This paper firstly presents the conceptual design of a turbine blade grinding machine, and a hybrid mechanism with six degrees of freedom (DoFs) is proposed for the development of the machine. In this concept, a 3-DoF parallel kinematic mechanism is used to realize the high-speed and high dynamic performance. To ensure that the 3-DoF parallel kinematic mechanism has continuous workspace, the singularity is analyzed and discussed in detail. By taking motion/force transmissibility into consideration, kinematic optimization is carried out based on a local transmission index and the geometrical parameters are derived. The conceptual design and optimization presented in this paper are very helpful to the development of the turbine blade grinding machine.
PierrotFReynaudCFournierA. Delta - A simple and efficient parallel robot. Robotica1990; 8: 105–109.
4.
LiQCHerveJM. 1T2R parallel mechanisms without parasitic motion. IEEE Trans Robot2010; 26: 401–410.
5.
YuJJDongXPeiX. Mobility and singularity analysis of a class of two degrees of freedom rotational parallel mechanisms using a visual graphic approach. J Mech Robot-Trans ASME2012; 4. (0410064).
6.
GoguG. Parallel mechanisms with decoupled rotation of the moving platform in planar motion. Proc IMechE, Part C: J Mechanical Engineering Science2010; 224: 709–720.
7.
GezginEOzdemirS. Classification of manipulators of the same origin by virtue of compactness and complexity. Mech Mach Theory2011; 46: 1425–1433.
8.
CompanyOMarquetFPierrotF. A new high-speed 4-DOF parallel robot synthesis and modeling issues. IEEE Trans Robot Autom2003; 19: 411–420.
9.
Nabat V, de la O Rodriguez M, Company O, et al. Par4: Very high speed parallel robot for pick-and-place. In: 2005 IEEE/RSJ International conference on intelligent robots and systems, 2005, pp.553–558.
10.
ÖzgürEAndreffNMartinetP. Linear dynamic modeling of parallel kinematic manipulators from observable kinematic elements. Mech Mach Theory2013; 69: 73–89.
11.
ShinHKimSJeongJ. Stiffness enhancement of a redundantly actuated parallel machine tool by dual support rims. Int J Precis Eng Manuf2012; 13: 1539–1547.
12.
XieFGLiuXJWuC. A novel spray painting robotic device for the coating process in automotive industry. Proc IMechE, Part C: J Mechanical Engineering Science2014.
13.
ChablatDAngelesJ. The design of a novel prismatic drive for a three-DOF parallel-kinematics machine. J Mech Des2006; 128: 710–718.
14.
XieFGLiuXJZhouYH. Development and experimental study of a redundant hybrid machine with five-face milling capability in one setup. Int J Precis Eng Manuf2014; 15: 13–21.
15.
AltuzarraOMachoEAginagaJ. Design of a solar tracking parallel mechanism with low energy consumption. Proc IMechE, Part C: J Mechanical Engineering Science2014.
16.
ShinHLeeSInW. Kinematic optimization of a redundantly actuated parallel mechanism for maximizing stiffness and workspace using Taguchi method. J Comput Nonlinear Dyn2011; 6: 011017--1∼9.
17.
SunTSongYMLiYG. Workspace decomposition based dimensional synthesis of a novel hybrid reconfigurable robot. J Mech Robot-Trans ASME2010; 2: 031009--1∼8–031009--1∼8.
18.
KanaanDWengerPChablatD. Kinematic analysis of a serial-parallel machine tool: The VERNE machine. Mech Mach Theory2009; 44: 487–498.
19.
Wu YQ, Wang H, Li ZX, et al., Quotient kinematics machines: Concept, analysis and synthesis. In: 2010 IEEE international conference on robotics and automation (ICRA), 2010, pp.2739–2744. New York: IEEE.
HuangZLiQC. Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method. Int J Robot Res2003; 22: 59–79.
22.
YuJJDaiJSBiSS. Type synthesis of a class of spatial lower-mobility parallel mechanisms with orthogonal arrangement based on Lie group enumeration. Sci China-Technol Sci2010; 53: 388–404.
23.
XieFGLiuXJYouZ. Type synthesis of 2T1R-type parallel kinematic mechanisms and the application in manufacturing. Robot Comput-Integr Manuf2014; 30: 1–10.
24.
QinYDaiJS. Configuration and actuation analysis of a 2US+UPS asymmetrical parallel mechanism. Proc IMechE, Part C: J Mechanical Engineering Science2012; 226: 2296–2308.
25.
AltuzarraOLoizagaMPintoC. Synthesis of partially decoupled multi-level manipulators with lower mobility. Mech Mach Theory2010; 45: 106–118.
26.
ZengQFangYF. Structural synthesis and analysis of serial-parallel hybrid mechanisms with spatial multi-loop kinematic chains. Mech Mach Theory2012; 49: 198–215.
27.
YangTLSunDJ. A general degree of freedom formula for parallel mechanisms and multiloop spatial mechanisms. J Mech Robot-Trans ASME2012; 4. (0110011).
28.
LiuXJWuCWangJS. A new approach for singularity analysis and closeness measurement to singularities of parallel manipulators. J Mech Robot-Trans ASME2012; 4: 041001 (10 pp)–041001 (10 pp).
29.
MonsarratBGosselinCM. Singularity analysis of a three-leg six-degree-of-freedom parallel platform mechanism based on Grassmann line geometry. Int J Robot Res2001; 20: 312–326.
30.
YuJJLiSZPeiX. A unified approach to type synthesis of both rigid and flexure parallel mechanisms. Sci China-Technol Sci2011; 54: 1206–1219.
31.
WangJSWuCLiuXJ. Performance evaluation of parallel manipulators: Motion/force transmissibility and its index. Mech Mach Theory2010; 45: 1462–1476.
32.
MerletJP. Jacobian, manipulability, condition number, and accuracy of parallel robots. J Mech Des2006; 128: 199–206.
33.
WangJSLiuXJWuC. Optimal design of a new spatial 3-DOF parallel robot with respect to a frame-free index. Sci China Ser E: Technol Sci2009; 52: 986–999.
34.
Pham P. Design of hybrid-kinematic mechanisms for machine tools. Lausanne, Switzerland, 2009.
35.
XieFGLiuXJZhouYH. Optimization of a redundantly actuated parallel kinematic mechanism for a 5-degree-of-freedom hybrid machine tool. Proc IMechE, Part B: J Engineering Manufacture2014; 228: 1630–1641.
