New numerical method for investigating the displacement and stress fields inside contact bodies of a wire race ball bearing

This paper develops a new numerical integral method in MATLAB^® based on the non-conformal contact theory, the superposition principle and Licht´s work, for obtaining the displacement and stress of arbitrary points inside contact bodies of a wire race ball bearing used in a missile simulating rotary table. The integral model is assigned to the elliptical integral domain which is greatly different from the circular integral domain. The displacement field and the stress field at an arbitrary point inside the wire race were numerically evaluated. The results show that the computational costs increase with the integral points approaching the contact center; the stress fields meet well with the Saint-Venant´s principle and the practice; our numerical method is feasible. The present work provides support for understanding the mechanism on fatigue, wear and pitting corrosion of the wire race ball bearing with large diameter.