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Design and experimental study of the SPKM165, a five-axis serial-parallel kinematic milling machine

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Abstract

A five-axis serial-parallel kinematic milling machine, the SPKM 165, is introduced. This machine consists of a three-degree-of-freedom parallel module and a two-degree-of-freedom serial table. The SPKM 165 is capable of five-face machining. A discussion of the inverse kinematics of the five-axis control is provided. A dimensional synthesis procedure is presented in terms of motion/force transmissibility. Finite-element analysis was used to evaluate the stiffness of a CAD model before the machine was manufactured. Kinematic calibration was implemented to improve the accuracy of the end effector. The results of a calibration experiment are presented. The stiffness of the developed machine was then measured. Milling experiments were conducted, and the test piece showed that the developed machine has satisfactory performance.

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References

  1. Son S, Kim T, Sarma S E, et al. A hybrid 5-axis CNC milling machine. Precis Eng, 2009, 33: 430–446

    Article  Google Scholar 

  2. Geldart M, Webb P, Larsson H, et al. A direct comparison of the machining performance of a variax 5 axis parallel kinetic machining centre with conventional 3 and 5 axis machine tools. Int J Mach Tools Manuf, 2003, 43(11): 1107–1116

    Article  Google Scholar 

  3. Tlusty J, Ziegert J, Ridgeway S. Fundamental comparison of the use of serial and parallel kinematics for machines tools. CIRP Annals — Manuf Technol, 1999, 48: 351–356

    Article  Google Scholar 

  4. Saglia J A, Dai J S, Caldwell D G. Geometry and kinematic analysis of a redundantly actuated parallel mechanism that eliminates singularities and improves dexterity. ASME J Mech Des, 2008, 130: 124501-1–124501-5)

    Article  Google Scholar 

  5. Kanaan D, Wenger P, Chablat D. Kinematic analysis of a serial-parallel machine tool: The VERNE machine. Mech Mach Theory, 2009, 44(2): 487–498

    Article  MATH  Google Scholar 

  6. Chen W J, Zhao M Y, Fang L J, et al. Development of a novel parallel manipulator based machine tool. In: Proc. of the 4th World Congress on Intelligent Control and Automation, Shanghai, China, 2002. 895–899

  7. Hu Y, Li B, Wang Z X, et al. Analysis of kinematics and dynamics for a novel hybrid kinematics machine. J Adv Mech Des Syst, 2007, 1(1): 58–69

    Google Scholar 

  8. Kim J W, Shin C R, Kim H S, et al. Error model and kinematic calibration of a 5-axis hybrid machine tool. In: 2006 SICE-ICASE International Joint Conf, Busan, Korea, 2006. 3111–3115

  9. Lue C W, Cheng Y M, Chin J H. System structure and contour tracking for a hybrid motion platform. Int J Adv Manuf Tech, 2005, 26(11–12): 1388–1396

    Article  Google Scholar 

  10. Liu X J, Wang Q M, Wang J. Kinematics, dynamics and dimensional synthesis of a novel 2-DoF translational manipulator. J Intell Robot Syst, 2004, 41(4): 205–224

    Article  Google Scholar 

  11. Zhang D, Wang L, Lang S Y T. Parallel kinematic machines: design, analysis and simulation in integrated virtual environment. ASME J Mech Des, 2005, 127: 580–588

    Article  Google Scholar 

  12. Huang Z, Li Q C. General methodology for the type synthesis of lower-mobility symmetrical parallel manipulators and several novel manipulators. Int J Robot Res, 2002, 21: 131–145

    Article  Google Scholar 

  13. Chablat D, Wenger P. Architecture optimization of a 3-DOF translational parallel mechanism for machining applications, the Orthoglide. IEEE Trans Rob Automat, 2003, 19(3): 403–410

    Article  Google Scholar 

  14. Zhao T S, Dai J S, Huang Z. Geometric analysis of overconstrained parallel manipulators with three and four degrees of freedom. JSME Int J C-Mech Sy, 2002, 45(3): 730–740

    Article  Google Scholar 

  15. Kong X, Gosselin C M. Type synthesis of 3-DOF PRR-equivalent parallel manipulator based in screw theory and the concept of virtual chain. ASME J Mech Des, 2005, 127: 1113–1121

    Article  Google Scholar 

  16. Tsai L W, Joshi S. Kinematic analysis of 3-DOF position mechanisms for use in hybrid kinematic machines. ASME J Mech Des, 2002, 124: 245–253

