Calculation of the boundary values of rolling bearing deflection in relation to the number of active rolling elements

Tomović, R.

doi:10.1016/j.mechmachtheory.2011.08.006

Cited by 38 publications

(67 citation statements)

References 5 publications

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“…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]. Contact surface damage level also depends on the hardness of the ductile contamination particles and the strength of the brittle contamination particles, because they deform or fracture when they enter the zone between balls and rings of the contaminated bearing [26].…”

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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“…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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“…The model has been extended to multiple bearings with localized faults. Furthermore, a more accurate load modulation based on Tomovic [26] and lubricant and slipping effects have been taken into consideration together with the dynamic load variation of the Independent Cart System [27]. The model has been tuned and validated by means of a campaign of experimental tests performed in different operational conditions.…”

Section: Introductionmentioning

confidence: 99%

A bearing fault model for Independent Cart Conveyor System and its validation

et al. 2020

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Independent Cart Conveyor System is one of the most promising technology in automation industries. It combines the benefits of servo motors with the advantages of linear motors. It consists of a close path made up of modular linear motors having a curved or a straight shape that control a fleet of carts independently. Each cart is placed along the motors and it is connected, through rolling bearings, to a rail set on the motors themselves. The bearings are subject to wear and the condition monitoring of these elements is challenging for the non-stationary working conditions of variable load and variable speed profiles. This paper provides a bearing fault vibration model that takes into account the mechanical design of the cart, its motion profile, the shape of the conveyor path, the load variation and the type of fault on the rolling bearing.

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Calculation of the boundary values of rolling bearing deflection in relation to the number of active rolling elements

Cited by 38 publications

References 5 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

Analysis of dynamic behaviour of rotor-bearing system

A bearing fault model for Independent Cart Conveyor System and its validation

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