Skip to main content
Log in

Kinematic analysis of bevel-gear trains using graphs

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The non-oriented and oriented graph techniques are used for kinematic analysis of bevel-gear trains. In both techniques, the kinematic structure of the gear trains is represented by a graph. Although the non-oriented graphs are simple to draw, they are used only to determine the carrier nodes of the fundamental circuits. On the other hand, the oriented graphs carry more information than the non-oriented graphs since each line in an oriented graph represents a pair of complementary variables. In this paper, these two techniques are compared and the advantages of the oriented graph technique are demonstrated by the kinematic analysis of an articulated robotic mechanism used by the Cincinnati Milacron T3.

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

  • Freudenstein, F.: An application of boolean algebra to the motion of epicyclic drives. ASME J. Eng. Ind. 93, 176–182 (1971).

    Google Scholar 

  • Freudenstein, F., Yang, A. T.: Kinematics and statics of coupled epicyclic spur-gear trains. Mechanism Machine Design 7, 263–275 (1972).

    Google Scholar 

  • Tsai, L.W.: The kinematics of spatial robotic bevel-gear trains. IEEE J. Robotics Automation 4, 150–155 (1988).

    Google Scholar 

  • Koenig, H. E., Blackwell, W. A.: Electromechanical system theory. New York: McGraw-Hill 1961.

  • Koenig, H. E., Tokad, Y., Kesevan, H. K.: Analysis of discrete physical systems. New York: McGraw-Hill 1967.

  • Koenig, H. E., Reed, M. B.: Linear-graph representation of multi-terminal elements. In: Proc. Natl. Electr. Conf., pp. 661–674, 1958.

  • Roe, P. H. O’N.: Networks and systems. Reading, Mass.: Addison Wesley 1966.

  • Chou, J. C. K., Kesevan, H. K., Singhal, K.: A systems approach to three-dimensional multibody systems using graph-theoretical model. IEEE Trans. Sys. Man. Cyber. SMC-12, 219–230 (1986).

    Google Scholar 

  • Tokad, Y.: A network model for rigid-body motion. Dynamics Control 2, 59–82 (1992).

    Google Scholar 

  • Uyguroglu, M., Tokad, Y.: Kinematic analysis of robotic bevel-gear trains: An application of network model approach. Meccanica 33, 177–194 (1998).

    Google Scholar 

  • Uyguroglu, M., Tokad, Y.: A dynamic model for the bendix wrist. Acta Mech. 133, 199–218 (1999).

    Google Scholar 

  • Stackhouse, T.: A new concept in wrist flexibility. In: Proc. 9th. Int. Symp. on Industrial Robots, pp. 589–599, Washington, D.C., 1979.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Uyguroğlu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Uyguroğlu, M., Demirel, H. Kinematic analysis of bevel-gear trains using graphs. Acta Mechanica 177, 19–27 (2005). https://doi.org/10.1007/s00707-005-0212-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-005-0212-8

Keywords

Navigation