关键词: 行星换向机构, 非线性动力学, 分岔, 混沌识别

Abstract:

Aiming at researching the bifurcation and chaos characteristics of planetary reverse system with time-varying rotating speeds and torques, a nonlinear rotating vibration model was found. The differential equation of the system was salved with the Runge-Kutta numerical integration method, the bifurcation, phase plane and Poincare mapping were draughted to analyze the changing course, due to the outer inspiration. Additionally, the judgment of the system chaos state was made out by maximum Lyapunov exponent with the theory of chaotic time series. The results show that: in long stage of rotating speed, the system reaction will keep in single period motion with certain torque, but bifurcation, amplitude jump and state mutation occured at harmonic frequency, and jumped into chaos from single period motion at last. But the torque will restrain the trend to chaos, and the high enough torque will push the system from chaos back to single period motion.

Key words: planetary reverse system, nonlinear dynamics, bifurcation, chaos identification