Multi-parametric Dynamic Analysis of a Rolling Bearings System

Kydyrbekuly, Almatbek; Ibrayev, Gulama-Garip Alisher; Ospan, Tangat; Nikonov, Anatolij

doi:10.5545/sv-jme.2021.7178

Cited by 5 publications

(7 citation statements)

References 23 publications

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“…In this case, elastic deformations in the rolling bearing occur in the radial and axial directions and are non-linear [1]. The radial compliance of the bearings is caused by the deformation of the rolling elements and roller ways at the points of contact [2]. Consider a symmetrical vertical rotor of mass m, having a cylindrical cavity of radius R, and a static imbalance e. A cylinder of height h is partially filled with a weakly conductive viscous liquid.…”

Section: Methodsmentioning

confidence: 99%

“…In many theoretical and practical studies on the dynamics of rotor systems containing liquid, only oscillations of the rotor with liquid are considered, without taking into account the electromagnetic properties of the liquid and the mobility of the foundation [1]. This assumption leads to certain errors in assessing the dynamic and kinematic characteristics of the rotor system [2]. Studies of such dynamic systems as rotary systems show the importance of taking into account the electromagnetic properties of the fluid, the nonlinear properties of the shaft supports, foundation vibration and the need to develop measures to reduce them [3].…”

Section: Introductionmentioning

confidence: 99%

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Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Kydyrbekuly,

Zhauyt,

Ibrayev

2023

Preprint

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The generalized dynamic model of the rotor system, presented in the paper, is the first model that takes into account the interconnected oscillations of the “rotor - weakly conductive fluid – foundation” system under the action of such parameters as fluid and rotor motion, linear eccentricity, friction forces, foundation vibration and nonlinear characteristics of rolling bearings, as well as the action of a magnetic field on the fluid. Consistent equations of motion for the system “rotor - weakly conductive fluid – foundation” were derived and solved analytically. Forced and natural oscillations of the system were analyzed, and the distinctive features of the rotor system dynamics were revealed. The values of frequencies and amplitudes, which are one of the main factors determining the dynamic behavior of the system, were obtained and studied.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Kydyrbekuly,

Zhauyt,

Ibrayev

2023

Preprint

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“…Chernets et al [24] proposed a computational method to solve the plane contact problem of elastic theory to determine the contact strength and tribological durability of plain bearings. Kydyrbekuly et al [25] proposed a method for amplitude calculation and frequency characteristic construction of forced vibration and self-excited vibration of rotor-fluid-foundation system of nonlinear rolling bearing based on complex amplitude and harmonic balance method.…”

Section: Introductionmentioning

confidence: 99%

Effects of Single/Compound Pit Texture on the Friction-induced Vibration and Noise of Thrust Cylindrical Roller Bearings

Wang¹,

Zhang²,

Wang³

et al. 2023

sv-jme

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To improve the reliability and service life of thrust cylindrical roller bearings (TCRBs), the effects of single/compound pit texture on tribological properties and on friction-induced vibration and noise were studied. Laser marking equipment was used to create compound pit texture on a shaft washer. A universal friction and wear test rig was used to measure the friction force, vibration acceleration, and noise signals of TCRBs. The differences between the single/composite pit-textured and non-textured surfaces were studied in terms of the friction, wear, and vibration noise properties. The results revealed that the friction force and wear loss of the single/composite pit-textured surface were markedly lower than those of the non-textured surface. Compared to non-textured surface bearings, the friction force and wear loss for textured surface bearings were reduced by 39.6 % and 59.6 %, respectively, when the diameter, depth, and area density of the pit were 300 μm, 10 μm, and 10 %, respectively. The single/composite pit-textured surface exhibited good potential for vibration absorption and noise suppression. It could effectively interfere with the self-excited vibration of the TCRBs friction pair system, thereby reducing the degree of vibration noise of the TCRBs.

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“…[30,31], mathematical models of the "rotor-bearing-foundation" system, in a linear formulation, with the rotor shaft located horizontally, are presented. In a nonlinear formulation, this problem was partially considered and analyzed by the method of complex amplitudes in [32,33]. A more complicated mathematical model of this kind makes it possible to investigate the effect of rotational speed on frequency spectra and amplitudefrequency characteristics for any rotor system on rolling bearings.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Nonlinear Forced Vibrations of the “Rotor-Movable Foundation” System on Rolling Bearings by the Jacobi Elliptic Functions Method

2022

Self Cite

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The paper considers a rotor system with a nonlinear characteristic. Its equations of motion are a kind of Duffing class equations with multiple degrees of freedom. The paper shows the advantage of using the method of elliptic functions for solving problems of this type. This method enables us to take into account not only vibrations of the rotor installed in elastic nonlinear supports, but also vibrations of the foundation. A comparative analysis of application of the method of elliptic functions proposed by the authors is carried out by comparing the derived equations of motion of the system, as well as by comparing the obtained amplitude-frequency characteristics with the results obtained by the numerical Runge–Kutta–Fehlberg’s 4-order method and the approximate analytical Van der Pol method. The regions of resonant frequencies for superharmonic oscillations and bifurcation regimes are determined. It is concluded that the method proposed by the authors is a more accurate and general case than the previously used approximate methods.

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Multi-parametric Dynamic Analysis of a Rolling Bearings System

Cited by 5 publications

References 23 publications

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Effects of Single/Compound Pit Texture on the Friction-induced Vibration and Noise of Thrust Cylindrical Roller Bearings

Investigation of Nonlinear Forced Vibrations of the “Rotor-Movable Foundation” System on Rolling Bearings by the Jacobi Elliptic Functions Method

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