A Method to Solve the Stiffness of Double‐Row Tapered Roller Bearing

Abstract

By analyzing the roller force, the nonlinear stiffness model of the double-row tapered roller hub bearing is derived, and the method of solving the hub bearing stiffness matrix is summarized: if the displacement between the inner and outer rings is known, the stiffness of the hub bearing can be directly calculated. If only the external load of the hub bearing is known, the displacement of the hub bearing needs to be solved by numerical method, and then the stiffness of the hub bearing can be calculated. The improved Newton-Raphson method is used to solve the stiffness matrix of the hub bearing. Three-dimensional FE model of DRTRBs is presented and validated the proposed the stiffness matrix of the hub bearing. It is found that the radial stiffness of the hub bearing is greater than the axial stiffness. The stiffness of the hub bearing is greatly affected by the vertical force of the ground and the wheel driving torque, showing obvious nonlinearity. The smaller the vertical ground load and wheel driving torque, the greater the influence of vertical ground load and wheel driving torque on the hub bearing stiffness.

Impacts of wind field characteristics and non-steady deterministic wind events on time-varying main-bearing loads

“…In the current work, sensible stiffness values were not known, making further simplification necessary. From the rolling bearing literature (Tong and Hong, 2014;Zhang et al, 2019), values of K r L 2 b will generally be a factor of 10 3 larger than K θ if L b is of the order of 1 m. Therefore, in general, K θ /K r L 2 b 1. It follows that without further information the approximation…”

“…However, for the study described herein, the bearing rows are spaced a reasonable distance apart. As such, load response at each row is expected to be dominated by forces, with contributions from moments acting across individual bearing rows likely small in comparison (Tong and Hong, 2014;Zhang et al, 2019). In the current study, load response is therefore approximated as consisting of only 3-degree-of-freedom forces, F 1 and F 2 , at individual bearing rows.…”

Impacts of wind field characteristics and non-steady deterministic wind events on time varying main-bearing loads

“…However for the study described herein, the bearing rows are spaced a reasonable distance apart. As such, load response at each row is expected to be dominated by forces, with contributions from moments acting across individual bearing rows likely small in comparison (Tong and Hong, 2014;Zhang et al, 2019). In the current study, load response is therefore approximated as consisting of only three degree-of-freedom forces, F 1 and F 2 , at individual bearing rows.…”

“…In the current work sensible stiffness values were not known, making further simplification necessary. From the rolling bearing literature (Tong and Hong, 2014;Zhang et al, 2019), values of K r L 2 b will generally be a factor of 10 3 larger than K θ if L b is of order 1m. Therefore, in general, K θ /K r L 2 b ≪ 1.…”

Study on contact load and preload characteristics of cylindrical roller bearings with triple-lobe raceway

“…Substituting equation ( 5) through equation ( 10) into equation ( 4) and equation ( 11), it forms an equation matrix [24] with d o j , u o j , d r , u totaling (2Z+2) unknowns, and the matrix is defined as [F (x (t) )]. The matrix [F (x (t) )] is expressed as…”