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

Science in China Series E: Technological Sciences - Tập 54 - Trang 1193-1205 - 2011
FuGui Xie1, XinJun Liu1, Hui Zhang1, JinSong Wang1
1State Key Laboratory of Tribology & Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China

Tóm tắt

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.

Tài liệu tham khảo

Son S, Kim T, Sarma S E, et al. A hybrid 5-axis CNC milling machine. Precis Eng, 2009, 33: 430–446 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 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 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) 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 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 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 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 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 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 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 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 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 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 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 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 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 Briot S, Bonev I A. Accuracy analysis of 3-DOF planar parallel robots. Mech Mach Theory, 2008, 43(4): 445–458 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 Wahl J. Articulated Tool Head. WIPO Patent No. WO 00/25976, 2000 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 Li Y, Xu Q. Design and optimization of an XYZ parallel micromanipulator with flexure hinges. J Robot Intell Syst, 2009, 55(4): 377–402 Ottaviano E, Ceccarelli M. Optimal design of CaPaMan (Cassino Parallel Manipulator) with a specified orientation workspace. Robotica, 2002, 20: 159–166 Liu X J. Optimal kinematic design of a three translational DoFs parallel manipulator. Robotica, 2006, 24: 239–250 Merlet J P. Jacobian, manipulability, condition number, and accuracy of parallel manipulators. ASME J Mech Des, 2006, 128: 199–206 Sutherland G, Roth B. A transmission index for spatial mechanism. ASME J Eng Ind Trans, 1973, 589–597 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 Li Y, Xu Q. Stiffness analysis for a 3-PUU parallel kinematic machine. Mech Mach Theory, 2008, 43(2): 186–200 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 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 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 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 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 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 Tao D C. Applied Linkage Synthesis. Reading, MA: Addison-Wesley, 1964. 7–12 Alt V H. Der uberstragungswinkel und seine bedeutung fur dar konstruieren periodischer getriebe. Werksstattstechnik, 1932, 26(4): 61–65