Flexible Shaft Whirl Induced by Dry Friction and Its Stability

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(5): 671-677

Zhang Wen. Flexible Shaft Whirl Induced by Dry Friction and Its Stability[J]. Applied Mathematics and Mechanics, 1982, 3(5): 671-677.

Citation:

Zhang Wen. Flexible Shaft Whirl Induced by Dry Friction and Its Stability[J]. Applied Mathematics and Mechanics, 1982, 3(5): 671-677.

Citation:

Zhang Wen. Flexible Shaft Whirl Induced by Dry Friction and Its Stability[J]. Applied Mathematics and Mechanics, 1982, 3(5): 671-677.

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.

[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.