Dynamic modelling for vibration analysis of a cylindrical roller bearing due to localized defects on raceways

Abstract

The current study presents a multi-body dynamic model for investigating the vibration responses of a cylindrical roller bearing with localized surface defects such as dents on raceways. This model is developed with the assumptions that outer raceway is fixed in space and other elements have three degrees of freedom (DOF): two translations and one rotation. Centrifugal forces, gravity forces and slipping of the rollers are taken into account. The couplings of the Hertzian line contact deformation theory and the slice method are used to calculate all the contact forces. Local deflections due to defects are introduced into the constructed model by the time-varying deflection excitation. The equations of motion are established by the Newton-Euler method and solved by the fourth-order Runge-Kutta integration method with variable steps. Both time and frequency domains are used to analyse dynamic responses of the defective bearing. Some new components of the characteristic defect frequency can be seen from the results. The effects of time-varying surface models, different defect types and defect sizes on dynamic responses of the defective bearing are studied. An experiment is carried out to validate the proposed model. Comparison of the frequency spectrum in simulation results with that in the experiment shows reasonable qualitative agreement.

Dynamic Modeling and Analysis of Rolling Bearing with Compound Fault on Raceway and Rolling Element

“…Shaharohit and Kulkarni [5] established the finite element model with local defects of bearing on inner race and explored the bearing vibration characteristics under different working conditions. Considering the time-varying deflection excitation, the contact force between the rollers and the inner or outer raceway, and the influence of inertia force, sliding, and other factors, Wang et al [6] established a multibody dynamic model of cylindrical bearing to explore the vibration response of a localized defect. Taking the centrifugal force, gyroscopic moment, kinetic characteristic of cage, and other factors into account, Niu et al [7,8] established a 6-DOF dynamic model of defect bearing to describe the vibration characteristics of the system under high speed.…”

Impulse Response of the Elasto-Hydrodynamic Lubrication Film of a Rolling Bearing to Dynamic Excitation of a Flat Belt Drive

“…The selected dynamic models in Figure 1 are the starting points for the mathematical derivation of the behaviour and response of a dynamic rolling bearing system. The developing dynamic models of rolling bearings have specific prerequisites for the prediction and simulation of the dynamic response [ 5 , 6 , 7 , 8 ] and are designed mainly for low speeds; consequently, their accuracy decreases under high-speed conditions. A few dynamic models are suitable for high velocities and consider the effect of centrifugal force, gyroscopic moment, and time-varying contact angles [ 9 , 10 ].…”

Modeling and Dynamic Analysis of Spherical Roller Bearing with Localized Defects: Analytical Formulation to Calculate Defect Depth and Stiffness

“…They compared the effects of defect type and size with various radial loads in dynamic behavior of the bearing. Wang et al [6] used a multibody dynamic approach for simulation of cylindrical roller bearing with local faults. Contact forces are calculated by combining Hertzian contact theory and the slice method.…”