Abstract: The dynamics balance equation of spherical ball bearing under combined loads and high-speed revolution condition is established, during using the outer ring raceway control theory, considering the influence of ball^s gyroscopic couple and centrifugal force, and analyzing several factors, such as overall force balance of spherical ball bearing, relationship of geometric structure, curvature of contact point, change of contact angle, relationship of elastic deformation, rotation and revolution of ball, force balance of ball, etc. After analyzing the solution method of the dynamics balance equation, obtaining the change rules of the unknown variables’ feasible regions, and setting up the optimization objective equations, solving method and procedure of optimization equation basing on the complex-constrain genetic algorithm is presented. As an example of spherical bearing BRF30, its dynamics balance equation is established and solved, the change laws of several important bearing statuses are obtained, such as relative displacement between inner ring and outer ring, stiffness of bearing, contact angle, distribution of contact angle, distribution of loads, ratio of revolution, etc. The research provides theoretical basis for designing and analyzing of the bearing, such as standardization of its structural size parameters and characteristic parameters, calculations of equivalent loads and work life, optimal design, etc.

Key words: combined loads, complex method, genetic algorithm, high-speed revolution, spherical bearing