Implicit feedrate planning method for high-efficient parametric CNC interpolation with multi-constraints
Year: 2025
Type: article
Abstract: Spline-based parametric interpolation has been widely applied in CNC systems. However, conventional feedrate planning which focuses on scheduling the tool tip feedrate profile, presents several challenges. These include difficulties in managing 5-axis trajectories with fixed tool tips due to zero feedrate, and a complex interpolation process that requires calculating the arc-length increment d s and parameter increment d u , which may lead to feedrate fluctuations. To overcome these challenges, this paper proposes a novel implicit feedrate planning method that directly establishes the relationship between the trajectory parameter u and machining time t , with the feedrate implicitly represented in the u − t profile. This allows the CNC to compute the parameter increment d u based on a time step d t , without the calculation of arc-length and significantly simplifying the interpolation process, thus enhancing efficiency. Moreover, a new characteristic of B-spline, the Local Modification Scheme of the First Derivative, is introduced, which enables iterative adjustments to the u − t curve to achieve near time-optimal feedrate while adhering to multiple constraints. Simulation and experimental results demonstrate that the proposed method achieves a superior balance between computational efficiency and machining time compared to other iterative-based or dynamic look-ahead feedrate planning methods. Moreover, it improves interpolation efficiency by approximately 45 % compared to explicit feedrate planning methods.
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,520
OpenAlex ID: W4408097636