Development of Ball Bearing Dynamic Analysis Methods Including Life Prediction Methods for Ceramic or Metal Bearings.
Abstract
An analytical ball bearing dynamics model was developed that rigorously models all of the significant kinematics, structural and dynamic effects. The model can analyze bearings of any material combination for the races, ball and ball cage. This model analyzes the stresses and deflections of the loaded elements due to (1) preload, (2) external axial, radial and moment loads, (3) centrifugal and gyroscopic ball loads. A rigorous six-degree-of-freedom model of ball cage motions was developed to analyze ball and cage dynamics. The ball cage equations of motion were written in a rotating coordinate system, which greatly simplifies the equations, resulting in a highly efficient, but rigorous, model of bearing dynamics. A computer program was developed, incorporating the above model and algorithms to solve the multiple simultaneous quasi-static ball-to-race load equations using modified Newton-Raphson methods. The Lawrence Livermore Ode numerical integration package (LSoDA) is also employed for integration of the dynamic equations of motion. This method assures convergence, while controlling the accuracy of the calculations as a function of computer run time and automatically selects the appropriate integration method of stiff and non-stiff of collision contact conditions. The program analyzes ball and cage motions in time domains and predicts wear life, fatigue life, lubricant film effects, ball-to-cage forces, torque noise and many other bearing parameters.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1994
- Accession Number
- ADA310163
Entities
People
- Brian Murphy
- Crawford Meeks
- Long Tran