Whip velocity of backward whirl with slip in multiple-degree-of-freedom rotor-stator system

• Main Author: A. Nikiforov
• Format: Article
• Language: English
• Published: JVE International 2019-12-01
• Series: Mathematical Models in Engineering
• Subjects: contact; full annular rub; reverse whirl; rolling; slipping
• Online Access: https://www.jvejournals.com/article/21198

A mathematic model of flexible rotor for the backward rolling with slipping on compliant stator and an exception concept for the contact forces are suggested. Dynamic characteristics for the rotor whirling are determined by the matrix methods. The whirl velocity can be calculated accurately, not only in case of a clear rolling when it is determined by the rotary velocity and a ratio of rotor radius at the contact place to radial clearance, but also in case of the backward slipping. It is shown for the second or whip case, the whip velocity is defined by some eigenfrequency of the supported rotor by the stator as well as by coefficients of the structural and contact friction. And in fact, the friction sets the whip frequency, and the i-th eigenmode of contactless system sets the whip amplitude (rotor deflections outside the contact place).