Skip to main content

On a Compliant Mechanism Design Methodology Using the Synthesis with Compliance Approach for Coupled and Uncoupled Systems

  • Chapter
Advances in Mechanisms, Robotics and Design Education and Research

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 14))

Abstract

Compliant mechanisms are defined as those that gain some or all of their mobility from the flexibility of their members. Suitable use of pseudo-rigid-body models for compliant segments, and state-of-the-art knowledge of rigid-body mechanism synthesis types, greatly simplifies the design of compliant mechanisms. Starting with a pseudo-rigid-body four-bar mechanism, with one to four torsional springs located at the revolute joints to represent mechanism characteristic compliance, a simple, heuristic approach is provided to develop various compliant mechanism types. The synthesis with compliance method is used for three, four and five precision positions, with consideration of one to four torsional springs, to develop design tables for standard mechanism synthesis types. These tables reflect the mechanism compliance by specification of either energy or torque. The approach, while providing credible solutions, experiences some limitations. The method is not yet robust, and research is continuing to further improve it. Examples are presented to demonstrate the use of weakly or strongly coupled sets of kinematic and energy/torque equations, as well as different compliant mechanism types in obtaining solutions.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Midha, A., Her, I., Salamon, B.A.: A Methodology for Compliant Mechanism Design: Part I – Introduction and Large-Deflection Analysis. In: Advances in Design Automation, 18th ASME Design Automation Conference, DE-vol. 44(2), pp. 29–38 (1992)

    Google Scholar 

  2. Her, I., Midha, A., Salamon, B.A.: A Methodology for Compliant Mechanism Design: Part II – Shooting Method and Application. In: Advances in Design Automation, 18th ASME Design Automation Conference, DE-vol. 44(2), pp. 39–45 (1992)

    Google Scholar 

  3. Ananthasuresh, G.K.: A New Design Paradigm for Micro-Electro-Mechanical Systems and Investigations on Compliant Mechanisms Synthesis. Ph.D. Thesis University of Michigan Ann Arbor (1994)

    Google Scholar 

  4. Frecker, M.I., Ananthasuresh, G.K., Nishiwaki, N., Kikuchi, N., Kota, S.: Topological Synthesis of Compliant Mechanisms using Multi-Criteria Optimization. ASME Journal of Mechanical Design 119, 238–245 (1997)

    Article  Google Scholar 

  5. Sigmund, O.: On the Design of Compliant Mechanisms using Topology Optimization. Mechanics of Structures and Machines 25(4), 495–526 (1997)

    Article  Google Scholar 

  6. Saggere, L., Kota, S.: Synthesis of Planar, Compliant Four-Bar Mechanisms for Compliant-Segment Motion Generation. ASME Journal of Mechanical Design 123(4), 535–541 (2001)

    Article  Google Scholar 

  7. Mettlach, G.A., Midha, A.: Graphical Synthesis Techniques toward Designing Compliant Mechanisms. In: Proceedings of the 4th National Applied Mechanisms & Robotics Conference, vol. II, pp. 61-01 – 61-10 (1995)

    Google Scholar 

  8. Howell, L.L.: A Generalized Loop-Closure Theory for the Analysis and Synthesis of Compliant Mechanisms. Ph.D. Dissertation Purdue University (1993)

    Google Scholar 

  9. Howell, L.L., Midha, A.: A Generalized Loop-Closure Theory for the Analysis and Synthesis of Compliant Mechanisms. In: Pennock, G.R., et al. (eds.) Machine Elements and Machine Dynamics, 23rd Biennial Mechanisms Conference, vol. 71, pp. 491–500 (1994)

    Google Scholar 

  10. Su, H.J., McCarthy, J.M.: A Polynomial Homotopy Formulation of the Inverse Static Analysis of Planar Compliant Mechanisms. ASME Journal of Mechanical Design 128(4), 776–786 (2006)

    Article  MathSciNet  Google Scholar 

  11. Erdman, A.G., Sandor, G.N., Kota, S.: Mechanism Design - Analysis and Synthesis, vol. 1. Prentice Hall, New Jersey (2001)

    Google Scholar 

  12. Salamon, B.A.: Mechanical Advantage Aspects in Compliant Mechanism Design. MS Thesis, Purdue University (1989)

    Google Scholar 

  13. Howell, L.L., Midha, A.: A Method for the Design of Compliant Mechanisms with Small-Length Flexural Pivots. Journal of Mechanical Design Trans. ASME 116(1), 280–290 (1994)

    Article  Google Scholar 

  14. Howell, L.L.: The Design and Analysis of Large-Deflection Members in Compliant Mechanisms. MS Thesis, Purdue University (1991)

    Google Scholar 

  15. Howell, L.L.: Compliant Mechanisms. John Wiley and Sons, New York (2001)

    Google Scholar 

  16. Pauly, J., Midha, A.: Improved Pseudo-Rigid-Body Model Parameter Values for End-Force-Loaded Compliant Beams. In: Proceedings of the 28th Biennial ASME Mechanisms and Robotics Conference, Salt Lake City Utah, pp. DETC 2004-57580-1–57580-5 (2004)

    Google Scholar 

  17. Midha, A., Christensen, M.N., Erickson, M.J.: On the Enumeration and Synthesis of Compliant Mechanisms using the Pseudo-Rigid-Body Four-Bar Mechanism. In: Proceedings of the 5th National Applied Mechanisms & Robotics Conference, Cincinnati Ohio, vol. 2, pp. 93-0–93-08 (1997)

    Google Scholar 

  18. Mettlach, G.A., Midha, A.: Using Burmester Theory in the Design of Compliant Mechanisms. In: Proceedings of the 24th Biennial Mechanisms Conference, CD-ROM Paper No. 96-DETC: MECH-1181 (1996)

    Google Scholar 

  19. Hall Jr., A.S.: Notes on Mechanism Analysis. Waveland Press Inc. Prospect Heights Illinois (1981)

    Google Scholar 

  20. Norton, T.W.: On the Nomenclature and Classification, and Mobility of Compliant Mechanisms. MS Thesis, Purdue University (1991)

    Google Scholar 

  21. Annamalai, Y.: Compliant Mechanism Synthesis for Energy and Torque Specifications. MS Thesis, University of Missouri - Rolla (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ashok Midha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Midha, A., Annamalai, Y., Kolachalam, S.K., Bapat, S.G., Koli, A.B. (2013). On a Compliant Mechanism Design Methodology Using the Synthesis with Compliance Approach for Coupled and Uncoupled Systems. In: Kumar, V., Schmiedeler, J., Sreenivasan, S., Su, HJ. (eds) Advances in Mechanisms, Robotics and Design Education and Research. Mechanisms and Machine Science, vol 14. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00398-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-00398-6_8

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00397-9

  • Online ISBN: 978-3-319-00398-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics