Simple and Versatile Dynamic Model of Spherical Roller Bearing

Ghalamchi, Behnam; Sopanen, Jussi; Mikkola, Aki

doi:10.1155/2013/567542

Cited by 32 publications

(39 citation statements)

References 19 publications

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“…An inner raceway rotates with shaft's rotation and goes through the loaded zone of bearing every rotation. This mechanism shows that the vibration of inner raceway with defect is modulated by the shaft rotation [39][40][41].…”

Section: Modelling Of Defects In Rolling Elements (Bearing): Disturbamentioning

confidence: 89%

Global Sensitivity Analysis of High Speed Shaft Subsystem of a Wind Turbine Drive Train

Asadi

Berbyuk

Johansson

2018

International Journal of Rotating Machinery

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The wind turbine dynamics are complex and critical area of study for the wind industry. Quantification of the effective factors to wind turbine performance is valuable for making improvements to both power performance and turbine health. In this paper, the global sensitivity analysis of validated mathematical model for high speed shaft drive train test rig has been developed in order to evaluate the contribution of systems input parameters to the specified objective functions. The drive train in this study consists of a 3-phase induction motor, flexible shafts, shafts' coupling, bearing housing, and disk with an eccentric mass. The governing equations were derived by using the Lagrangian formalism and were solved numerically by Newmark method. The variance based global sensitivity indices are introduced to evaluate the contribution of input structural parameters correlated to the objective functions. The conclusion from the current research provides informative beneficial data in terms of design and optimization of a drive train setup and also can provide better understanding of wind turbine drive train system dynamics with respect to different structural parameters, ultimately designing more efficient drive trains. Finally, the proposed global sensitivity analysis (GSA) methodology demonstrates the detectability of faults in different components.

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Section: Modelling Of Defects In Rolling Elements (Bearing): Disturbamentioning

confidence: 89%

Global Sensitivity Analysis of High Speed Shaft Subsystem of a Wind Turbine Drive Train

Asadi

Berbyuk

Johansson

2018

International Journal of Rotating Machinery

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“…Beyond this, research in bearing modeling deals with the effects on structure-borne noise. The study (Ghalamchi et al, 2013) puts forward a simple model based on Hertz'ian contact stress to calculate rotordynamics for barrel roller bearings. A second application for bearing modeling is damage diagnostics and the identification of the causes of bearing damage.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Roller Bearings

Weiser

Corves

2017

Linköping Electronic Conference Proceedings

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Modeling of multi-body system mechanics plays a central role in the design of mechatronic systems. Roller bearings contribute stiffness and damping to the system dynamics of a mechatronic system. This article shows the stiffness modeling of selected types of roller bearings. The kinematics of deformation of a roller bearing are shown. Based on the principle of Hertz'ian contact stress the elastic forces and torques are calculated. These forces are considered and implemented in the MultiBody Library.

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“…In this part, process of calculation of bearing force which is presented earlier in Ghalamchi et al [8] is shortly reviewed. It is assumed that no slipping occurs between bearing components and centrifugal force will not be considered in this model.…”

Section: Introductionmentioning

confidence: 99%

“…In the proposed model the total bearing force is calculated by summations of individual roller contact forces [8]. From the relative displacements between the inner and outer race, the resultant elastic deformation of the roller i in row j located at angle b i j can be determined.…”

Section: Introductionmentioning

confidence: 99%

“…From the relative displacements between the inner and outer race, the resultant elastic deformation of the roller i in row j located at angle b i j can be determined. The initial distance A 0 between the inner and outer raceway curvature centers can be written as [8]: The corresponding loaded distance for roller i in row j can be written as follows:…”

Section: Introductionmentioning

confidence: 99%

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Spherical Roller Bearing Simulation Model with Localized Defects

Ghalamchi

Sopanen

Mikkola

2015

Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

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Since Spherical Roller Bearings (SRBs) have high load capacity and are self-aligning, they are seeing increasing use in the rotating machinery. Typical applications are paper machines, steel rolling, marine equipment, geared transmissions and modern high power wind turbines. Therefore, it is becoming increasingly important to study the dynamic behavior of SRBs and know the excitations caused by internal imperfections. Extensive research has been conducted to study the dynamics of ball bearings, while studies related to spherical roller bearings are short-shrifted. In this paper a three degree of freedom dynamic model of spherical roller bearing that takes into account the inner and outer race surface defects is introduced. In the model, bearing forces and deflections are calculated as a function of contact deformation and bearing geometry parameters according to nonlinear Hertzian contact theory; taking radial clearance into account. Two defect cases are simulated: an elliptical surface concavity on the inner race, and an elliptical surface concavity on the outer race. In case of elliptical surface concavity, it is assumed that the contact between the roller and inner and outer races is continuous as each bearing roller passes over the defect, and contact stiffness in the defect area varies as a function of the defect's contact geometry. The equations of motion were solved numerically. Simulation results demonstrate that the SRB model is sufficiently accurate for typical rotor bearing systems. Numerical results also show that each local defect excites vibration at a frequencies corresponding to the bearing defect frequencies, and thus, makes it possible to identify the location of the defect (i.e. inner or outer race) from the simulated frequency spectrum. Numerical simulation is carried out successfully for a full rotor-bearing system to demonstrate the application of developed SRB model in a real world analysis. Finally, simulation results are verified and compared to measured data obtained from an equivalent rotor bearing system with a predefined local defect. Comparison shows a good agreement between the simulated and measured results.

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Simple and Versatile Dynamic Model of Spherical Roller Bearing

Cited by 32 publications

References 19 publications

Global Sensitivity Analysis of High Speed Shaft Subsystem of a Wind Turbine Drive Train

Global Sensitivity Analysis of High Speed Shaft Subsystem of a Wind Turbine Drive Train

Modeling of Roller Bearings

Spherical Roller Bearing Simulation Model with Localized Defects

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