Study on the influence of contact behavior on nonlinear stiffness characteristics of elastic rings

Abstract

The contact behavior between the boss of the elastic ring and the bearing outer ring, as well as the bearing housing, results in significant nonlinear characteristics in its stiffness. By analyzing the existing mathematical model for calculating elastic ring stiffness and considering engineering practice, a finite element model was established to incorporate the contact behavior of the elastic ring boss. This study deeply investigates the nonlinear stiffness characteristics of the elastic ring. The findings indicate that under ideal conditions, when there is full contact between the elastic ring boss and both inner and outer rings, no obvious nonlinear characteristics are observed in its stiffness. However, when ellipticity occurs in the elastic ring or if there is insufficient boss contact, an increase in load leads to evident nonlinear changes in its stiffness. Furthermore, it is noted that these nonlinear characteristics vary at different circumferential positions within the elastic ring. To further investigate these stiffness characteristics and validate numerical results accurately, an experimental test rig specifically designed for measuring elastic ring stiffness was constructed. This study reveals how contact behavior between the elastic ring boss and both bearing components influences its overall stiffness while elucidating its inherent nonlinear properties. These findings provide valuable insights for designing and utilizing elastic rings.