Feedrate Profile Shaping-Based Five-Axis CNC Feedrate Planning Method Under Machine Axis Constraints

Feedrate planning is a critical process in computer numerical control (CNC) machining, playing a key role in ensuring machining quality and improving efficiency. This paper proposes a feedrate planning method based on feedrate profile shaping to satisfy machine axis constraints, including axis velocity, acceleration, and jerk limits. First, the five-axis machining path is represented using parametric curves. By combining the geometric characteristics of the path with machine axis velocity constraints, the upper bound of the feedrate under static constraints is derived. On this basis, machine axis acceleration and jerk constraints are further incorporated to establish feedrate planning criteria, thereby obtaining a distribution of feasible points that satisfies dynamic constraints. Then, a feedrate curve is generated using a profile shaping strategy based on the feasible point distribution, and further optimized through a corner shaping method. As a result, the planned feedrate strictly satisfies machine axis constraints along the entire tool path while ensuring continuity and smoothness of the feedrate profile. Finally, the effectiveness and reliability of the proposed method are validated through simulations of the parametric curve and experimental machining of an impeller blade.