Analysis of the Influencing Factors of Grinding Uniformity under Three-Body Coupling Grinding Mode

The three-body coupling grinding mode (3B-CGM) of spheres not only guarantees lot diameter variation and batch consistency of precision ball processing on the balling principle but also makes structural control easy and feasible. To assure balling quality under the three-body coupling grinding mode, it must improve dynamic mechanical precision control ability during processing. This study detailed contents covered the following three aspects: (1) The velocity equilibrium equation under the three-body coupling grinding mode was established under ideal conditions. This velocity equilibrium equation was transformed into the velocity equilibrium equation in the form of θ, Ωb, and ωb, thus laying the foundations to analyze the influencing degree of grinding uniformity; (2) On the basis of the velocity equilibrium equation, the characteristics of various sliding states were analyzed. Moreover, the sliding–friction ratio (Sc) was established to analyze the variation laws of the sliding state. The acquired mathematical model of evaluation indexes could realize optimization of the system control precision; (3) A multibody dynamics analysis software, i.e., ADMAS, was applied, and the standard deviation of uniformity of spherical track points in the simulation was created to evaluate influences of subsequent mechanical structural errors, including excessive loads, run-out, the tilt and out-of-roundness of upper and lower grinding discs, the diameter of grinding discs, and the V-shaped groove angle of grinding discs. This study establishes an accurate motion control model, as well as the optimal parameter analysis method. It improved the fine control over motion states. These models and indexes lay theoretical foundations for the realization of approximately ideal grinding effect in practical mass production.