Czasopismo
2007
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Vol. 23, nr 1
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71-74
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
Purpose: One of the most important factors which influence on the dynamical behavior of the feed drives for CNC machine tools is position loop gain or Kv factor. Design/methodology/approach: From the magnitude of the Kv-factor depends tracking or following error. In multi-axis contouring the following errors along the different axes may cause form deviations of the machined contours. Generally position loop gain Kv should be high for faster system response and higher accuracy, but the maximum gains allowable are limited due to undesirable oscillatory responses at high gains and low damping factor. Usually Kv factor is experimentally tuned on the already assembled machine tool. Findings: This paper presents a simple method for analytically calculation of the position loop gain Kv. A combined digital-analog model of the 6-th order of the position loop is presented. In order to ease the calculation, the 6-th order system is simplified with a second order model. With this approach it is very easy to calculate the Kv factor for necessary position loop damping. The difference of the replacement of the 6-th order system with second order system is presented with the simulation program MATLAB. Analytically calculated Kv factor is function of the nominal angular frequency omega e and damping De of the feed drive electrical parts (motor and regulator), nominal angular frequency omega m and damping Dm of the mechanical transmission elements, as well as sampling period T. Research limitations/implications: The influence of nonlinearities was taken with the correction factor. Originality/value: Our investigations have proven that experimentally tuned Kv factor differs from analytically calculated Kv factor only 10%, which is completely acceptable.
Rocznik
Tom
Strony
71-74
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
autor
autor
- Faculty of Mechanical Engineering, University "Sv. Kiril i Metodij" - Skopje, Karpos II b.b., P.O. Box 464, MK-1000, Skopje, Republic of Macedonia, panzo@mf.edu.mk
Bibliografia
- [1] H. Gao, Increase of dynamic contour accuracy by application of contour error oriented optimization exemplified by a Linear Motor Feed Drive, Dissertation, TU Darmstadt, Germany, 1999 (in German).
- [2] T.B. Bullock, G.W. Younkin, Bode diagrams analyze servosystems, Machine Design 9 (1995) 49-54.
- [3] S. Gordon, M.T. Hillery, Development of a high-speed CNC cutting machine using linear motors, Journal of Materials Processing Technology 166 (2005) 321-329.
- [4] H. Gross, J. Hamann, G. Wiegaertner, Electrical Feed Drives in Automation: Basic, Computation, Dimensioning. MCD Corporate Publishing, Erlangen and Munich, 2001.
- [5] L. Harder, J.A. Isakssson, Robust PI-control of cutting forces in turning, Proceedings of 31 MATADOR Conference, Manchester, U.K., 1995, 261-266.
- [6] W.T. Lei, Y.Y. Hsu, Error measurement of five-axis CNC machines with 3D probe-ball, Journal of Material Processing Technology 139 (2003) 127-133.
- [7] X. Luo, K. Cheng, D. Webb, F. Wardle, Design of ultraprecision machine tools with applications to manufacture of miniature and micro components, Journal o: Materials Processing Technology 167 (2005) 515-528.
- [8] Z. Pandilov, V. Dukovski, Optimization of the numerically controlled milling machine contouring accuracy with the CONTISURE system, Proceedings of the 9th International Conference on flexible technologies-MMA'2006, Novi Sad, Serbia and Montenegro, 2006, Section B: Machine tools, 47-48.
- [9] Z. Pandilov, V. Dukovski, Stiffness of the position servo systems, Proceedings of International scientific Conference on Production Engineering, June 28th -July 2nd, 2006 Lumbarda, Korcula, Croatia, 179-185.
- [10] D.A. Smith, Wide bandwidth control of high-speed milling machine feed drives, Dissertation, University of Florida USA, 1999.
- [11] P. Soucek, Servo mechanisms for machine tools, CVUT, Prague, 2004 (in Czech).
- [12] G.W. Younkin, Industrial Servo Control Systems: Fundamentals and Applications, Marcel Dekker Inc., 1996.
- [13] J. Wang, Robust Tracking Controller Design with Application to an X-Y Feed Table for High-Speed Machining, PhD dissertation, ISBN, 90-5682-468-6, Katholieke Universiteit Leuven, Belgium, 2004.
- [14] M. Weck, Machine Tools and Machinig Systems, Vol. 3, Mechatronics Systems: Feed Drives and Process Diagnosis, Springer, 2001 (in German).
- [15] M. Weck, P. Krueger, C. Brecher, Limits for controller settings with electric linear direct drives, International Journal of Machine Tools and Manufacture 41 (2001) 65-88.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BOS5-0019-0066