Time-Bound Optimal Planning in CNC Machine Considering Machining Safety

In this paper, we propose a time-bound optimal planning model to reconcile the dilemma between the cutting efficiency and the cutting security. Unlike the traditional planning method, we consider the bound of the kinematic constraints to be flexible in the form of a fuzzy set. It is reasonable to use such an expression considering that the safety of the computer numerical control (CNC) machine is susceptible to the potential disturbance in the cutting process. A fuzzy optimization method is used to obtain a compromise bound aiming to balance the cutting efficiency and the cutting security. The original problem can be reduced into a convex problem in some weak conditions, for which some interesting results are proved and the numerical method is also used to solve it. The proposed algorithm is experimented on our self-designed CNC machine. We verify the effectiveness of our proposed method through air-cutting and milling process with two respect experiment, and verify the efficiency of our algorithm by comparing traditional open-loop strategies.

Automated summary

This paper proposes a time-bound optimal planning model to balance the cutting efficiency and the cutting security. By considering the kinematic constraints as a fuzzy set and using fuzzy optimization method, a compromise bound is obtained. The original problem is simplified into a convex problem and solved numerically.