Skip to main content
Log in

The design of kinematic chains based on the principle of invariable terminal constraints

  • Original Article
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This paper presents a systematic method to analyze the design of kinematic chains based on the invariable principle of terminal constraints. According to the reciprocal screw theory, the terminal constraints of a kinematic chain are decided by the maximal independent set of the kinematic screws. Therefore, the optimum kinematic chain can be obtained through algebraic analysis with the given terminal constraints.

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. Stewart D (1965) A platform with six degrees of freedom. Proc Inst Mech Eng Part I. 180(15):371–386

    Google Scholar 

  2. Merlet JP (1987) Parallel manipulators. Part I: theory, design, kinematics, dynamics and control. Technical Report, No. 646, INRIA,

    Google Scholar 

  3. Dasgupta B, Mruthyunjaya TS (2000) The Stewart platform manipulator: a review. Mech Mach Theory 35(1):15–40

    Article  Google Scholar 

  4. Phillips J (1984) Freedom in machinery. Introducing screw theory, vol 1. Cambridge University Press, Cambridge

  5. Hunt KH (1978) Kinematic geometry of mechanisms. Oxford University Press, Oxford

  6. Ball RS (1900) A treatise on the theory of screws. Cambridge University Press, Cambridge

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jing-Shan Zhao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, JS., Feng, ZJ., Zhou, K. et al. The design of kinematic chains based on the principle of invariable terminal constraints. Int J Adv Manuf Technol 26, 138–143 (2005). https://doi.org/10.1007/s00170-003-1967-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-003-1967-5

Keywords

Navigation