Skip to main content
Log in

Feasible workspace regions for general two-revolute manipulator

  • Research Article
  • Published:
Frontiers of Mechanical Engineering Aims and scope Submit manuscript

Abstract

In this paper, a topology is presented for feasible workspace regions in general two-revolute manipulators. The design problem and concept of feasible workspace regions have been discussed as linked to each other. Design equations are formulated by arbitrarily prescribing four workspace boundary points. The so-called feasible workspace regions are the intersection of three different sub-regions, which are given by constraint curves as function of the relative positions of three workspace boundary points. By using a parametric study, all topologies for three sub-regions are figured out. Corresponding areas in cross section plane are determined for prescribing the position of a feasible workspace point as function of the topology for sub-regions. A classification has been proposed to determine and to characterize the combination of the topologies for those sub-regions. All topologies for feasible workspace regions are figured out and they are discussed as a design tool. Three general cases are analyzed in details to characterize workspace design capabilities for general two-revolute manipulators.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Freudenstein F, Primrose E J. On the analysis and synthesis of the workspace of a three-link, turning-pair connected robot arm. ASME Journal of Mechanisms, Transmission and Automation in Design, 1984, 106(3): 365–370

    Article  Google Scholar 

  2. Fichter E F, Hunt K H. The fecund torus, its bitangent-circles and derived linkages. Mechanism and Machine Theory, 1975, 10(2–3): 167–176

    Article  Google Scholar 

  3. Hansen J A, Gupta K C, Kazerounian S M K. Generation and evaluation of the workspace of a manipulator. International Journal of Robotics Research, 1983, 2(3): 22–31

    Article  Google Scholar 

  4. Roth B. Performance evaluation of manipulators from a kinematic viewpoint. NBS Special Publication on Performance Evaluation of Programmable Robots and Manipulators, 1975, 495: 39–61

    Google Scholar 

  5. Roth B. Analytical design of two-revolute open chains. In: Preprints of the Sixth CISM-IFTOMM Symposium on Theory and Practice of Robots and Manipulators. Cambridge: The MIT Press, 1986, 207–214

    Google Scholar 

  6. Ceccarelli M. On the workspace of 3R robot arms. In: Proceedings of the Fifth International IFToMM Symposium on Theory and Practice of Mechanisms, Bucharest, 1989, 37–46

  7. Ceccarelli M. A synthesis algorithm for three-revolute manipulators by using an algebraic formulation of workspace boundary. ASME Journal of Mechanical Design, 1995, 117(2A): 298–302

    Article  Google Scholar 

  8. Ottaviano E, Husty M, Ceccarelli M. Identification of the workspace boundary of a general 3-R manipulator. ASME Journal of Mechanical Design, 2006, 128(1): 236–242

    Article  Google Scholar 

  9. Ceccarelli M, Vinciguerra A. On the workspace of general 4R manipulators. International Journal of Robotics Research, 1995, 14(2): 152–160

    Article  MATH  Google Scholar 

  10. Ceccarelli M. A formulation for the workspace boundary of general N-revolute manipulators. Mechanism and Machine Theory, 1996, 31(5): 637–646

    Article  Google Scholar 

  11. Tsai Y C, Soni A H. An algorithm for the workspace of a general n-R Robot. ASME Journal of Mechanisms, Transmissions and Automation in Design, 1983, 105(1): 52–57

    Article  Google Scholar 

  12. Lee T W, Yang D C H. On the evaluation of manipulator workspace. ASME Journal of Mechanisms, Transmissions and Automation in Design, 1987, 105(1): 70–77

    Article  Google Scholar 

  13. Alciatore D G. Ng C D. Determining manipulator workspace boundaries using the Monte-Carlo method and least square segmentation. In: Proceedings of the ASME Design Technical Conference, Minneapolis, Minnesota, 1994, 141–146

  14. Hsu M S, Kohli D. Boundary surfaces and accessibility regions for regional structures of manipulators. Mechanism and Machine Theory, 1987, 22(3): 277–289

    Article  Google Scholar 

  15. Jo D Y, Haug E J. Workspace analysis of multibody mechanical systems using continuation methods. ASME Journal of Mechanisms, Transmissions and Automation in Design, 1989, 111(4): 581–589

    Article  Google Scholar 

  16. Ceccarelli M, Lanni C. A multi-objective optimum design of general 3R manipulators for prescribed workspace limits. Mechanism and Machine Theory, 2004, 39(2): 119–132

    Article  MATH  MathSciNet  Google Scholar 

  17. Bergamaschi P R, Nogueira A C, Saramago S F P. Design and optimization of 3R manipulators using the workspace features. Applied Mathematics and Computation, 2003, 172(1): 439–463

    Article  MathSciNet  Google Scholar 

  18. Mavroidis C, Alam M, Lee E. Analytic geometric design of spatial R-R robot manipulators. In: Proceedings of the 2000 ASME Mechanisms and Robotics Conference, Baltimore, 2000

  19. Carbone G, Ottaviano E, Ceccarelli M. An optimization problem approach for designing both serial and parallel manipulators. In: Proceedings of the Institution of Mechanical Engineers. Part C, Journal of Mechanical Engineering Science, 2007, 7: 829–843

    Article  Google Scholar 

  20. Wenger P. Some guidelines for the kinematic design of new manipulators. Mechanism and Machine Theory, 1999, 35(3): 437–449

    Article  Google Scholar 

  21. Gupta K C, Roth B. Design considerations for manipulator workspace. ASME Journal of Mechanical Design, 1982, 104(4): 704–711

    Article  Google Scholar 

  22. Ceccarelli M. Design two-revolute manipulators for prescribed feasible workspace regions. ASME Journal of Mechanical Design, 2002, 124(3): 427–434

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Conghui Liang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, C., Ceccarelli, M. Feasible workspace regions for general two-revolute manipulator. Front. Mech. Eng. 6, 397–408 (2011). https://doi.org/10.1007/s11465-011-0228-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11465-011-0228-9

Keywords

Navigation