Natural frequency analysis on torsional vibrations of geared transmission system with uncertainties

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (10) : 56-62.

WEI Sha，HAN Qin-kai，CHU Fu-lei

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Abstract

The purely torsional vibration model of the geared transmission system with four degrees of freedom is developed to research the natural characteristics of the gear system with the consideration of fluctuations of tooth mesh stiffness and other dynamical parameters. The interval modal analysis method, relative uncertainties and the concavity and convexity analysis are used to investigate the modal characteristic with the interval dynamic parameters. The fluctuation intervals of natural frequencies are obtained by a numerical example. The results show that: the natural frequency under the deterministic model is not the central value of the interval natural frequency caused by parameter fluctuations. There are upper and lower deviations caused by the concavity and convexity. The fluctuating laws of natural frequency with fluctuation parameters can be identified by the relative uncertainties of the upper and lower bounds and the concavity and convexity. The greater the difference between the relative uncertainties of the upper and lower bound, the more obvious the corresponding concavity and convexity of the curve. The effects of different interval dynamic parameters to the natural frequency are different at the analysis of single interval parameter. The interval natural frequency is largest and exceeds the acceptable results of engineering when the fluctuations of all the corresponding parameters are taken into account. Therefore the analysis of the interval fluctuations of system parameters is significant.

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gear / natural frequencies / modal / interval analysis

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WEI Sha，HAN Qin-kai，CHU Fu-lei. Natural frequency analysis on torsional vibrations of geared transmission system with uncertainties[J]. Journal of Vibration and Shock, 2015, 34(10): 56-62

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