Skip to main content
SpringerLink
Log in

The existence and uniqueness of the screw tensor for the finite displacement of a rigidbody

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The existence and uniqueness theorem of the screw tensor for the finite displacement of a rigidbody is proposed and then proved using the screw calculus. As a consequence, formulae are obtained for determining the screw tensor in terms of the finite displacement data of the rigidbody.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dimentberg,F., The Theory of Screws and its Applications, Nauka, Moscow, (1978). (in Russian)

    Google Scholar 

  2. Roth,R., The kinematics of motion through finitely separated positions, J. Appl. Mech., Vol. 34, No. 3, Trans. ASME, Series E, Col. 89, (1967), pp. 591–598.

    Google Scholar 

  3. Roth,B., Finite position theory applied to mechanism synthesis, J. Appl. Mech., Vol. 34, No. 3, Trans. ASME, Series E., Vol. 89, (1967), pp. 599–605.

    Google Scholar 

  4. Roth, B., On the screw axis and other special lines associated with spatial displacements of a rigid body, J. Eng. for Ind., Trans. ASME Series B, Vol. 89, No. 1, (1967), pp. 102–110.

    Google Scholar 

  5. Wittaker,E.T., A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, (1937).

  6. Pars,L.A., A Treatise on Analytical Dynamics, Heinemann, London, (1965).

    Google Scholar 

  7. Gibbs,J.W. and E.B. Wilson, Vector Analysis, Charles Scribner's Son, (1909), (Dover Publication, 1960).

  8. Yu Xin, Foundation of Rigidbody Mechanics, South China Institute of Technology, (1981).

  9. Yu Xin, On the Application of Screw Calculus to the Mechanics of Spatial Mechanisms, (an analysis of the general five-link mechanism with screw pairs). (to be published by the symposium on “Applied Mathematics and Mechanics”)

  10. Yu Xin, The Mechnaics of Mechanical Manipulators with six Degrees of Freedom —An analysis by Means of the Screw Calculus. (to be published)

  11. Tsai,W.L. and E.Roth, Incompletely Specified Displacements: Geometry and Spatial Linkage Synthesis, J. Eng. for Ind., Trans, ASME, Series B, Vol. 95, (1973), pp. 603–611.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. South China Institute of Technology, China

    Yu xin

Authors
  1. Yu xin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

xin, Y. The existence and uniqueness of the screw tensor for the finite displacement of a rigidbody. Appl Math Mech 5, 1325–1332 (1984). https://doi.org/10.1007/BF01904955

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01904955

Keywords

Search

Navigation