A new sampling strategy for Kriging-based response surface method and its application in structural reliability

A new sampling strategy is proposed to improve the robustness and efficiency of the Kriging-based response surface method. In the initial stage, the number-theoretic method is utilized to generate deterministic initial design samples, which are further optimized by an interpolation method. In the sequential iterative process, a new sampling criterion called reliability infill sampling criterion is proposed. Besides, a more reasonable two-process strategy is suggested where the iterative process is divided into two sub-processes using different sampling criteria. The proposed method ensures that the approximation can be accurately and efficiently fitted near the limit state. The numerical examples and the applications in structural reliability indicate the improved accuracy and efficiency of the proposed method.

A new accuracy design for a 6-dof docking mechanism

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.