Skip to main content

A Three-dof Tripod for Generating Spherical Rotation

  • Chapter
Advances in Robot Kinematics

Abstract

A novel three degree-of-freedom manipulator, which includes three in-parallel limbs between a fixed frame and a platform that moves by spherical rotation about a fixed point, is described. This mechanism is not overconstrained and has the structural type of the translational Tsai platform. Each limb is a sequence of a universal joint, a prismatic pair and a universal joint (UPU). The spherical rotation of the moving platform is obtained by variation of length in the linear actuators that are mounted on the prismatic pairs of the three limbs. Under some geometric constraint changes, we obtain a generalised structure of the mechanism. This arrangement belongs to a more general family of mechanisms, which is presented succinctly and can be obtained from deductive reasoning.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Arai, T., HervĂ©, J.M. and Tanikawa, T. (1996), Development of 3 DOF Micro Finger, Proc. IROS 96, IEEE, pp. 981–987.

    Google Scholar 

  • Asada, H., Granito C. (1985), Kinematic and static characterization of wrist joints and their optimal design, IEEE Int. Conf. On Robotics and Automation, St Louis, pp. 244–250.

    Google Scholar 

  • Ball, R.S. (1900), A Treatise on the Theory of Screws, new edition Cambridge University Press, 1998.

    Google Scholar 

  • Clavel, R. (1988), Delta a fast robot with parallel geometry, Proc. Int. Symposium on Industrial Robots, pp. 91–100.

    Google Scholar 

  • Clavel, R. (1985), Device for displacing and positioning an element in space, PCT patent application, WO 87/03528.

    Google Scholar 

  • Di Gregorio, R., Parenti-Castelli, V. (1998), A Translational 3-DOF parallel manipulator, Advances in Robot Kinematics: Analysis and Control, (J. Lenarcic and M. L. Husty, eds), Kluwer Academic Publishers, pp. 49–58.

    Google Scholar 

  • Di Gregorio, R., Parenti-Castelli, V. (1999), Influence of leg flexibility on the kinetostatic behaviour of a 3-dof fully parallel manipulator, Proc. Tenth World Congress on the Theory of Machines and Mechanisms, Oulu, Finland

    Google Scholar 

  • Gosselin, C., Hamel, J.F. (1994), The agile eye: a high performance three-degree-offreedom camera-orienting device, IEEE Int. Conference on Robotics and Automation, San Diego, pp. 781–787.

    Google Scholar 

  • Gosselin, C, Angeles, J. (1989), The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator, ASME Journal of Mechanics, Transmission and Automation in Design, vol. 111, no. 2, pp.202–207.

    Article  Google Scholar 

  • Hayward, V., Kurtz, R. (1989), Preliminary study of serial-parallel redundant manipulator, in NASA Conference on Space Telerobotics,, Pasadena, pp.39–48.

    Google Scholar 

  • HervĂ©, J.M. (1999), The Lie group of rigid body displacements, a fundamental tool for mechanism design, Mechanism and Machine Theory, 34, pp. 719–730.

    Article  MathSciNet  MATH  Google Scholar 

  • HervĂ©, J.M., Sparacino, Fl. (1991), Structural synthesis of parallel robots generating spatial translation, 5 th ICAR, IEEE n°91TH0367–4, vol. 1, pp. 808–813.

    Google Scholar 

  • HervĂ©, J.M., Sparacino, Fl. (1992), Star, a new concept in robotics’, 3 rd ARK Ferrara, Italy, pp. 176–183.

    Google Scholar 

  • HervĂ©, J.M. (1992), Group mathematics and parallel link mechanisms, Proceedings of the IMACS SICE International Symposium on Robotics, Mechatronics and Manufacturing Systems, Kobe, Japan, pp. 459–464.

    Google Scholar 

  • HervĂ©, J.M. (1978), Analyse structurelle des mĂ©canismes par groupe des dĂ©placements, Mechanism and Machine Theory, 13 (4) pp. 437–450.

    Article  Google Scholar 

  • Larochelle, P.M. (1995) Design of 3-dof spherical robotic mechanisms, In the 9th World Congress on the Theory of Machines and Mechanisms, Milan, pp. 1826–1830.

    Google Scholar 

  • Lee, K.M., Shah, D. K. (1987), Kinematic analysis of a three degrees of freedom in-parallel actuated manipulator, Proceedings of the 1987 IEEE International Conference on Robotics and Automation, vol. 1, pp. 345–350.

    Google Scholar 

  • Leguay-Durant, S., Reboulet, C. (1997), Optimal design of redundant spherical manipulator, Robotica, 15(4) pp. 399–405.

    Article  Google Scholar 

  • Merlet, J.P. (1997), Les robots parallèles, Hermes, Paris 1997.

    Google Scholar 

  • Parenti-Castelli, V., Di Gregorio, R., Lenarcic, J. (1998), Sensitivity to geometric parameter variation of a 3-dof fully-parallel manipulator, ICAM’98, Okayama, Japan.

    Google Scholar 

  • Stamper, R.E., Tsai, L.W., Walsh, G.C. (1997), Optimization of a three DOF Translational Platform Well-Conditioned Workspace, IEEE Int’l. Conf. on Robotics and Automation, paper No. A1-MF_0025.

    Google Scholar 

  • Tsai, L.W. (1996), Kinematics of a three-dof platform with three extensible limbs, Recent Advances in Robot Kinematics, Kluwer Academic Publishers, pp. 401–410.

    Google Scholar 

  • Tsai, L.W. (1999), The enumeration of a class of three-dof parallel manipulators, Proc. Tenth World Congress on the Theory of Machine and Mechanisms, Oulu, Finland, pp. 1121–1126.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Karouia, M., Hervé, J.M. (2000). A Three-dof Tripod for Generating Spherical Rotation. In: Lenarčič, J., Stanišić, M.M. (eds) Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4120-8_41

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4120-8_41

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5803-2

  • Online ISBN: 978-94-011-4120-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics