Optimization Design Method of High-Speed Angular Contact Ball Bearings

Abstract

With the rapid development of high-speed rotating equipment technology, angular contact ball bearings (ACBBs) have been increasingly widely applied in industry. However, there is still a lack of systematic design theory support for their service performance under high-speed operating conditions. In existing engineering practices, the design of ACBBs often focuses only on a single performance index, such as rated dynamic load, spin-roll ratio, or static stiffness, with little consideration of the dynamic behavior changes caused by the ball ‘outward-thrown’ under high-speed operation. To fill the above research gaps, this paper innovatively introduces dynamic stiffness as a key design index and proposes a comprehensive design method integrating spin-roll ratio and rated dynamic load. By establishing the kinematic model of balls in the raceway, the analytical relationship of the spin-roll ratio under high-speed steady-state conditions is derived; the applicability of different dynamic load rating calculation models is systematically compared, and a mathematical model of dynamic stiffness is constructed along with a numerical solution strategy. On this basis, the intrinsic laws governing the evolution of rated dynamic load, spin-roll ratio, and dynamic (static) stiffness with key design parameters are revealed. This study clarifies the coupling mechanism of key design parameters under high-speed conditions and establishes a parameter design strategy based on collaborative optimization. It provides a theoretical basis and methodological support for solving problems in engineering applications of high-speed ACBBs, such as inaccurate parameter selection and difficulty in ensuring dynamic performance. The research results help to further improve the design system of high-speed ACBBs and have important guiding significance for enhancing the design quality and service reliability of bearing products.