Nonlinear Vibrations of a Rotor-Fluid-Foundation System Supported by Rolling Bearings

Kydyrbekuly, Almatbek; Khajiyeva, Lelya; Ybraev, Gulama-Garyp Alysher; Kaplunov, Julius

doi:10.5545/sv-jme.2016.3423

Cited by 9 publications

(14 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

See 1 more Smart Citation

Multi-parametric Dynamic Analysis of a Rolling Bearings System

Kydyrbekuly

Ibrayev

Ospan

et al. 2021

SV-JME

Self Cite

View full text Add to dashboard Cite

A method for calculating amplitudes and constructing frequency characteristics of forced and self-excited vibrations of a rotor-fluid-foundation system on rolling bearings with a non-linear characteristic based on the method of complex amplitudes and harmonic balance has been developed. Non-linear equations of motion of the rotor-fluid-foundation system are derived, and analytical methods of their solution are presented. Frequencies of fundamental and ultra-harmonic resonances are determined. The intervals between self-oscillation frequencies are estimated. The dependence of amplitudes on the amount of fluid in the rotor cavity, the mass of the foundation, linear imbalance, the value of the stiffness coefficient, and the damping coefficient is shown.

show abstract

Section: Statement Of Problem and Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-parametric Dynamic Analysis of a Rolling Bearings System

Kydyrbekuly

Ibrayev

Ospan

et al. 2021

SV-JME

Self Cite

View full text Add to dashboard Cite

show abstract

“…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%

Applications of Jacobi’s Elliptic Functions in Forced Vibration in Nonlinear Rotor Dynamics

Ibrayev

Elishakoff

Kydyrbekuly

2021

Preprint

Self Cite

View full text Add to dashboard Cite

In this paper studied a rotary system with a nonlinearity, the equations of motion of which is one of the types of the Duffing’s equations with multidegree-of-freedom, and also consider the advantages of using the elliptic function method to solve problems of this type. The system studied in this paper is also distinguished by the fact that in addition to the rotor vibrations in elastic supports with a nonlinearity, the vibrations of the foundation are also taken into account. The article presents a comparative analysis of the numerical Runge-Kutta-Fehlberg's 4-order method with an error estimate of 5-order, the approximate analytical Van der Pol’s method and the elliptic function method proposed by the authors by comparing the obtained equations of motion of the system, as well as by comparing the constructed frequency response characteristic. From the results obtained, it follows that the method proposed by the authors can serve as a more accurate, general case of previously used approximate methods.

show abstract

“…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%

Influences of Hydrodynamic Forces on the Identification of the Rotor-Stator-Rubbing Fault in a Rotating Machinery

Tchomeni

Sozinando

Alugongo

2020

International Journal of Rotating Machinery

View full text Add to dashboard Cite

Mechanical failures of a complex machine such as rotor widely used in severe conditions often require specialized knowledge, technical expertise, and imagination to prevent its rupture. In this paper, a model for analyzing excitation of a coupled lateral-torsional vibrations of a shaft system in an inviscid fluid is proposed. The model considers the recurrent contact of the vibrating shaft to a fixed stator. The simplified mathematical model of the rotor-stator system is established based on the energy principle. The dynamic characteristics of the fluid-rotor system are studied, and the features of rub-impact are extracted numerically and validated experimentally under the effects of the unbalance and the hydrodynamic forces. The main contribution of this article is in extraction and identification of the rub features in an inviscid medium which proved to be complex by the obstruction of the fluid and required the use of appropriate signal processing tools. The results through a synchrosqueezing wavelet transform indicated that the exciting fluid force could significantly attenuate the instability and amplitude of rubbing rotor. The experimental results demonstrated that for half the first critical speed, the subharmonic 1 / 2 × Ω and the irregular orbit patterns provide good indices for rub detection in an inviscid fluid of the rotating shafts. Finally, it is revealed that the instantaneous frequency extraction based on wavelet synchrosqueezing is a useful tool to identify the weak and hidden peak harmonics localised in the time-frequency maps of the fluid-rotor system.

show abstract

Nonlinear Vibrations of a Rotor-Fluid-Foundation System Supported by Rolling Bearings

Cited by 9 publications

References 19 publications

Multi-parametric Dynamic Analysis of a Rolling Bearings System

Multi-parametric Dynamic Analysis of a Rolling Bearings System

Applications of Jacobi’s Elliptic Functions in Forced Vibration in Nonlinear Rotor Dynamics

Influences of Hydrodynamic Forces on the Identification of the Rotor-Stator-Rubbing Fault in a Rotating Machinery

Contact Info

Product

Resources

About