Modelling of a rotor-ball bearings system using Timoshenko beam and effects of rotating shaft on their dynamics

Metsebo, Jules; Upadhyay, Nitin; Kankar, Pavan Kumar; Nbendjo, B. R. Nana

doi:10.1007/s12206-016-1101-x

Cited by 23 publications

(11 citation statements)

References 26 publications

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“…The results highlighted that FEA is an effective tool for the analysis of a rotorbearing system under dynamic conditions. Upadhyay et al 54 and Metsebo et al 55 have proposed an analytical formulation for the investigations of the rotorbearing system. The authors considered the rotor as a Timoshenko beam and the unbalanced forces were taken into account.…”

Section: Nonlinearity Due To Unbalanced Forcesmentioning

confidence: 99%

Nonlinear dynamic investigations on rolling element bearings: A review

Sharma

Upadhyay

Kankar

et al. 2018

Advances in Mechanical Engineering

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Rolling element bearings are one of the most precarious components and play an important role in the effective operation of rotating machinery. Bearings are one of the foremost sources of nonlinearity in rotating machineries which significantly affect the behavior of the system. The main sources of nonlinearity are radial internal clearance, unbalanced force, bearing preload, stiffness, damping, number of rolling element, and so on. Surface defects such as localized and distributed defects are also accountable for the nonlinear behavior of the system. A large number of studies and methodologies have been proposed in the last two decades to understand the nonlinear dynamic behavior of rolling element bearings considering various bearing parameters and surface defects. In this work, the authors have presented a review of different theoretical models and experimental works proposed for the analysis of the nonlinear behavior of rotating systems. This review article first quotes various techniques which have been explored for the nonlinearity analysis in rolling contact elements such as rotor-bearing system and gears. Some of the important gaps are highlighted in this work which can be considered for future studies.

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Section: Nonlinearity Due To Unbalanced Forcesmentioning

confidence: 99%

Nonlinear dynamic investigations on rolling element bearings: A review

Sharma

Upadhyay

Kankar

et al. 2018

Advances in Mechanical Engineering

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“…In the linear theory of the dynamics of rotary machines, damping and elastic properties of bearings are not accurately specified, which is especially important when it is necessary to study high-speed and high-frequency processes. In fact, the rigidity of a rolling bearing depends on many factors, among which one can note the size of the gap and its geometry [21], the type of load and the mode of operation of the system [22][23][24][25], the number of rolling elements in the bearing, the size and type of fit of the rings, etc. [24,[26][27][28].…”

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

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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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“…Metsebo et al have focused on the influence of the rotating shaft on the dynamic of a rotor ball bearing system. They carried out a mathematical modeling for the system considering the shaft as a Timoshenko beam [8].…”

Section: Introductionmentioning

confidence: 99%

Effect of Impeller Diameter on Dynamic Response of a Centrifugal Pump Rotor

et al. 2021

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This paper investigates the effect of impeller diameter on the dynamic response of a centrifugal pump using an inverse dynamic method. For this purpose, the equations of motion of the shaft and the impeller are derived based on Timoshenko beam theory considering the impeller as a concentrated mass disk. For practical modeling, the model of Jones and Harris is added to the equation to include the effect of bearings. As a case study, the model is applied to a process pump used in an oil refinery. Computing the eigenvalues of the model and comparing them with the natural frequencies of the structure, the model updating of the problem is performed through an indirect method. Three impellers with different diameters are applied to the updated model. The results show that increasing the diameter of the pump impeller can increase the amplitude of vibration up to 52% at critical speeds of the rotor. It is found that in addition to the hydraulic condition and efficiency, the impeller diameter should be considered as an important factor in the selection of centrifugal pumps.

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Modelling of a rotor-ball bearings system using Timoshenko beam and effects of rotating shaft on their dynamics

Cited by 23 publications

References 26 publications

Nonlinear dynamic investigations on rolling element bearings: A review

Nonlinear dynamic investigations on rolling element bearings: A review

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

Effect of Impeller Diameter on Dynamic Response of a Centrifugal Pump Rotor

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