Nonlinear dynamic analysis of a rotor system supported by micro fixed-tilting pad gas-lubricated bearings

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (11) : 65-72.

ZHANG Yong-fang1,2, LÜ Ye-di1,2, XIAO Liang-jun1,2, ZHAO Jing-qun1,2, LIU Cheng1,2

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Abstract

By considering gas rarefaction effect, Reynolds equation with Burgdorfer 1st-order slip velocity boundary in the lubrication of micro fixed-tilting pad gas-lubricated bearing was derived. The modified Reynolds equation was solved by the differential transformation method coupled with the finite difference method, and then the nonlinear gas film forces of single pad were calculated. Based on the assembly method, the gas film forces of the micro fixed-tilting pad gas-lubricated bearing were obtained. For a rigid rotor system supported by micro fixed-tilting pad gas-lubricated bearings, the unbalanced responses of the rotor were investigated by the orbit diagram, the Poincaré map diagram and the time series diagram. In addition, the comparisons of influences of Knudsen number and rotational speed on the nonlinear dynamic characteristics of the rotor were made. The results show that the gas rarefaction effect has a great influence on the orbits of the center of the rotor. And the unbalance responses of the rotor system characterized as period-1, period-3, period-4 motions.

Key words

micro gas-lubricated bearing / fixed-tilting pad / rotor system / nonlinear

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ZHANG Yong-fang1,2, Lü Ye-di1,2, XIAO Liang-jun1,2, ZHAO Jing-qun1,2, LIU Cheng1,2. Nonlinear dynamic analysis of a rotor system supported by micro fixed-tilting pad gas-lubricated bearings[J]. Journal of Vibration and Shock, 2017, 36(11): 65-72

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