    Article  Google Scholar 

  17. Wang X, Baron L, Cloutier G. Topological and geometrical synthesis of three-degree-of-freedom fully parallel manipulators by instantaneous kinematics. ASME J Mech Des, 2008, 130: 032301-1–032301-8

    Google Scholar 

  18. Briot S, Bonev I A. Accuracy analysis of 3-DOF planar parallel robots. Mech Mach Theory, 2008, 43(4): 445–458

    Article  MATH  Google Scholar 

  19. Fernandez A J S, Jimenez V C. Olazabal M G. Kinematical system for a movable platform of a machine. European Patent No. EP1245349(A1), 2002

  20. Wahl J. Articulated Tool Head. WIPO Patent No. WO 00/25976, 2000

  21. Wang J S, Liu X J, Wu C. Optimal design of a new spatial 3-DOF parallel robot with respect to a frame-free index. Sci China Ser E-Tech Sci, 2009, 52: 986–999

    Article  MATH  Google Scholar 

  22. Li Y, Xu Q. Design and optimization of an XYZ parallel micromanipulator with flexure hinges. J Robot Intell Syst, 2009, 55(4): 377–402

    Article  MATH  Google Scholar 

  23. Ottaviano E, Ceccarelli M. Optimal design of CaPaMan (Cassino Parallel Manipulator) with a specified orientation workspace. Robotica, 2002, 20: 159–166

    Article  Google Scholar 

  24. Liu X J. Optimal kinematic design of a three translational DoFs parallel manipulator. Robotica, 2006, 24: 239–250

    Article  MATH  Google Scholar 

  25. Merlet J P. Jacobian, manipulability, condition number, and accuracy of parallel manipulators. ASME J Mech Des, 2006, 128: 199–206

    Article  Google Scholar 

  26. Sutherland G, Roth B. A transmission index for spatial mechanism. ASME J Eng Ind Trans, 1973, 589–597

  27. Huang T, Tang G, Li S, et al. Kinematic calibration of a class of parallel kinematic machines (PKM) with fewer than six degrees of freedom. Sci China Ser E-Tech Sci, 2003, 46(5): 515–526

    Article  MATH  Google Scholar 

  28. Li Y, Xu Q. Stiffness analysis for a 3-PUU parallel kinematic machine. Mech Mach Theory, 2008, 43(2): 186–200

    Article  MATH  Google Scholar 

  29. Dai J S, Zhao T S. Stiffness characteristics and kinematics analysis of two-link elastic under-actuated manipulators. J Robotic Syst, 2002, 19(4): 169–176

    Article  MATH  Google Scholar 

  30. Lu Y, Hu B. Analysis of stiffness and elastic deformation for some 3–5-DOF PKMs with SPR or RPS-type legs. ASME J Mech Des, 2008, 130: 102307-1–102307-8

    Google Scholar 

  31. Hernot X, Startor M, Guillot J. Calculation of the stiffness matrix of angular contact ball bearings by using the analytical approach. ASME J Mech Des, 2000, 122: 83–90

    Article  Google Scholar 

  32. Huang T, Chetwynd D G, Whitehouse D J, et al. A general and novel approach for parameter identification of 6-DOF parallel kinematic machines. Mech Mach Theory, 2005, 40(2): 219–239

    Article  MATH  Google Scholar 

  33. Chiu Y J, Perng M H. Self-calibration of a general hexapod manipulator using cylinder constraints. Int J Mach Tools Manuf, 2003, 43(10): 1051–1066

    Article  Google Scholar 

  34. Chang P, Wang J S, Li T M, et al. Step kinematic calibration of a 3-DOF planar parallel machine tool. Sci China Ser E-Tech Sci, 2008, 51: 2165–2177

    Article  Google Scholar 

  35. Tao D C. Applied Linkage Synthesis. Reading, MA: Addison-Wesley, 1964. 7–12

    Google Scholar 

  36. Alt V H. Der uberstragungswinkel und seine bedeutung fur dar konstruieren periodischer getriebe. Werksstattstechnik, 1932, 26(4): 61–65

    Google Scholar 

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Correspondence to XinJun Liu.

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Xie, F., Liu, X., Zhang, H. et al. Design and experimental study of the SPKM165, a five-axis serial-parallel kinematic milling machine. Sci. China Technol. Sci. 54, 1193–1205 (2011). https://doi.org/10.1007/s11431-011-4314-3

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  • DOI: https://doi.org/10.1007/s11431-011-4314-3

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