悬臂柔轴的干摩擦失稳
Flexible Shaft Whirl Induced by Dry Friction and Its Stability
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摘要: 本文讨论柔轴高速自转时由于摩擦激发的弓状回转现象.摩擦力作用面不与集聚质量面重合.导出了回转频率和回转形态的计算公式, 分析了它的运动稳定性.结果指出,存在着稳定的弓状回转,其频率大于转轴的临界转速.Abstract: This paper is devoted to the study of the whirling phenomena of flexible rotors due to dry friction. The mechanical model used here is a two-degree-of-freedom system in which the rubbing plane is not coincident with the rotating plane of the lumped mass. The characteristic equation of whirl speeds is derived and the whirling modes are obtained. The dynamic stability of each admissible whirling motion is also discussed. The results show that the whirl speeds are always higher than the critical speed of the shaft.
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[1] Den Hartog,J.P.,Mechanical Vibrations,fourth edition,McGraw-Hill,(1956),(有中译本). [2] Billett,R.A.,Shaft whirl induced by dry friction,The Engineer,20(1965),713-714. [3] Ehrich,F.F.and O'Connor,J.J.,Stator whirl with rotors in bearing clearance,Journal of Engineering for Industry,Trans.ASME,89,3(1967),381. [4] Begg,I.C.,Friction induced rotor whirl-A study in stability,Journal of Engineering for Industry,Trans.ASME,96,5(1974),450-454. -
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