Effect of external periodic force on self-sustained vibrations of nonsymmetric one disk rotors supported by arbitary length journal bearings
Keywords:
asymmetrical one disk rotor, arbitrary length journal bearings, forced vibrations, self-sustained vibrations, finite-element procedure, almost periodic motionsAbstract
Nonlinear dynamics of one disk elastic rotor is treated. The shaft is attached in two arbitrary length journal bearings. Unbalance between disk center mass and point of disk attaching to the shaft takes place. The forced vibrations occur due to this unbalance, which always present in a disk. The self-sustained vibrations caused by interaction between fluid film and journal. Nonlinear mathematical model of interaction of forced vibrations and self-sustained vibrations in onedisk elastic rotors is treated. Finite element procedure is used to analyze forces of oil film. The forces of the journal bearings are calculated if form of power series with respect to the generalized displacements and the velocities of the journal. The results of nonlinear analysis of rotor dynamics are presented on frequency responses. The region of almost periodic vibrations is calculated. Both periodic monoharmonic vibrations and the almost periodic motions are observed in the above-mentioned frequency range.
References
Zhang X. Y. (1992) On site testing and analysis of the oil whirl phenomena in national made 200MW stream turbine generator systems. Power Industry 12: 32-37
Legrand M., Jiang D., Pierre C., Shaw S.W. (2004) Nonlinear normal modes of a rotating shaft based on the Invariant Manifold Method. International Journal of Rotating Machinery 10: 319-335
Avramov K.V., Borysiuk O. V. (2011) Nonlinear Dynamics of One Disk Asymmetrical Rotor Supported by Two Journal Bearings. Nonlinear Dynamics Vol.67, №2: 1201-1219
Avramov K.V., Mihlin Yu.V. (2013) Review of applications of nonlinear normal modes for vibrating mechanical systems. Applied Mechanical Reviewer 65 (2) (20 pages) doi:10.1115/1.4023533
Muszynska A. (1986) Whirl and whip-rotor/ bearing stability problems. Journal of Sound and Vibration 110: 443-462
Muszynska A. (1988) Stability of whirl and whip in rotor/ bearing systems. Journal of Sound and Vibration 127: 49-64
Adiletta G., Guido A.R., Rossi C. (1997) Nonlinear dynamics of a rigid unbalanced rotor in journal bearing. Part I: Theoretical Analysis. Nonlinear Dynamics 14: 57-87
Adiletta G., Guido A.R., Rossi C. (1996) Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dynamics 10: 251-269
Avramov K.V. (2010) Asymptotic analysis of the forced vibrations of a one disk rotor on a nonlinear flexible base. Proceedings of Institution of Mechanical Engineers. Part C. Journal of Mechanical Engineering Science 224: 1593-1605
Avramov K.V., Borysiuk O. (2013) Self-sustained vibrations of one dіsk rotor in two arbitrary length journal bearing. Mechanism and Machine Theory 70: 474-486
Borysiuk O.V., Avramov K.V. (2011) Analysis of nonlinear forces acting on rotor shaft in journal bearings. J. of Mechanical Engineering Vol.1, №3: 48–52 (in Russian)
Avramov K. V., Mihlin Yu.V. (2010) Nonlinear dynamics of elastic systems. Regular and Chaotic Dynamics, Moscow–Izhevsk (in Russian)
Subbiah R. (1985) Dynamic Behavior of Rotor Systems with a Comprehensive Model for the Hydrodynamic Bearing Supports Using Modal Analysis and Testing. PhD thesis, Department of Mechanical Engineering, Concordia University, Montreal, Canada
Downloads
Published
Issue
Section
License
Copyright (c) 2015 К. В. Аврамов, А. В. Борисюк
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
All authors agree with the following conditions:
- The authors reserve the right to claim authorship of their work and transfer to the journal the right of first publication of the work under the license agreement (the agreement).
- Authors have a right to conclude independently additional agreement on non-exclusive spreading the work in the form in which it was published by the jpurnal (for example, to place the work in institution repository or to publish as a part of a monograph), providing a link to the first publication of the work in this journal.
- Journal policy allows authors to place the manuscript in the Internet (for example, in the institution repository or on a personal web sites) both before its submission to the editorial board and during its editorial processing, as this ensures the productive scientific discussion and impact positively on the efficiency and dynamics of citation of published work (see The Effect of Open Access).