1988
DOI: 10.1115/1.3269488
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High Order Subharmonic Response of High Speed Rotors in Bearing Clearance

Abstract: Subharmonic vibration refers to the response of a dynamic system to excitation at a whole-number multiple (n) of its natural frequency by vibrating asynchronously at its natural frequency, that is, at (1/n) of the excitation. The phenomenon is generally associated with asymmetry in the stiffness vs. deflection characteristic of the system. It may be characterized as the “bouncing” of the rotor on the surface of the stiff support, energized by every nth unbalance impulse prior to contact. Second, third and four… Show more

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Cited by 204 publications
(117 citation statements)
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“…A 1/4 order subharmonic response can also exist under certain conditions, as shown in Figure 7. These results confirm that high-speed rotating machinery with asymmetry in the bearing supports might have a lower order subharmonic vibration response [14]. In a recent paper submitted by the present authors [15], the same whirling shapes for a model presented in reference [14] were obtained by using the harmonic balance method.…”
Section: Numerical Results and Discussionsupporting
confidence: 67%
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“…A 1/4 order subharmonic response can also exist under certain conditions, as shown in Figure 7. These results confirm that high-speed rotating machinery with asymmetry in the bearing supports might have a lower order subharmonic vibration response [14]. In a recent paper submitted by the present authors [15], the same whirling shapes for a model presented in reference [14] were obtained by using the harmonic balance method.…”
Section: Numerical Results and Discussionsupporting
confidence: 67%
“…These results confirm that high-speed rotating machinery with asymmetry in the bearing supports might have a lower order subharmonic vibration response [14]. In a recent paper submitted by the present authors [15], the same whirling shapes for a model presented in reference [14] were obtained by using the harmonic balance method. The effects of the side force, eccentricity and gap size play a significant role in the occurrence of dangerous subharmonics as mentioned above.…”
Section: Numerical Results and Discussionsupporting
confidence: 67%
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“…The condition for backward whirl, which may involve severe contact forces, is understood as the condition in which the rotor is in rolling contact with the TDB [22]. A number of authors have considered the dynamics of a rotor within a clearance space [27][28][29][30][31][32][33][34][35][36][37][38][39]. With respect to operational magnetic bearing systems, which is in contrast to complete delevitation, it is important to gain a full understanding of all nonlinear dynamic issues so that appropriate control action may be designed to recover contact-free levitation.…”
Section: Introduction To Magnetic Bearing Systems and Their Associatementioning
confidence: 99%
“…It becomes well known that rotor/stator rubbing can induce different kinds of dynamical behaviours, the periodic synchronous full annular rubs [1][2][3][4], sub-and super-harmonic motions [5,6], the quasi-periodic partial rubs [7,8], chaotic responses [9,10], as well as the destructive self-excited dry friction backward whirl [2,11,12].…”
Section: Introductionmentioning
confidence: 99%