Skip to main content
Log in

Construction of a Singularity Zone for a Type of Mechanisms with Parallel Structure

  • MECHANICS OF MACHINES
  • Published:
Journal of Machinery Manufacture and Reliability Aims and scope Submit manuscript

Abstract

This paper presents a mechanism with parallel structure that is classified to the class of l‑coordinate mechanisms. The section of the singularity zone (of the zone of singular positions) is determined for this mechanism. The section is constructed at a constant orientation of the output linkage.

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.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.

Similar content being viewed by others

REFERENCES

  1. Ganiev, R.F., On the current state and the future prospects of the Institute of Machine Science, Russian Academy of Sciences, and problems of the mechanics of machines and breakthrough technologies, J. Mach. Manuf. Reliab., 2014, vol. 43, pp. 188–210.

    Article  Google Scholar 

  2. Kalyaev, I.A. and Kapustyan, S.G., Group control of robots: Problems and solutions, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 2011, no. 12, p. 7.

  3. Lopota, A.V. and Spasskii, B.A., Robotics. A view of the future, Mekhatronika, Avtom., Upr., 2017, vol. 18, no. 9, p. 612.

    Google Scholar 

  4. Vorob’ev, E.I., Mikheev, A.V., and Morgunenko, I.O., Artificial arm control by foot and leg action, J. Mach. Manuf. Reliab., 2017, vol. 46, pp. 63–66.

    Article  Google Scholar 

  5. Vorob’ev, E.I., Implementation of a given relative motion of two rigid bodies by a two-handed robot, Mekh. Tverd. Tela, 2018, no. 2, p. 122.

  6. Stewart, D., A platform with six degrees of freedom, Proc. Inst. Mech. Eng. (London), 1965, vol. 180, part 1, no. 15, p. 371.

  7. Hunt, K., Structural kinematics of in-parallel-actuated robot arms, ASME J. Mech. Transm. Autom. Des., 1983, vol. 105, p. 705.

    Article  Google Scholar 

  8. Merlet, J.-P., Singular configurations of parallel manipulators and Grassman geometry, Int. J. Rob. Res., 1989, vol. 8, no. 5, p. 45.

    Article  Google Scholar 

  9. Gosselin, C. and Andjeles, J., Singularity analysis of closed loop kinematic chains, IEEE Trans. Rob. Res., 1990, vol. 6, no. 3, p. 281.

    Google Scholar 

  10. Glazunov, V.A., Koliskor, A.Sh., and Krainev, A.F., Prostranstvennye mekhanizmy parallel’noi struktury (Spatial Mechanisms of Parallel Structure), Moscow: Nauka, 1991.

  11. Kheilo, S.V., Structural-geometric analysis of a spherical manipulator of parallel structure, Sprav., Inzh. Zh., 2012, no. 2, p. 9.

  12. Glazunov, V.A., Gruntovich, R.M., Belousov, A.V., and Chu Tsuan Nam, Determination of groups of linearly dependent screws in special positions of mechanisms of parallel structure, Probl. Mashinostr. Nadezhnosti Mash., 2006, no. 3, p. 30.

  13. Glazunov, V.A., Mekhanizmy parallel’noi struktury i ikh primenenie: Robototekhnicheskie, tekhnologicheskie, meditsinskie, obuchayushchie sistemy (Parallel Structure Mechanisms and Their Application: Robotic, Technological, Medical, and Educational Systems), Moscow–Izhevsk: Inst. Komp’yut. Issl., 2018.

  14. Gebel’, E.S. and Glazunov, V.A., Determination of the mutual correspondence of the kinematic screw of the output link and the screw-gradient in a special position of the parallel structure mechanism, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 2017, no. 7, p. 3.

  15. Dimentberg, F.M., Teoriya prostranstvennykh sharnirnykh mekhanizmov (The Theory of Spatial Hinge Mechanisms), Moscow: Nauka, 1982.

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to L. V. Gavrilina or S. M. Demidov.

Ethics declarations

The authors declare that they have no conflict of interest.

Additional information

Translated by E. Oborin

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gebel’, E.S., Gavrilina, L.V., Glazunov, V.A. et al. Construction of a Singularity Zone for a Type of Mechanisms with Parallel Structure. J. Mach. Manuf. Reliab. 49, 907–913 (2020). https://doi.org/10.3103/S1052618820110047

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1052618820110047

Keywords:

Navigation