Rolling bearings connect static with rotating part of the machine, so their dynamic properties significantly impact the dynamics of the entire machine. Therefore, in the simulation of the dynamics of the rotating machinery, the reliability of the numerical model of the bearing is of great importance. Due to its geometric complexity, the bearing is usually modeled as an elastic connection between rotating and stationary part, numerically described by stiffness matrix. Because of their frequent use, the thesis was focused on the ball bearings. For that reason, the Lim and Singh model was adopted and fully presented in the thesis. Firstly, kinematics of the selected model and the contact conditions within the bearing by applying Hertzain contact theory were examined. Using the minimum total potential energy principle, linear and angular displacements of the bearing were determined at given loads. Via relations between forces and moments and linear and angular displacements, the coefficients of the stiffness matrix were obtained. The computer application for calculating stiffness matrix was also made. In the end the relevance of the developed model was verified through comparison with other existing applications for bearing stiffness calculation.
|
