An approach for predicting the internal behaviour of ball bearings under high moment load

Abstract

This paper presents a modelling approach for predicting the internal dynamic behaviour of ball bearings under high moment loads. This type of loading is a specific feature of helicopter main gear boxes because of special design rules and the high structural flexibility of such systems. The ball bearing model proposed here is not limited to planar systems and incorporates several different phenomena such as contact deformation, elastohydrodynamic contact, internal clearance and cage run-out. The cage-race interaction is treated as a hybrid short journal model, which ensures continuity of the contact force at the transition from the hydrodynamic to metal-to-metal regime. In the dynamic analysis of such a severely loaded bearing, the dependence of the shaft-to-inner-ring force on inner race position cannot be neglected. An equivalent viscoelastic hinge joint has been developed, it produces an additional force that represents the overall rigidity of the system. The stiffness parameters of the joint are identified using global finite element simulations. A ball bearing loaded with two different moments is chosen as an example. Relevant results concerning the internal dynamic behaviour are given. The predicted cage trajectory has been compared to experimental observations, and good agreement has been found.

Experimental investigation of cage motions in an angular contact ball bearing

“…Ye and Wang 6 proposed a dynamic model of high-speed ball bearing and focused on the effect of external loads on the trajectories of the mass center of cage. Bovet and Zamponi 7 predicted the internal behavior of ball bearings and found an obvious dysfunction for ball bearings owing to high external moment loads. Leblanc et al 8 developed a two-dimensional dynamic model of cylindrical roller bearing based on flexible assumption of inner and outer ring, which lead to a smoother global response of the rotor-bearing assembly with less cage instabilities.…”

Detection of Vibrations Defects in Gas Transportation Plant Based on Input / Output Data Analysis: Gas Turbine Investigations

“…Gas turbines are complex rotating machines, composed of various fixed and moving elements [10][11]. For disc modeling, it is essential to represent the ax-symmetric rigid elements whose characteristics are given by their masses m , their polar inertia P I around the rotation axis y and their diametric inertia d I of the right section.…”

Effects of Cage Pocket Shapes on Dynamics of Angular Contact Ball Bearings

“…Gupta [3][4][5] developed a complete dynamics model of rolling bearings for all components with 6 degrees of freedom based on Walters's model, which can simulate the transient motion characteristics of bearing components under time-varying conditions, but due to the complexity of the model, the program calculation takes a long time and is easy to diverge. Since then, Meeks [6,7], Nogi [8], Niu [9], Liu [10], Farshid [11,12] and many other scholars [13][14][15] established dynamics models of rolling bearing for their respective working conditions, which provides many useful explorations for the study of cage stability.…”

“…It can be seen that many scholars have researched a lot of the factors affecting the stability of the cage, mainly focusing on friction [6,8,16] load [8,15], speed [10,17,18] and clearance ratio [6,10,19,20] (the ratio of pocket clearance to cage/race clearance), but the study of the structure of the cage itself is slightly insufficient. Gupta [19] and Liu [10] studied the effect of the clearance ratio on the stability of the cylindrical pocket cage.…”