Technical Brief

Optimal Design of a 2-UPR-RPU Parallel Manipulator

[+] Author and Article Information
Feibo Wang

Mechatronic Institute,
Zhejiang Sci-Tech University,
Hangzhou, Zhejiang Province 310018, China
e-mail: wfbace@hotmail.com

Qiaohong Chen

School of Information,
Zhejiang Sci-Tech University,
Hangzhou, Zhejiang Province 310018, China
e-mail: chen_lisa@zstu.edu.cn

Qinchuan Li

Mechatronic Institute,
Zhejiang Sci-Tech University,
Hangzhou, Zhejiang Province 310018, China
e-mail: lqchuan@zstu.edu.cn

1Corresponding author.

Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received October 8, 2014; final manuscript received January 3, 2015; published online February 16, 2015. Assoc. Editor: Oscar Altuzarra.

J. Mech. Des 137(5), 054501 (May 01, 2015) (4 pages) Paper No: MD-14-1674; doi: 10.1115/1.4029587 History: Received October 08, 2014; Revised January 03, 2015; Online February 16, 2015

This paper investigates dimensional optimization of a 2-UPR-RPU parallel manipulator (where U is a universal joint, P a prismatic pair, and R a revolute pair). First, the kinematics and screws of the mechanism are analyzed. Then, three indices developed from motion/force transmission are proposed to evaluate the performance of the 2-UPR-RPU parallel manipulator. Based on the performance atlases obtained, a set of optimal parameters are selected from the optimum region within the parameter design space. Finally, the optimized parameters are determined for practical applications.

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Gosselin, C., and Angeles, J., 1989, “The Optimum Kinematic Design of a Spherical Three-Degree-of-Freedom Parallel Manipulator,” ASME J. Mech. Des., 111(2), pp. 202–207. [CrossRef]
Gosselin, C., and Angeles, J., 1991, “A Global Performance Index for the Kinematic Optimization of Robotic Manipulators,” ASME J. Mech. Des., 113(3), pp. 220–226. [CrossRef]
Yoshikawa, T., 1985, “Manipulability of Robotic Mechanisms,” Int. J. Rob. Res., 4(2), pp. 3–9. [CrossRef]
Zanganeh, K. E., and Angeles, J., 1997, “Kinematic Isotropy and the Optimum Design of Parallel Manipulators,” Int. J. Rob. Res., 16(2), pp. 185–197. [CrossRef]
Carretero, J., Podhorodeski, R., Nahon, M., and Gosselin, C. M., 2000, “Kinematic Analysis and Optimization of a New Three Degree-of-Freedom Spatial Parallel Manipulator,” ASME J. Mech. Des., 122(1), pp. 17–24. [CrossRef]
Badescu, M., and Mavroidis, C., 2004, “Workspace Optimization of 3-Legged UPU and UPS Parallel Platforms With Joint Constraints,” ASME J. Mech. Des., 126(2), pp. 291–300. [CrossRef]
Merlet, J. P., 2005, “Jacobian, Manipulability, Condition Number, and Accuracy of Parallel Robots,” ASME J. Mech. Des., 128(1), pp. 199–206. [CrossRef]
Tandirci, M., Angeles, J., and Ranjbaran, F., 1992, “The Characteristic Point and the Characteristic Length of Robotic Manipulators,” Proceedings of the ASME 22nd Biennial Mechanisms Conference Robotics, Spatial Mechanisms and Mechanical Systems, Scotsdale, AZ, Vol. 45, pp. 203–208.
Pond, G., and Carretero, J. A., 2006, “Formulating Jacobian Matrices for the Dexterity Analysis of Parallel Manipulators,” Mech. Mach. Theory, 41(12), pp. 1505–1519. [CrossRef]
Altuzarra, O., Salgado, O., Petuya, V., and Hernández, A., 2006, “Point-Based Jacobian Formulation for Computational Kinematics of Manipulators,” Mech. Mach. Theory, 41(12), pp. 1407–1423. [CrossRef]
Sutherland, G., and Roth, B. A., 1973, “Transmission Index for Spatial Mechanisms,” J. Eng. Ind., 95(2), pp. 589–597. [CrossRef]
Tsai, M. J., and Lee, H. W., 1994, “The Transmissivity and Manipulability of Spatial Mechanisms,” ASME J. Mech. Des., 116(1), pp. 137–143. [CrossRef]
Chen, C., and Angeles, J., 2007, “Generalized Transmission Index and Transmission Quality for Spatial Linkages,” Mech. Mach. Theory, 42(9), pp. 1225–1237. [CrossRef]
Liu, X. J., Wang, L. P., Xie, F. G., and Bonev, I. A., 2010, “Design of a Three-Axis Articulated Tool Head With Parallel Kinematics Achieving Desired Motion/Force Transmission Characteristics,” ASME J. Manuf. Sci. Eng., 132(2), p. 021009. [CrossRef]
Li, Q., and Herve, J. M., 2014, “Type Synthesis of 3-DOF RPR-Equivalent Parallel Mechanisms,” IEEE Trans. Rob., 30(6), pp. 1333–1343. [CrossRef]


Grahic Jump Location
Fig. 2

Performance design space of the 2-UPR-RPU PM

Grahic Jump Location
Fig. 1

Schematic diagram of a 2-UPR-RPU PM

Grahic Jump Location
Fig. 3

Atlases of TS, GTWV, and GTI

Grahic Jump Location
Fig. 4

Optimum region with the desired requirements




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