Skip to main content

Function Generation Synthesis with Planar 4-Bar Linkage as a Mixed Problem of Correlation of Crank Angles and Dead-Center Design

  • Conference paper
  • First Online:
Book cover Recent Advances in Mechanisms, Transmissions and Applications (MeTrApp 2019)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 79))

Abstract

The function generation synthesis of planar four-bar linkage is formulated as a mixed problem of correlation or crank angles and dead-center design. The synthesis is based on three desired configurations of the linkage, where the input and output joint angles are specified for two of the configurations and the coupler link is folded upon the output link for the third configuration. The formulation results in a set of nonlinear equations which can be solved analytically. The formulations are tested with numerical examples and similar mixed function generation problems are briefly discussed.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Söylemez, E.: Mechanisms, 5th edn. METU Press, Ankara (2018)

    MATH  Google Scholar 

  2. Hartenberg, R.S., Denavit, J.: Kinematic Synthesis of Linkages. McGraw-Hill, New York (1964)

    MATH  Google Scholar 

  3. Sandor, G.N., Erdman, A.G.: Advanced Mechanism Design: Analysis and Synthesis, vol. II. Prentice Hall, New Jersey (1984)

    Google Scholar 

  4. McCarthy, J.M., Soh, G.S.: Geometric Design of Linkages, 2nd edn. Springer, New York (2011)

    Book  Google Scholar 

  5. Hall, A.S.: Kinematics and Linkage Design. Prentice-Hall, Englewood Cliffs (1961)

    Book  Google Scholar 

  6. Norton, R.L.: Design of Machinery, 6th edn. McGraw-Hill, Boston (2019)

    Google Scholar 

  7. Mallik, A.K., Ghosh, A., Dittrich, G.: Kinematic Analysis and Synthesis of Mechanisms. CRC Press, Boca Raton (1994)

    Google Scholar 

  8. Pennestrì, E., Valentini, P.P.: A review of simple analytical methods for the kinematic synthesis of four-bar and slider-crank function generators for two and three prescribed finite positions. In: Buletin Stiintific Seria Mecanica Aplicata, pp. 128–143. University of Pitesti, Pitești, (2009)

    Google Scholar 

  9. Freudenstein, F.: An analytical approach to the design of four-link mechanisms. Trans. ASME 76, 483–492 (1954)

    MathSciNet  Google Scholar 

Download references

Acknowledgment

The authors thank to Prof. Eres Söylemez for his comments and suggestions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gökhan Kiper .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kiper, G., Erez, M. (2020). Function Generation Synthesis with Planar 4-Bar Linkage as a Mixed Problem of Correlation of Crank Angles and Dead-Center Design. In: Wang, D., Petuya, V., Chen, Y., Yu, S. (eds) Recent Advances in Mechanisms, Transmissions and Applications. MeTrApp 2019. Mechanisms and Machine Science, vol 79. Springer, Singapore. https://doi.org/10.1007/978-981-15-0142-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-0142-5_5

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0141-8

  • Online ISBN: 978-981-15-0142-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics