1. Beijing Key Laboratory of Precision/Ultra-Precision Manufacturing Equipments and Control, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China 2. Gansu Engineering Research Center for CNC Machine Tool, Tianshui 741024, China
Feed-rate planning models must be accurate to improve contouring performance and efficiency. Quadrant protrusion errors caused by friction forces are an important source of contour error in high-speed contouring of complex curves. A theoretical analysis is given here to describe the relationships among the curvature, feed rate and quadrant protrusion error. Then, experiments with a wide range of parameters are used to develop a friction error model for feed-rate planning with the friction error as a constraint. Tests show that the model can accurately estimate the friction error and guarantee the contour accuracy requirements.
SHI Chuan, YE Peiqing. The look-ahead function-based interpolation algorithm for continuous micro-line trajectories[J]. International Journal of Advanced Manufacturing Technology, 2011, 54(5-8): 649-668.
[2]
ZHANG Lixian, SUN Ruiyong, GAO Xiaoshan, et al.High speed interpolation for micro-line trajectory and adaptive real-time look-ahead scheme in CNC machining[J]. Science China: Technological Sciences, 2011, 54(6): 1481-1495.
[3]
Sencer B, Altintas Y, Croft E. Feed optimization for five-axis CNC machine tools with drive constraints[J]. International Journal of Machine Tools & Manufacture, 2008, 48(7/8): 733-745.
[4]
FAN Wei, GAO Xiaoshan, YAN Wei, et al.Interpolation of parametric CNC machining path under confined jounce[J]. International Journal of Advanced Manufacturing Technology, 2012, 62(5-8): 719-739.
[5]
ZHANG Qiang, LI Shurong, GUO Jianxin. Smooth time-optimal tool trajectory generation for CNC manufacturing systems[J]. Journal of Manufacturing Systems, 2012, 31(3): 280-287.
[6]
Renton D, Elbestawi M A. High speed servo control of multi-axis machine tools[J]. International Journal of Machine Tools & Manufacture, 2000, 40(4): 539-559.
[7]
Dong J, Stori J A. Optimal feed-rate scheduling for high-speed contouring[J]. Journal of Manufacturing Science and Engineering: Transactions of the ASME, 2007, 129(1): 63-76.
[8]
ZHANG Ke, YUAN Chunming, GAO Xiaoshan. Efficient algorithm for time-optimal feedrate planning and smoothing with confined chord error and acceleration[J]. International Journal of Advanced Manufacturing Technology, 2013, 66(9-12): 1685-1697.
[9]
Guesalaga A. Modelling end-of-roll dynamics in positioning servos[J]. Control Engineering Practice, 2004, 12(2): 217-224.
[10]
Karnopp D. Computer-simulation of stick-slip friction in mechanical dynamic-systems[J]. Journal of Dynamic Systems Measurement and Control: Transactions of the ASME, 1985, 107(1): 100-103.
[11]
Polycarpou A A, Soom A. A two-component mixed friction model for a lubricated line contact[J]. Journal of Tribology: Transactions of the ASME, 1996, 118(1): 183-189.
[12]
Armstrong B, Dupont P, Dewit C C. A survey of models, analysis tools and compensation methods for the control of machines with friction[J]. Automatica, 1994, 30(7): 1083-1138.
[13]
Menon K, Krishnamurthy K. Control of low velocity friction and gear backlash in a machine tool feed drive system[J]. Mechatronics, 1999, 9(1): 33-52.
[14]
MEI Xuesong, Tsutsumi M, TAO Tao, et al.Study on the compensation of error by stick-slip for high-precision table[J]. Journal of Machine Tools & Manufacture, 2004, 44(5): 503-510.
[15]
MEI Xuesong, Tsutsumi M, Yamazaki T, et al.Study of the friction error for a high-speed high precision table[J]. International Journal of Machine Tools & Manufacture, 2001, 41(10): 1405-1415.