A Methodology for Analyzing Radial Ball Bearing Vibrations

Abstract

This paper presents the development of a methodology for calculating radial ball bearing vibrations. First, analytical and numerical models were developed and then, the obtained results were experimentally verified. In the experiment, a test rig for a dynamic testing of bearings subjected to an external load was used. Special attention was paid to the analysis of the total bearing deformations and stiffness, being the main parameters that define the dynamic behaviour of a bearing. In order to determine total deformations of a ball bearing as an assembly, a finite element model of the bearing was developed. The results obtained from the new methodology for a particular ball bearing type have been verified by experimental results. The obtained correlations of the experimental and the numerical results are about 2.5%. Based on the calculations and the experimental testing of the chosen ball bearing type, under conditions of a variable radial load, the analysis of the influence of the radial load on the dynamic behaviour of a ball bearing was performed. The analysis of the obtained results showed that the vibration amplitude increases with a similar multiple factor as loads increase.

Mathematical Modelling of a Coefficient of Nonlinearity in Dynamics of Deep Groove Ball Bearing with Damage

“…𝑚 𝑟𝑒𝑑 𝑦̈+ 𝐶 𝑟 𝑦̇+ 𝐾 𝑟 𝑦 + 𝑞𝑦 3 = 𝐹 The nonlinear part of this equation, represented by the coefficient of nonlinearity q, depicts how existing damage influences the rolling bearing vibrations. For a particular radial rolling bearing type, an expression for the coefficient q is obtained by an iterative procedure based on the experimental measurements of the bearing vibration response [3], and defined to be dimensionally consistent with the presented equation of motion. The coefficient of nonlinearity depends on the damage dimension, local contact deformation and external load distribution among rolling elements.…”

“…The main postulates of the theory of nonlinear dynamics [1,2] are used in the presented research in order to develop the mathematical model for efficient prediction of behaviour of deep groove ball bearings with defects. The particular type of single-row deep groove ball bearing 6206 is chosen, and large set of experimental testing of samples with pre-manufactured damages on the inner and outer raceway is performed [3].…”

Gyroscopic effect on a scaled rotor-bearing system

“…The stiffness of a ball bearing on each scale is determined to investigate the effect of bearing stiffness on the scaling method. Research conducting the calculation of ball-bearing stiffness can be found in the work of Guo and Parker (2012), Fang et al (2019), Karlberg (2010), Izvorni (2020), and Metsebo et al (2016). The bore dimensions of the ball bearing are 10 mm, 20 mm, and 30 mm.…”