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An approach to error elimination for multi-axis CNC machining and robot manipulation

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Abstract

The geometrical accuracy of a machined feature on a workpiece during machining processes is mainly affected by the kinematic chain errors of multi-axis CNC machines and robots, locating precision of fixtures, and datum errors on the workpiece. It is necessary to find a way to minimize the feature errors on the workpiece. In this paper, the kinematic chain errors are transformed into the displacements of the workpiece. The relationship between the kinematic chain errors and the displacements of the position and orientation of the workpiece is developed. A mapping model between the displacements of workpieces and the datum errors, and adjustments of fixtures is established. The suitable sets of unit basis twists for each of the commonly encountered types of feature and the corresponding locating directions are analyzed, and an error elimination (EE) method of the machined feature is formulated. A case study is given to verify the EE method.

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References

  1. Asada H, By A B. Kinematic analysis of workpart fixturing for flexible assembly with automatically reconfigurable fixtures. IEEE J Robotics Automation, 1985, 1(2): 86–93

    Google Scholar 

  2. Rimon E, Burdick J W, Omata T. A polyhedral bound on the indeterminate contact forces in planar quasi-rigid fixturing and grasping arrangements. IEEE T Robotics, 2006, 22(2): 240–255

    Article  Google Scholar 

  3. Marin R A, Ferreira P M. Analysis of the influence of fixture locator errors on the compliance of work part features to geometric tolerance specifications. Trans ASME J Manu Sci Eng, 2003, 125: 609–616

    Article  Google Scholar 

  4. Raghu A, Melkote S N. Modeling of workpiece location error due to fixture geometric error and fixture-workpiece compliance. Trans ASME J Manu Sci Eng, 2005, 127: 75–83

    Article  Google Scholar 

  5. Lee J H, Yang S H. Statistical optimization and assessment of a thermal error model for CNC machine tools. Int J Mach-Tools & Manu, 2002, 42: 147–155

    Article  MATH  Google Scholar 

  6. Altintas Y, Weck M. Chatter stability of metal cutting and grinding. Annals CIRP, 2004, 53(2): 619–639

    Article  Google Scholar 

  7. Tutunea-Fatan O R, Feng H Y. Determination of geometry-based errors for interpolated tool paths in five-axis surface machining. Trans ASME J Manu Sci Eng, 2005, 127: 60–67

    Article  Google Scholar 

  8. Hocken J. Machine Tool Task Force, Technology of Machine Tools. Vol. 5: Machine tool accuracy. UCRL-52960-5, Lawrence Livermore Laboratory, University of California, California, 1980

    Google Scholar 

  9. Wang H, Huang Q. Error cancellation modeling and its application to machining process control. IIE Transactions, 2006, 38: 379–388

    MathSciNet  Google Scholar 

  10. Xiong Y L, Ding H, Wang M Y. Quantitative analysis of inner force distribution and load capacity of grasps and fixtures. Trans ASME J Manu Sci Eng, 2002, 124: 444–455

    Article  Google Scholar 

  11. Xiong C H, Rong Y K, Tang Y, et al. Fixturing model and analysis. Int J Com Appl Tech, 2007, 28(1): 34–45

    Article  Google Scholar 

  12. Xiong C H, Li Y F, Rong K, et al. Qualitative analysis and quantitative evaluation of fixturing. Robot CIM Manu, 2002, 18(5–6): 335–342

    Article  Google Scholar 

  13. Xiong C H, Li Y F, Ding H, et al. On the dynamic stability of grasping. Int J Robot Res, 1999, 18(9): 951–958

    Article  Google Scholar 

  14. Xiong C H, Xiong Y L. Stability index and contact configuration planning for multifingered grasp. J Robotic Syst, 1998, 15(4): 183–190

    Article  MATH  Google Scholar 

  15. Xiong C H, Wang M Y, Tang Y, et al. On prediction of passive contact forces of workpiece-fixture systems. In: Proceedings of the Institution of Mechanical Engineers, Part B. J Eng Manu98, 2005, 219(B3): 309–324

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Xiong CaiHua

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  1. Xiong CaiHua
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Correspondence to Xiong CaiHua.

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Recommended by Prof. XIONG YouLun, Member of Editorial Committee of Science in China, Series E: Technological Sciences

Supported by the National Natural Science Foundation of China (Grant Nos. 50475141, 50436010), the “973” Research Foundation of China (Grant No. 2005CB724103) and the Program for New Century Excellent Talents in University (Grant No. NCET-05-0651)

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Xiong, C. An approach to error elimination for multi-axis CNC machining and robot manipulation. SCI CHINA SER E 50, 560–574 (2007). https://doi.org/10.1007/s11431-007-0065-6

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  • DOI: https://doi.org/10.1007/s11431-007-0065-6

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