Finite Element Modeling of a Rotor Shaft Rolling Bearings System With Consideration of Bearing Nonlinearities

El-Saeidy, Fawzi M. A.

doi:10.1177/107754639800400503

Cited by 25 publications

(11 citation statements)

References 20 publications

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“…Because a real rotor bearing system is very complicated and difficult to model [3][4][5][6][7][8], the analysis of the dynamic behavior of the system was based on the following assumptions while developing the mathematical model:…”

Section: Problem Formulationmentioning

confidence: 99%

Dynamic Analysis of Effect of Number of Balls on Rotor-Bearing System

Hwang¹,

Nguyen²

2013

Journal of the Korean Society of Tribologists and Lubrication E

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This paper presents a numerical model for investigating the structural dynamic response of an unbalanced rotor system supported on deep groove ball bearings. The aim of this work is to develop a numerical model for investigating the effect of the number of balls on the dynamic characteristics of the rotor ball bearing system. The fourth-order Runge-Kutta numerical integration technique has been applied. The results are presented in the form of time displacement responses and frequency spectra. The analysis demonstrates that the model can be used as a tool for predicting the nonlinear dynamic behavior of the rotor ball bearing system under different operating conditions. Moreover, the study may contribute to a further understanding of the nonlinear dynamics of rotor bearing systems.

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Section: Problem Formulationmentioning

confidence: 99%

Dynamic Analysis of Effect of Number of Balls on Rotor-Bearing System

Hwang¹,

Nguyen²

2013

Journal of the Korean Society of Tribologists and Lubrication E

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“…u and v are the global elastic displacements along the X and Y, respectively. Let z k e stands for the element 16ϫ1 nodal points global coordinates vector and q k e refers to the kth element global displacement field vector, such that z k e ϭ͓x j y j ͔ T , q k e ϭ͓u j v j ͔ T , jϭ1,2,.., 8. ͑2͒…”

Section: Analytical Modelmentioning

confidence: 99%

“…Premultiply by (⌽ N ) T and use the transformations ͓q q q ͔ T ϭ⌽ N ͓ ͔ T , where is the modal displacement vector and ⌽ N is the normalized ͑with respect to M͒ modal matrix obtained by solving the eigenvalue problem, we get ϩ គ 2 ϭF , where F ϭ(⌽ N ) T Q is the load vector expressed in the normal coordinates system and គ 2 is the spectral matrix. The scheme used to solve the above uncoupled system is 8 the force F s (t j ) is assumed to be constant during time interval t j рtрt jϩ1 ͑i.e., time step has to be small͒. In this work, ⌬tϭ2ϫ10 Ϫ7 s.…”

Section: B Equations Of Motion and Solution Schemementioning

confidence: 99%

Finite-element vibration analysis of a cantilever plate with a central circular hole subject to an in-plane moving (rotating) load

El-Saeidy¹

2001

The Journal of the Acoustical Society of America

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In rotating radial ball bearings supported on elastic casings with the bearing outer ring lightly fitted into the housing, the force due to the ball elastic contact is indeed a rotating load vector rolling over the housing. For accurate estimation of the casing annulus ͑circular hole͒ dynamic deformations, which in turn affect bearing tolerances and the magnitude of the generated forces, the effect of the load rotation ͑motion͒ on the housing vibration should be considered. Considering the integral casing and outer ring to be a plate, an isoparametric plane stress finite-element ͑FE͒ based analytical procedure is presented for dynamic analysis of housing as affected by load vector rotation. The equations of motion are obtained using Lagrange's equations and decoupled using the normal coordinates representation and solved using a special numerical integration scheme. The computations are carried out using the FE program DAMRO 1. Results in both time and frequency domains are discussed and it is found that higher load rotational speeds decrease deformations and increase the smoothness of the annulus surface. With lower speeds, the deformations are always positive ͑contraction͒, and at higher speeds they exhibit both contraction and expansion around the annulus circumference. The vibrations measured at the casing outer surface show that the spectrum in the direction of casing rigid support attracts more system natural frequencies compared to the orthogonal direction spectrum. This underlines the importance of the vibration measuring probe͑s͒ orientation with respect to the casing rigid support direction to capture all the important vibrations.

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“…For the case of non-defective rolling element bearings, a number of researchers [281][282][283][284][285][286][287][288][289][290][291][292][293][294][295][296][297] have conducted 570 FE modelling studies using the aforementioned software packages to investigate the following static pa-571 rameters -stresses at the rolling element-to-raceway contact interfaces, rolling element-to-raceway contact 572 forces, load-deflection relationships, load carrying capacity of rolling elements, stiffness matrix calculation, 573 and fatigue life. As the models in references [281][282][283][284][285][286][287][288][289][290][291][292][293][294][295][296][297] do not include a defect within the bearing models, 574 they are not directly relevant to the current paper, and therefore, are not reviewed here.…”

mentioning

confidence: 99%

“…As the models in references [281][282][283][284][285][286][287][288][289][290][291][292][293][294][295][296][297] do not include a defect within the bearing models, 574 they are not directly relevant to the current paper, and therefore, are not reviewed here. However, in ref-…”

mentioning

confidence: 99%

An extensive review of vibration modelling of rolling element bearings with localised and extended defects

Singh

Howard

Hansen

2015

Journal of Sound and Vibration

124

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This paper presents a review of literature concerned with the vibration modelling of rolling element bearings that have localised and extended defects. An overview is provided of contact fatigue, which initiates subsurface and surface fatigue spalling, and subsequently leads to reducing the useful life of rolling element bearings. A review is described of the development of all analytical and finite element (FE) models available in the literature for predicting the vibration response of rolling element bearings with localised and extended defects. Low-and high-frequency vibration signals are generated at the entry and exit of the rolling elements into and out of a bearing defect, respectively. The development of this finding is described along with analytical models to approximate these vibration signals. Algorithms to estimate the size of bearing defects are reviewed and their limitations are discussed. A summary of the literature is presented followed by recommendations for future research.

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Finite Element Modeling of a Rotor Shaft Rolling Bearings System With Consideration of Bearing Nonlinearities

Cited by 25 publications

References 20 publications

Dynamic Analysis of Effect of Number of Balls on Rotor-Bearing System

Dynamic Analysis of Effect of Number of Balls on Rotor-Bearing System

Finite-element vibration analysis of a cantilever plate with a central circular hole subject to an in-plane moving (rotating) load

An extensive review of vibration modelling of rolling element bearings with localised and extended defects

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