Dynamic behavior analysis and time delay feedback control of gear pair system with backlash non-smooth characteristic

作者: Jijian Hu , Haibin Li , Yatao Shi , Shuang Liu

DOI: 10.21595/JVE.2016.17157

关键词:

摘要: The present work investigates the non-smooth vibration characteristic and time delay feedback control of a gear pair system involving backlash time-varying mesh stiffness. Firstly, model with is established. Then in combination discontinuity mapping method, Floquet theory presented to determine stability bifurcation periodic response, period doubling has been accurately predicted. Moreover, maximal Lyapunov exponent obtained chaos state which conform diagram Poincare section. Finally, introduced dynamic behaviors system, numerical simulation results show that can be effectively controlled from chaotic motion into stable by increasing gain or time.

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