The model developed to predict the performance of double-row tapered roller bearings (DRTRB) and described in the first part of the paper is now exemplified. For a given example results on the internal load distribution, bearing fatigue life and heat generation are presented and discussed for various operating conditions including the mounting preload. It is revealed that some sliding occurs at the contact between the rollers and the cone that contributes significantly to the total power dissipated within the bearing. It is also shown that an optimum axial compression (or mounting preload) may be found in terms of fatigue life and heat dissipated. As the main conclusion the initial compression between bearing rows was found to play a major role upon the bearing behavior and therefore should be considered carefully for each application.
Cet article traite du roulement a rouleaux cylindriques, type NUP, avec collets coniques et extremites spheriques des rouleaux. Le modele mathematique presente est base sur le calcul vectoriel applique a une situation d'equilibre quasi-dynamique. Le roulement est charge suivant trois degres de liberte et les rouleaux se deplacent selon un mouvement plan-parallele. On prend en consideration l'effet de la vitesse elevee sur les rouleaux charges. Le frottement interieur est neglige, et les deformations du contact sont considerees dans le domaine elastique. Les interactions elastiques entre les rouleaux cylindriques et les chemins de roulement sont mises en evidence au niveau des contacts. Par l'introduction du modele sur l'ordinateur,la distribution des charges interieures est calculee pour differentes charges exterieures, vitesses de travail et jeux internes.
In the first part of this work (I. Bercea, S. Creţu and N. Mitu, Wear , 188 (1995) 1–10) the dynamic equations of motion of both cage and rollers were derived by using vector matrix algebra for a tapered roller bearing with a model with six degrees of freedom. To solve the differential equations a numerical iterative procedure was also developed. This dynamic model is used in this paper to analyze the kinematic and friction behaviour of an axial loaded tapered bearing. The internal load distribution, bearing friction torque, cage slip, sliding speeds and lubricant friction coefficients are calculated for various working conditions. A good fit was found between computed values and the experimental data presented in the literature. Using the film thickness as an optimisation criterion, deductions of optimal values of ratio R s / R rib were done.
A vector method is used to solve the quasi-dynamic equilibrium in a tapered roller bearing. Besides the complex external loads the quasi-dynamic analysis includes both centrifugal forces and roller gyroscopic moment. The primary solutions obtained in this way are used in succession to carry out a complete dynamic analysis based on the integration process of the differential equations written for both rollers and cage. The numerical equalities proposed by Houpert ( Trans. ASME J. TriboL, 106 (1984) 375–385) are used to establish the lubrication regimes for both the roller-raceway contact and the rib-roller end contact. The sliding traction forces developed in the concentrated contacts are determined by assuming a nonlinear, viscoelastic lubricant. The shear stresses for both the unidirectional flow (line contact) and for the bidirectional flow (rib-roller end contact) are computed. The roughness effect of the contact surfaces, as well as the thermal EHD effects, are included. The results obtained in the dynamic analysis are presented in Part 2 of the paper and are compared with published data for analogous working conditions.