Skip to main content
Log in

Optimum design method for four-bar function generators

  • Technical Note
  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

This note uses the closure error function of Freudenstein's equation for a four-bar linkage to determine the initial dimensions of the links of a path-generating mechanism. The sum of the absolute values of the errors of the output angles is then taken as the cost function for optimization. Successive one-dimensional optimization in the coordinate directions is then used for the design of four-bar function generators. This method is simpler than other methods, and the work of calculation is less than for other methods.

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. Freudenstein, F.,Approximate Synthesis of Four-Bar Linkages, Transactions of the ASME, Vol. 77, pp. 853–861, 1955.

    Google Scholar 

  2. Rao, A. C.,Optimum Design of Four-Bar Function Generators with Minimum Variance Criterion, Journal of Optimization Theory and Applications, Vol. 29, No. 1, 1979.

  3. Sutherland, G. H., andRoth, B.,An Improved Least-Squares Method for Designing Function-Generating Mechanisms, ASME Paper No. 74-DET-30, 1974.

  4. Chen, F. Y., andChan, V. L.,Dimensional Synthesis of Mechanisms for Function Generator Using Marguardt's Compromise, Journal of Engineering for Industry, Vol. 96, pp. 131–137, 1974.

    Google Scholar 

  5. Tucker, R. H., andBose, J. E.,The Use of Time-Sharing Systems for the Design of Four-Bar Mechanisms, Proceedings of the Applied Mechanisms Conference, Oklahoma State University, Stillwater, Oklahoma, pp. 151–155, 1969.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by E. J. Haug, Jr.

Many discussions with Associate Professor F. Y. Li, Department of Mechanical Engineering, Tianjin College of Light Industry, are gratefully acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sun, W. Optimum design method for four-bar function generators. J Optim Theory Appl 38, 287–293 (1982). https://doi.org/10.1007/BF00934089

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00934089

Key Words

Navigation