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Optimization of the response times of the feed kinematical linkages of the numerical control machine tools in order to minimize the path error

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Abstract

The main topic refers to enhancing the machining accuracy by minimizing the path error while machining through linear, circular or other interpolations on CNC machines for milling, boring and milling, grinding or turning. Currently the path error minimizing process while machining on CNC machine tools is a little explored, because of the absence of the dependence relations between the path error and the parameters of the kinematical axes taking part to the interpolation of the work piece contour. This work establishes and analyzes the relations of dependence between the path error and the response times of the kinematical axes that take part to the linear and circular interpolation. The theoretical results are experimentally verified by performing several machining operations through circular interpolation, where the moving speed along the contour and the response times of the kinematical axes are modified. The results of this research are intended for the machine tool designers and those who use such machines.

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References

  1. Lopez de Lacalle LN, Lamikiz A, Munoa J, Sanchez JA (2005) The cam as the centre of gravity of the five-axis high speed milling of complex parts. Int J Prod Res 43:1983–1999

    Article  Google Scholar 

  2. Ernesto C, Farouki R (2010) Solution of inverse dynamics probms for contour error minimization in CNC machines. Int J Adv Manuf Technol 49(6):589–604

    Article  Google Scholar 

  3. Dejima S, Gao W, Shimizu H, Kiyono S, Tomita Y (2005) Precision positioning of a five degree-of-freedom planar motion stage. Mechatronics 15:969–987

    Article  Google Scholar 

  4. Bezier P (2006) Optimizing the transmission ratio on mechanical systems for decreasing the response time. In: BIP Iasi, Tomul XLVII(LI), Sectia Constructii de Masini, Iasi, RO, pp 555–565

  5. Bell Y (2005) Compensation system of backlash and pitch errors of the feed kinematical linkages of the numerical control machine tools. In: Progresivie tehnologii i sistemi masinoctroenia, Donet, Ukraine, pp 165–173

  6. Heo EY, Kim DW, Kim BH, Chen FF (2006) Estimation of NC machining time using NC block distribution for sculptured surface machining. Robot Comput-Integr Manuf 22:437–446

    Article  Google Scholar 

  7. Lo CC, Hsiao CY (1998) CNC machine tool interpolator with path compensation for repeated contour machining. Comput Aided Des 30:55–62

    Article  Google Scholar 

  8. Pei Y-C, Tan Q-C (2009) Parametric instability of flexible disk rotating at periodically varying angular speed. Meccanica 44(6):711–720

    Article  MathSciNet  Google Scholar 

  9. Xiong ZH, Li ZX (2001) Error compensation of workpiece localization. In: Proceedings 2001 IEEE international conference on robotics and automation, Seul, pp 2249–2254

  10. Giam TS, Tan KK, Huang S (2006) Precision coordinated control of multi-axis gantry stages. ISA Trans 46:399–409

    Article  Google Scholar 

  11. Binaud N, Caro S, Wenger P (2011) Comparison of 3-RPR planar parallel manipulators with regard to their kinetostatic performance and sensitivity to geometric uncertainties. Meccanica 46(1):75–88

    Article  MathSciNet  MATH  Google Scholar 

  12. Monreal M, Rodrigues AC (2003) Influence of tool path strategy on the cycle tine of high speed milling. Comput Aided Des 35:395–401

    Article  Google Scholar 

  13. Morales CA, Ciaccia MA (2007) Structure synthesis method for buckling analysis in frames. Meccanica 42(6):601–607

    Article  MATH  Google Scholar 

  14. Dai Y, Chen S, Kang N, Li S (2010) Error calculation for corrective machining with allowance requirements. Int J Adv Manuf Technol 49(6):635–641

    Article  Google Scholar 

  15. Masouleh M, Gosselin C, Saadatzi M, Kong X, Taghirad H (2011) Kinematic analysis of 5-RPUR (3T2R) parallel mechanisms. Meccanica 46(1):131–146

    Article  MathSciNet  MATH  Google Scholar 

  16. Hwang J, Park C-H, Kim S-W (2010) Estimation method for errors of an aerostatic planar XY stage based on measured profiles errors. Int J Adv Manuf Technol 4(9):877–883

    Article  Google Scholar 

  17. Yang DCH, Kong T (1994) Parametric interpolator versus linear interpolator for precision CNC machining. Comput Aided Des 26:225–234

    Article  MATH  Google Scholar 

  18. Souza AF, Coelho RT (2007) Experimental investigation of feed rate limitations on high speed milling aimed at industrial applications. Int J Adv Manuf Technol 43(6):935–944

    Google Scholar 

  19. Wan H, Delale F (2010) A structural mechanics approach for predicting the mechanical properties of carbon nanotubes. Meccanica 45(1):43–51

    Article  MATH  Google Scholar 

  20. Yi-Jun Y, Song C, Jun-Hai Z, Jean-Claude P (2008) Aproximate computation of curves on B-spline surfaces. Comput Aided Des 40:223–234

    Article  Google Scholar 

  21. Laermann K-H (2010) Assessment of structural integrity and durability—a task of experimental mechanics. Meccanica 45(2):167–262

    Article  Google Scholar 

  22. Bohez E (2002) Five-axis milling machine tool kinematics chain design and analysis. Int J Mach Tools Manuf 42(3):505–520

    Article  Google Scholar 

  23. Abedinzadeh R, Karimian M (2010) Use of PLC module to control a rotary table to cut spiral bevel gear with three-axis CNC milling. Int J Adv Manuf Technol 49(11):1069–1077

    Google Scholar 

  24. Cha-Soo S, Kyungduck C, Yuan L (2003) Optimizing tool orientation for 5 axis machining by C-space search method. Comput Aided Des 35:549–566

    Article  Google Scholar 

  25. Lamikiz A, Lopez de Lacalle L, Ocerin O, Diez D, Maidagan E (2008) The Denavit and Hartenberg approach applied to evaluate the consequences in the tool tip position of geometrical errors in five-axis milling centres. Int J Adv Manuf Technol 37(1–2):122–139

    Article  Google Scholar 

  26. Campa F, Lopez de Lacalle L, Celaya A (2011) Chatter avoidance in the milling of thin floors with bull-nose end mills:Model and stability diagrams. Int J Mach Tools Manuf 51(1):43–53

    Article  Google Scholar 

  27. Stan G, Ciobanu R, Pal A (2011) Balancing-compensation system for the vertically moving elements of the machine tools with numerical control. Meccanica 46(4):755–769

    Article  Google Scholar 

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Authors and Affiliations

  1. Manufacturing Department, “Vasile Alecsandri” University of Bacau, Calea Marasesti, 157, Bacau, Romania

    Gheorghe Stan & Gabriel Lazar

  2. Development Department, CERSANIT Roman, Aleea Plopilor, 10, Roman, Romania

    Ciprian Miron

Authors
  1. Gheorghe Stan
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  2. Gabriel Lazar
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  3. Ciprian Miron
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Correspondence to Gheorghe Stan.

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Stan, G., Lazar, G. & Miron, C. Optimization of the response times of the feed kinematical linkages of the numerical control machine tools in order to minimize the path error. Meccanica 47, 1217–1227 (2012). https://doi.org/10.1007/s11012-011-9506-1

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  • DOI: https://doi.org/10.1007/s11012-011-9506-1

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