RESEARCH ARTICLE

Structural optimization of typical rigid links in a parallel kinematic machine

  • Xinjun LIU ,
  • Zhidong LI ,
  • Xiang CHEN
Expand
  • State Key Laboratory of Tribology & Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology, Tsinghua University, Beijing 100084, China

Received date: 23 Mar 2011

Accepted date: 10 Jun 2011

Published date: 05 Sep 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

The motion dynamics and accuracy of parallel kinematic machines largely depend on the weights and rigidity of typical rigid links. Therefore, these parts should be designed in such a way that they are light but rigid. This work employs the techniques of topology and size optimization to design two typical rigid links of a parallel kinematic machine (PKM) and subsequently obtains applicable structures for them. The calculation models are established, and a new algorithm called the Guide-Weight method is introduced to solve topology optimization problems. The commercial software Ansys is used to perform size optimization.

Cite this article

Xinjun LIU , Zhidong LI , Xiang CHEN . Structural optimization of typical rigid links in a parallel kinematic machine[J]. Frontiers of Mechanical Engineering, 2011 , 6(3) : 344 -353 . DOI: 10.1007/s11465-011-0227-x

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (Grant No. 51075222), the National Key Scientific and Technological Project (No. 2010ZX04004-116), and by the Fund of State Key Laboratory of Tribology (No. SKLT10C02 ).
1
Fassi I, Wiens G J. Multiaxis machining: PKMs and traditional machining centers. Journal of Manufacturing Processes, 2000, 2(1): 1–14

DOI

2
Weck M, Staimer D. Parallel kinematic machines-current state and future potentials. CIRP Annals- Manufacturing Technology, 2002, 51(2): 671–683

3
Bonnemains T, Chanal H, Bouzgarrou B, Ray P. Stiffness computation and identification of parallel kinematic machine tools. Journal of Manufacturing Science and Engineering, 2009, 131(4): 041013.1–041013.7

4
Li Y, Xu Q. Stiffness analysis for a 3-PUU parallel kinematic machine. Mechanism and Machine Theory, 2008, 43(2): 186–200

DOI

5
Zhang D, Wang L, Lang S Y T. Parallel kinematic machines: design, analysis and simulation in an integrated virtual environment. Journal of Mechanical Design, 2005, 127(4): 580–588

DOI

6
Li Y, Xu Q. Dynamic modeling and robust control of a 3-PRC translational parallel kinematic machine. Robotics and Computer-Integrated Manufacturing, 2009, 25: 630–640

7
Bendsoe M P, Sigmund O. Topology Optimization: Theory, Methods and Applications. Berlin: Springer, 2003

8
Eschenauer H A, Olhoff N. Topology optimization of continuum structure: a review. Applied Mechanics Reviews, 2001, 54(4): 331–390

DOI

9
Hull P V, Canfield S. Optimal synthesis of compliant mechanisms using subdivision and commercial FEA. Journal of Mechanical Design, 2006, 128(2): 337–348

DOI

10
Wang M Y. Mechanical and geometric advantages in compliant mechanism optimization. Frontiers of Mechanical Engineering in China, 2009, 4(3): 229–241

11
Patel N M, Kang B S, Renaud J E, Tovar A. Crashworthiness design using topology optimization. Journal of Mechanical Design, 2009, 131(6): 061013.1–061013.12

12
Albert A, Jens O.Integrated structural and controller optimization in dynamic mechatronic systems. Journal of Mechanical Design, 2010, 132(4): 041008.1–041008.8

13
Krog L, Tucker A, Rollema G. Application of topology, sizing and shape optimization methods to optimal design of aircraft components. In: Proceedings of the 3rd Altair UK HyperWorks Users Conference, 2002

14
Hassani B, Hinton E. A review of homogenization and topology optimization I: homogenization theory for media and periodic structure. Computers & Structures, 1998, 69(6): 707–717

DOI

15
Hassani B, Hinton E. A review of homogenization and topology optimization II: analytical and numerical solution of homogenization equations. Computers & Structures, 1998, 69(6): 719–738

DOI

16
Hassani B, Hinton E. A review of homogenization and topology optimization III: topology optimization using optimality criteria. Computers & Structures, 1998, 69(6): 739–756

DOI

17
Bendsøe M P, Sigmund O. Material interpolation schemes in topology optimization. Archive of Applied Mechanics, 1999, 69(9–10): 635–654

DOI

18
Rozvany G I N. A critical review of established methods of structural topology optimization. Structural and Multidisciplinary Optimization, 2009, 37(3): 217–237

DOI

19
Rozvany G I N, Zhou M. The COC algorithm, part I: cross-section optimization or sizing. Computer Methods in Applied Mechanics and Engineering, 1991, 89(1–3): 281–308

DOI

20
Rozvany G I N, Zhou M. The COC algorithm, part II: topological, geometrical and generalized shape optimization. Computer Methods in Applied Mechanics and Engineering, 1991, 89(1–3): 309–336

21
Zhou M, Rozvany G I N. DCOC: an optimality criteria method for large systems part I: theory. Structural Optimization, 1992, 5(1): 12–25

DOI

22
Zhou M, Rozvany G I N. DCOC: An optimality criteria method for large systems part II: Algorithm. Structural Optimization, 1992, 6(3): 250–262

23
Bruyneel M, Duysinx P, Fleury C. A family of MMA approximations for structural optimization. Structural and Multidisciplinary Optimization, 2002, 24(4): 263–276

DOI

24
Zhou M, Pagaldipti N, Thomas H L, Shyy Y K. An integrated approach to topology, sizing, and shape optimization. Structural and Multidisciplinary Optimization, 2004, 26(5): 308–317

DOI

25
Chen S, Ye S A. Guide-Weight criterion method for the optimal design of antenna structures. Engineering Optimization, 1986, 10(3): 199–216

DOI

26
Chen S. Analysis, synthesis and optimization of engineering structural systems. Hongkong: China Science Culture Publishing House, 2008

27
Chen S, Torterelli D A. Three-dimensional shape optimization with variational geometry. Structural Optimization, 1997, 13(2–3): 81–94

DOI

28
Hetrick J A, Kota S. An energy formulation for parametric size and shape optimization of compliant mechanisms. Journal of Mechanical Design, 1999, 121(2): 229–234

DOI

Outlines

/