A novel scheme for flexible NURBS-based C-2 PH Spline Curve contour following task using Neural Network

作者：Karimi Mahdi^*; Jahanpour Javad; Ilbeigi Shahab

来源：International Journal of Precision Engineering and Manufacturing, 2014, 15(12): 2659-2672.

DOI：10.1007/s12541-014-0640-2

• PH curves
• NURBS curves
• Flexible connection nodes
• Velocity/Acceleration vector coefficients
• Genetic algorithm
• Neural network

In this paper, a novel scheme for approximation of complicated CNC tool paths, designed by non-uniform rational B-spline (NURBS) curves, is proposed. The idea of this approximation is based on introducing flexible NURBS-based C-2 PH Spline Curves. Using the specifications of nodal points on a NURBS curve and introducing the coefficients for the velocity and acceleration vectors on these points, as well as defining flexible connection nodes, a new method is presented to design a tool path via C-2 PH spline curves. Values of the velocity/acceleration vector coefficients corresponding to the flexible connection nodes on the original NURBS curve are computed by genetic algorithm and Neural Network. To this end, the normal distance between the tool path and its corresponding original NURBS curve is considered as the objective function. Using combination of the time-dependent feedrate and constant feedrate interpolations, the position commands of the designed curve are generated. Several contour following tasks were implemented with pseudo-derivative feedback feed forward (PDFF) controller. Experimental and simulation results confirm that the devised interpolator is not only feasible for machining the complicated tool path represented in the improved NURBS-based C-2 PH spline form but also yields satisfactory contouring performance under variable feedrate.

• 出版日期2014-12