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The accuracy design is an effective approach in accuracy improvement for 6-dof docking mechanism, which involves accuracy analysis and synthesis. To improve the efficiency for accuracy analysis, the number-theoretic method (NTM)-based simulation with Sobol point set is investigated. Compared with traditional Monte Carlo (MC) simulation, Sobol set-based NTM can attain the same precision with only 1/10 sampling size of MC simulation. The accuracy synthesis process considers process ability and adopts orthogonal and uniform design of experiments with Sobol set-based NTM for simulation for efficiency to generate multiple solutions adapted to fluctuation of manufacturing environment, In contrast with another synthesis approach, the costs of some solutions are lowered, and the structure tolerances can be relaxed to 18.66% and 19.28% without accuracy loss.

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