Research Papers

An Approach for the Lightweight Design of a 3-SPR Parallel Mechanism

[+] Author and Article Information
Manxin Wang

Department of Mechanical Engineering,
Nanjing University of Science and Technology,
Nanjing 210094, China
e-mail: mxwang@njust.edu.cn

Haitao Liu

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: liuht@tju.edu.cn

Tian Huang

Key Laboratory of Mechanism Theory
and Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China
e-mail: tianhuang@tju.edu.cn

1Corresponding author.

Manuscript received April 6, 2017; final manuscript received August 3, 2017; published online August 31, 2017. Assoc. Editor: Raffaele Di Gregorio.

J. Mechanisms Robotics 9(5), 051016 (Aug 31, 2017) (10 pages) Paper No: JMR-17-1089; doi: 10.1115/1.4037618 History: Received April 06, 2017; Revised August 03, 2017

A hierarchical approach for the lightweight design of a 3-SPR parallel mechanism (PM) is presented in this paper. The criterion to match the rigidities of the limb body and those of the joints is proposed; meanwhile, the constraints in terms of technological processes and the dimensional correlations among components and joints, etc., are considered in this approach. Based on these considerations, the design flow is developed by maximizing the lower-order natural frequencies as well as by minimizing the weights of the limbs/subassemblies subject to specified rigidity constraints attributed to them. The proposed approach simultaneously enables the PM to achieve both high static rigidities and high dynamic behaviors.

