
simulation Stability Bifurcation
CLC No: TH113
国家自然科学基金资助项目(50075070). Received 20030326,
received in revised form 20031010
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