Abstract
The stability of periodic motions of a dual-disk rotor system, in which rub-impacts occur between a disk and a fixed limiter, is investigated. The dynamical model of the system is proposed with ordinary differential equations with two dimensional freedoms of transverse vibrations of the two rigid disks along the shaft. With the first order approximation of the piece-wisely rub-impact force, the solutions of periodic motions are deduced with harmonic expansion technique. Then, the stability and bifurcations of the system are discussed via the Floquet theory analytically. In the same range of rotating frequency, the stability analysis of the analytical solution shows good agreement with the stability and bifurcation diagrams from direct numerical integration.
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Han, Q., Zhang, Z., Liu, C., Wen, B. (2009). Periodic Motion Stability of a Dual-Disk Rotor System with Rub-Impact at Fixed Limiter. In: Ibrahim, R.A., Babitsky, V.I., Okuma, M. (eds) Vibro-Impact Dynamics of Ocean Systems and Related Problems. Lecture Notes in Applied and Computational Mechanics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00629-6_11
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DOI: https://doi.org/10.1007/978-3-642-00629-6_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00628-9
Online ISBN: 978-3-642-00629-6
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