Nonlinear Dynamic Analysis of Gear-Pair Systems with Uncertainties

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (10) : 44-48.

WEI Sha HAN Qin-kai CHU Fu-lei

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Abstract

The nonlinear dynamic model of a gear pair with backlash and time-varying mesh stiffness is developed to investigate the effects of uncertain dynamic parameters on the dynamic characteristics of the system. The interval harmonic balance method based on the harmonic balance method and the Chebyshev inclusion function is presented. Amplitude frequency responses of two different damping cases are compared. The results show that: at the weak damping case (ζ<<1), the system has obvious nonlinear jumping phenomenon. In addition, the dynamic characteristics of the system are sensitive to the variabilities of the excitation parameters and backlash. They are insensitive to the variabilities of the stiffness and damping parameters. The jumping phenomenon is disappeared and the amplitudes are decreasing when the damping ratio is equal to 0.1. Furthermore, the variabilities of the stiffness parameter, excitation parameters and backlash have significant effects on dynamic response of the system. The influence of uncertain damping on the dynamic response focuses upon the resonance region.

Key words

gear / dynamic response / harmonic balance method / Chebyshev inclusion function / interval analysis

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WEI Sha HAN Qin-kai CHU Fu-lei. Nonlinear Dynamic Analysis of Gear-Pair Systems with Uncertainties[J]. Journal of Vibration and Shock, 2016, 35(10): 44-48

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