2016
DOI: 10.5545/sv-jme.2016.3423
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Nonlinear Vibrations of a Rotor-Fluid-Foundation System Supported by Rolling Bearings

Abstract: A generalized dynamic model taking into account coupled vibrations of a rotor-fluid-foundation system, linear eccentricity, damping, and rolling bearing nonlinearity is developed. The nonlinear equations of motion are formulated and analysed. Forced and free vibrations of the system are investigated. Peculiarities of the dynamic behaviour are revealed, including properties of vibration frequencies and amplitudes. The obtained results have the potential to be implemented in the optimal design of modern industri… Show more

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Cited by 9 publications
(14 citation statements)
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“…for analyzing plane-parallel motion of the rotor and foundation. Then, assuming that damping force acting on rotor depends on velocities of rotor itself, and similarly, damping force acting on foundation depends on velocities of foundation itself, we present the equations of motion of the system in question in the form, here and below see [8] and references therein,…”
Section: Statement Of Problem and Equations Of Motionmentioning
confidence: 99%
See 1 more Smart Citation
“…for analyzing plane-parallel motion of the rotor and foundation. Then, assuming that damping force acting on rotor depends on velocities of rotor itself, and similarly, damping force acting on foundation depends on velocities of foundation itself, we present the equations of motion of the system in question in the form, here and below see [8] and references therein,…”
Section: Statement Of Problem and Equations Of Motionmentioning
confidence: 99%
“…In the design of rotary machines, one of the most important mechanical components described by nonlinear models is elastic support, which ensure operability and reliability of the system [5][6][7]. In this paper, rolling bearings act as elastic supports [8]. Neglect of nonlinear properties of bearings does not allow us to obtain correct qualitative and quantitative results for rotor systems [9][10][11].…”
Section: Introductionmentioning
confidence: 99%
“…The system of equations ( 12) describes the coupled motion of an unbalanced rotor and foundation with non-linear supports. In the absence of foundation movement, system (12) will consist of two equations describing the equation of motion of the rotor in nonlinear supports, which have been studied in sufficient detail in the [54,55].…”
Section: C X X C X X X Me T My C Y Y C Y Y Y Me T Mx C X C X X C X X X My C Y C Y Y C Y Y Ymentioning
confidence: 99%
“…They used theoretical mathematical analysis results for the frequency subjected to different fluid parameters. Only a few researchers have studied the vibration of rotating machinery with fault operating under the fluid domain [4,5]. Tchomeni and Alugongo [5] identified a complex rotor vibration system, induced by the oscillation of an unbalanced rigid rotor in a viscous fluid under the parametric excitations, namely, rub and crack.…”
Section: Introductionmentioning
confidence: 99%