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Tsai, L. W. , 1999, Robot Analysis: The Mechanics of Serial and Parallel Manipulators, Wiley-Interscience Publication, New York.
Huang, T. , Li, M. , Wu, M. L. , Mei, J. P. , Zhao, X. M. , and Hu, S. J. , 2005, “ The Criteria for Conceptual Design of Reconfigurable PKM Modules—Theory and Application,” Chin. J. Mech. Eng., 41(8), pp. 36–41. [CrossRef]
Olazagoitia, J. L. , and Wyatt, S. , 2007, “ New PKM Tricept T9000 and Its Application to Flexible Manufacturing at Aerospace Industry,” SAE Paper No. 2007-01-3820.
Tonshoff, H. K. , Grendel, H. , and Kaak, R. , 1999, “ Structure and Characteristics of the Hybrid Manipulator George V,” Parallel Kinematic Machines, C. R. Boer , L. Molinari-Tosatti , and K. S. Smith , eds., Springer-Verlag, London, pp. 365–376.
Zielinski, C. , Mianowski, K. , Nazarczuk, K. , and Szynkiewicz, W. , 2003, “ A Prototype Robot for Polishing and Milling Large Objects,” Ind. Rob., 30(1), pp. 67–76. [CrossRef]
Bi, Z. M. , and Jin, Y. , 2011, “ Kinematic Modeling of Exechon Parallel Kinematic Machine,” Rob. Comput. Integr. Manuf., 27(1), pp. 186–193. [CrossRef]
Cao, W. A. , Ding, H. F. , and Yang, D. H. , 2016, “ A Method for Compliance Modeling of Five Degree-of-Freedom Overconstrained Parallel Robotic Mechanisms With 3T2R Output Motion,” ASME J. Mech. Rob., 9(1), p. 011011. [CrossRef]
Ceccarelli, M. , and Carbone, G. A. , 2002, “ Stiffness Analysis for CaPaMan (Cassino Parallel Manipulator),” Mech. Mach. Theory, 37(5), pp. 427–439. [CrossRef]
Huang, T. , Mei, J. P. , Zhao, X. Y. , Zhou, L. H. , Zhang, D. W. , Zeng, Z. P. , and Whitehouse, D. J. , 2001, “ Stiffness Estimation of a Tripod-Based Parallel Kinematic Machine,” IEEE International Conference on Robotics & Automation (ICRA), Seoul, South Korea, May 21–26, pp. 3280–3285.
Lian, B. B. , Sun, T. , Song, Y. M. , Jin, Y. , and Price, M. , 2015, “ Stiffness Analysis and Experiment of a Novel 5-DoF Parallel Kinematic Machine Considering Gravitational Effects,” Int. J. Mach. Tools Manuf., 95, pp. 82–96. [CrossRef]
Rezaei, A. , Akbarzadeh, A. , and Akbarzadeh, T. M. R. , 2012, “ An Investigation on Stiffness of a 3-PSP Spatial Parallel Mechanism With Flexible Moving Platform Using Invariant Form,” Mech. Mach. Theory, 51, pp. 195–216. [CrossRef]
Li, Y. G. , Liu, H. T. , Zhao, X. M. , Huang, T. , and Chetwynd, D. G. , 2010, “ Design of a 3-DOF PKM Module for Large Structural Component Machining,” Mech. Mach. Theory, 45(6), pp. 941–954. [CrossRef]
Portman, V . T. , 2011, “ Stiffness Evaluation of Machines and Robots: Minimum Collinear Stiffness Value Approach,” ASME J. Mech. Rob., 3(1), p. 011015. [CrossRef]
Zhou, Z. L. , Xi, J. , and Mechefske, C. K. , 2006, “ Modeling of a Fully Flexible 3PRS Manipulator for Vibration Analysis,” ASME J. Mech. Des., 128(2), pp. 403–412. [CrossRef]
Piras, G. , Cleghorn, W. L. , and Mills, J. K. , 2005, “ Dynamic Finite-Element Analysis of a Planar High-Speed, High-Precision Parallel Manipulator With Flexible Links,” Mech. Mach. Theory, 40(7), pp. 849–862. [CrossRef]
Zhang, X. P. , Mills, J. K. , and Cleghorn, W. L. , 2007, “ Dynamic Modeling and Experimental Validation of a 3-PRR Parallel Manipulator With Flexible Intermediate Links,” J. Int. Rob. Syst., 50(4), pp. 323–340. [CrossRef]
Menon, C. , Vertechy, R. , Markot, M. C. , and Parenti-Castelli, V. , 2009, “ Geometrical Optimization of Parallel Mechanisms Based on Natural Frequency Evaluation: Application to a Spherical Mechanism for Future Space Applications,” IEEE Trans. Rob., 25(1), pp. 12–24. [CrossRef]
Zhao, Y. J. , Gao, F. , and Dong, X. J. , 2011, “ Dynamics Analysis and Characteristics of the 8-PSS Flexible Redundant Parallel Manipulator,” Rob. Comput.-Integr. Manuf., 27(5), pp. 918–928. [CrossRef]
Wu, J. , Wang, L. P. , and Guan, L. W. , 2013, “ A Study on the Effect of Structure Parameters on the Dynamic Characteristics of a PRRRP Parallel Manipulator,” Nonlinear Dyn., 74(1–2), pp. 227–235. [CrossRef]
Zhang, J. , Dai, J. S. , and Huang, T. , 2015, “ Characteristic Equation-Based Dynamic Analysis of a Three-Revolute Prismatic Spherical Parallel Kinematic Machine,” ASME J. Comput. Nonlinear Dyn., 10(2), p. 021017. [CrossRef]
Zhang, S. , Zhang, B. S. , Wei, H. H. , Wei, M. H. , and Fan, L. Q. , 2014, Innovation and Design of Machine Tool Product, Southeast University Press, Nanjing, China, pp. 28–56.
Zhao, L. , Chen, W. C. , Ma, J. , and Yang, Y. , 2008, “ Structural Bionic Design and Experimental Verification of a Machine Tool Column,” J. Bionic Eng., 5, pp. 46–52. [CrossRef]
Panchal, D. M. , 2010, “ Topology Optimization of Machine Column for the Horizontal Machining Center,” Master thesis, University of Duisburg-Essen, Duisburg, Germany.
Kroll, L. , Blau, P. , Wabner, M. , Frieß, U. , Eulitz, J. , and Klärner, M. , 2011, “ Lightweight Components for Energy-Efficient Machine Tools,” CIRP J. Manuf. Sci. Technol., 4(2), pp. 148–160. [CrossRef]
Zulaika, J. J. , Campa, F. J. , and Lacalle, L. N. , 2011, “ An Integrated Process–Machine Approach for Designing Productive and Lightweight Milling Machines,” Int. J. Mach. Tools Manuf., 51, pp. 591–604. [CrossRef]
Tambolia, K. , Georgeb, P. M. , and Sanghvia, R. , 2014, “ Optimization of Steel Box Column for a Pillar-Type Drilling Machine Using Particle Swarm Optimization,” Procedia Technol., 14, pp. 473–479. [CrossRef]
Wang, M. X. , Liu, H. T. , Huang, T. , and Chetwynd, D. G. , 2015, “ Compliance Analysis of a 3-SPR Parallel Mechanism With Consideration of Gravity,” Mech. Mach. Theory, 84, pp. 99–112. [CrossRef]
Huang, T. , Liu, H. T. , and Chetwynd, D. G. , 2011, “ Generalized Jacobian Analysis of Lower Mobility Manipulators,” Mech. Mach. Theory, 46(5), pp. 831–844. [CrossRef]
Byeng, D. Y. , and Kyung, K. C. , 2004, “ A New Response Surface Methodology for Reliability-Based Design Optimization,” Comput. Struct., 82(2–3), pp. 241–256. [CrossRef]
Wang, M. X. , Liu, H. T. , and Huang, T. , 2017, “ Kinematics Performance Evaluation of a 3-SPR Parallel Manipulator,” Chin. J. Mech. Eng., 53(5), pp. 108–115. [CrossRef]
Myers, R. H. , and Montgomery, D. C. , 2006, Response Surface Methodology: Process and Product in Optimization Using Designed Experiments, Wiley, New York.
Censor, Y. , 1977, “ Pareto Optimality in Multi-Objective Problems,” Appl. Math. Optim., 4(1), pp. 41–59. [CrossRef]


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Fig. 4

Body fixed frames of the limb body assembly

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Fig. 3

Body fixed frames of the S joint

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Fig. 2

Schematic diagram of a 3-SPR PM

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Fig. 1

Three-dimensional model of the 5-DOF hybrid manipulator

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Fig. 5

Structure diagram of the SPR limb

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Fig. 6

Structure diagram of the S joint

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Fig. 7

Main structural parameters of the limb body

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Fig. 8

The flow of lightweight design for 3-SPR PM

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Fig. 9

Dimension correlations in the SPR limb

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Fig. 10

Dimensional correlation between the R joint and moving platform

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Fig. 11

The variation of (a) mL, (b) cy4y4,L_bodyB, and (c) cz4z4,L_bodyB versus ℓt1 and ℓt2 when ℓb1=290 mm,ℓh=60 mm,ℓt3=14 mm,and ℓt4=11 mm

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Fig. 12

The variation of (a) mL, (b) cy4y4,L_bodyB, and (c) cz4z4,L_bodyB versus ℓt3 and ℓt4 when ℓb1=290 mm,ℓb2=125 mm,ℓt1=14 mm,and ℓt2=11 mm

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Fig. 13

Distributions of the first four-order natural frequencies within the midlayer of Wt′

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Fig. 14

The distribution of the stiffness within Wt′




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