Calculation of the necessary level of external radial load for inner ring support on q rolling elements in a radial bearing with internal radial clearance

Tomović, R.

doi:10.1016/j.ijmecsci.2012.04.002

Cited by 49 publications

(69 citation statements)

References 6 publications

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“…The contact surface damage caused by contamination particles induces the bearings radial clearance change, significantly reducing its service life and increasing the overall vibrations level [22]. Also, load distribution between balls and rings of the rolling bearing is disturbed, which also affects the bearings vibrations level [23]. That is why selection of correct preload and number of bearing balls is very important as claimed by Tomovic [24] and Mitrovic [25].…”

Section: Theoretical and Experimental Backgroundmentioning

confidence: 99%

Analysis and prediction of vibrations of ball bearings contaminated by open pit coal mine debris particles

et al. 2017

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Preliminary communicationAnalysis of the relevant literature has shown that only few researches are dealing with the bearings dynamic behaviour in real environmental conditionswhere high concentration of solid contaminant particles is evident. There is still no established mathematical correlation between bearings vibration characteristics, working time and concentration level of contaminant particles in their grease. Solving this problem was the main goal of research described in this paper. First step was thorough analysis of the chemical composition and structure of contamination particles directly causing the sample bearings failure on open pit coal mines. After that, specific experimental methodology was developed and implemented. Finally, by processing of the experimental results, new mathematical correlation between listed bearings characteristics was determined. Keywords: bearings; conveyor idlers; coal mines; contamination; particles; vibrations Analiza i predviđanje vibracija kotrljajnih kugličnih ležaja kontaminiranih nečistoćama s površinskih kopova ugljaPrethodno priopćenje Analiza relevantne literature pokazuje da se vrlo mali broj istraživača bavi problematikom dinamičkog ponašanja kotrljajnih ležaja u realnim

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Section: Theoretical and Experimental Backgroundmentioning

confidence: 99%

Analysis and prediction of vibrations of ball bearings contaminated by open pit coal mine debris particles

et al. 2017

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“…Level III aims to track a number of points along the inner and outer raceways and to extract the time histories of the contact force on those points. Level III compares two methods of analysis and may be extended to other methods . Level III calculates the contact pressure based on analytical relationships , integrates the short‐term results across different cases and fits the long‐term distribution with probability functions.…”

Section: Analysis Proceduresmentioning

confidence: 99%

Long‐term contact fatigue analysis of a planetary bearing in a land‐based wind turbine drivetrain

et al. 2014

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This paper presents an approach for performing a long-term fatigue analysis of rolling element bearings in wind turbine gearboxes. Multilevel integrated analyses were performed using the aeroservoelastic code HAWC2, the multibody dynamics code SIMPACK, the three-dimensional finite element code Calyx and a simplified lifetime prediction model for rolling contact fatigue. The National Renewable Energy Laboratory's 750 kW wind turbine and its planetary bearing were studied. Design load cases, including normal production, parked and transient load cases, were considered. To obtain the internal bearing load distribution, an advanced approach combining a finite element/contact mechanics model and a response surface model were used. In addition, a traditional approach, the Harris model, was also applied for comparison. The long-term probability distribution of the bearing raceway contact pressure range was then obtained using Weibull and generalized Gamma distribution functions. Finally, we estimated the fatigue life of the bearing, discussed the differences of the methods used to obtain the bearing internal loads and analyzed the effects of the environmental conditions and load cases on the results. The Harris model may underestimate the inner raceway life by 55.7%, which can cause large load fluctuations along the raceways. The bearing fatigue life is very sensitive to the wind distribution and less affected by the transient and parked load cases.

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“…The procedure of determination of coefficients K ir and K or is presented in refs. [27,29]. According to the definition, an elastic deformation in the contact zone of jth rolling element and bearing races stores a potential energy depending on the intensity of an elastic force and deformation, which can be determined by the following equation…”

Section: Potential Energy Of Non-linear Contact Deformationmentioning

confidence: 99%

“…This deflection can be determined by the procedure proposed by Tomovic. 26,27 If roller bearing starts rotating from the rest, the initial generalized velocities are assumed to be The Newton-Raphson method for solving the equations of motion (50) and (51) requires the evaluation of a matrix, known as the Jacobian of the system, which is defined as follows :…”

Section: Numerical Model Of Dynamic Behaviour Of Rolling Bearingmentioning

confidence: 99%

Analysis of dynamic behaviour of rotor-bearing system

Jovanović

Tomović

2013

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper deals with a non-linear mathematical model for simulation and analysis of a dynamic behaviour of a rotorbearing system. The model is used for the simulation of plane motion of a centre of rotor's cross-section which makes the model convenient for the analysis of vibrations generated in a rolling bearing as well as for the analysis of accuracy of the revolution of rotor supported on a rolling bearing. The model takes into account the following quantities: internal radial clearance, external radial load and unbalanced load. Differential equations of a motion are derived using Lagrange's equations. The contacts between the balls and the rings are considered to be non-linear with a stiffness derived by the Hertzian theory of an elastic contact. The proposed model enables direct determination of local contact deformations which significantly reduces needed computations and CPU time. The results obtained by the model are used to reconstruct phase-space trajectories and Poincaré maps and to calculate the largest Lyapunov exponent in order to establish the stability of rotor-bearing system motion. A computer program is developed based on the mathematical model for the simulation and analysis of a dynamic behaviour of a rotor-bearing system.

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Calculation of the necessary level of external radial load for inner ring support on q rolling elements in a radial bearing with internal radial clearance

Cited by 49 publications

References 6 publications

Analysis and prediction of vibrations of ball bearings contaminated by open pit coal mine debris particles

Analysis and prediction of vibrations of ball bearings contaminated by open pit coal mine debris particles

Long‐term contact fatigue analysis of a planetary bearing in a land‐based wind turbine drivetrain

Analysis of dynamic behaviour of rotor-bearing system

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