Abstract
Continuous micro-line segments having micron magnitude are also used to approach complicated trajectories in computer numerical control (CNC) machining. Traditional linear interpolation processes micro-line segments separately. The rather small lengths of the segments result in low machining efficiency, and the frequent acceleration and deceleration also reduce the lifetime of the motor. To solve the problems, in this paper, we present an interpolation algorithm that is based on the look-ahead function. The look-ahead-based feedrate planning is elaborated from the aspects of trajectory feedrate description, feedrate preplanning, and feedrate planning. With the function of feedrate planning, CNC systems can predict the variation of the curvature of the coming trajectory so that adaptively determining whether accelerates interpolation feedrate to enhance machining efficiency or decelerates the feedrate to guarantee the machining precision. In addition, the trajectory interpolation for micro-line segment trajectories is analyzed as well, which realizes the generalization of the coordinates for each interpolation step. The implementation of the proposed algorithm in our CNC system is also studied. Finally, two machining experiments are provided to verify the accuracy and efficiency of the proposed interpolation algorithm.
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References
Todd J, Schuett (1996) A closer look at look-ahead, speed and accuracy benefits. Creative Technology Corp
Han G-C, Kim D-II, Kim H-G, Nam K, Choi B-K, Kim S-k (1999) High speed machining algorithm for CNC machine tools. IECON Proc (Industrial Electronics Conference) 3:1493–1497
Hu J, Xiao L, Wang Y, Wu Z (2006) An optimal feedrate model and solution algorithm for a high-speed machine of small line blocks with look-ahead. Int J Adv Manuf Technol 28(9):930–935
Ye P, Zhao S (2004) Study on control algorithm for micro-line continuous interpolation. China Mechanical Engineering 15(15):1354–1356
Shi C, Ye P, Lv Q (2006) Study on control algorithm for continuous segments trajectory interpolation. In: Proceeding of the 1st international symposium on digital manufacture, pp 994–998, 6 Oct 2006
Cao W, Chang Q (2005) A kind of arithmetic having the function of look ahead in smoothly controlling. Modular Machine Tool & Automatic Manufacturing Technique 9:56–59
Xu Z, Feng Z, Wang Y, Zheng Z (2003) High-speed adaptive look-ahead interpolation algorithm for continuous micro path sections. Manufacturing Technology & Machine Tool 12:20–23
Xu H, Wang Y, Li Y, Hu J (2005) Research on feedrate model of look-ahead and solution algorithm for highspeed machining of small line segments. Mech Eng 4:9–13
Intelligent High Speed CNC Drill with Versatility (2004) FANUC Robodrill. FANUC LTD
High Speed Cutting (2003) SIEMENS. www.siemens.com/automation/partners
Yong T, Narayanaswami R (2003) A parametric interpolator with confined chord errors, acceleration and deceleration for NC machining. Comput Aided Des 35:1249–1259
Jeong SY, Choi YJ, Park P (2006) Parametric interpolation using sampled data. Comput Aided Des 38:39–47
Ye P, Shi C, Yang K, Lv Q (2008) Interpolation of continuous micro line segment trajectories based on look-ahead algorithm in high-speed machining. Int J Adv Manuf Technol 37:881–897
Shi C (2007) Study on the look-ahead function based motion control algorithm for continuous micro line trajectories. Master’s thesis, Department of Precision Instrument and Mechanology, Tsinghua University
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Shi, C., Ye, P. The look-ahead function-based interpolation algorithm for continuous micro-line trajectories. Int J Adv Manuf Technol 54, 649–668 (2011). https://doi.org/10.1007/s00170-010-2975-x
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DOI: https://doi.org/10.1007/s00170-010-2975-x