Skip to main content
SpringerLink
Log in
Book cover

Machines, Mechanism and Robotics pp 571–583Cite as

Non-dimensionalized Feasibility Maps for Designing Compliant Mechanisms

  • Conference paper
  • First Online:

  • 2168 Accesses

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

A Spring-Lever (SL) model with two degrees of freedom is a lumped model for a single-input-single-output (SISO) compliant mechanism just as a spring is a single degree-of-freedom model for an elastic structure under one load. Three parameters of an SL model help visualize compliant mechanisms in a database juxtaposed with a feasible map constructed using quantitative specifications of a given design problem. In the past work, this approach is shown to be effective in selection and re-design based method of designing compliant mechanisms. This work extends the method to designing compliant mechanisms at multiple length scales through non-dimensionalization of two stiffness parameters in the SL model. Nonlinear large-displacement behavior of compliant mechanisms and user-specifications are accurately captured in non-dimensionalized stiffness maps. After describing the procedure for constructing non-dimensionalized stiffness maps, the method of designing compliant mechanisms using the maps is illustrated through examples and case-studies.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   99.99
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

Learn about institutional subscriptions

References

  1. L.L. Howell, A. Midha, Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms. J. Mech. Des. 117(1), 156 (1995), https://doi.org/10.1115/1.2826101

  2. M.I. Frecker, G.K. Ananthasuresh, S. Nishiwaki, N. Kikuchi, S. Kota, Topological synthesis of compliant mechanisms using multi-criteria optimization. J. Mech. Des. 119(2), 238–245 (1997)

    Google Scholar 

  3. A. Saxena, G.K. Ananthasuresh, On an optimal property of compliant topologies. Struct. Multi. Optim. 19(1), 36–49 (2000)

    Google Scholar 

  4. S.R. Deepak, M. Dinesh, D. Sahu, G.K. Ananthasuresh, A comparative study of the formulations and benchmark problems for the topology optimization of compliant mechanisms. ASME J. Mech. Robot. 1(1), 20–27 (2008)

    Google Scholar 

  5. S. Hegde, G.K. Ananthasuresh, Design of single-input-single-output compliant mechanisms for practical applications using selection maps. J. Mech. Des. 132(8), 081007 (2010)

    Article  Google Scholar 

  6. S. Hegde, G.K. Ananthasuresh, A spring-mass-lever model, stiffness and inertia maps for single-input, single-output compliant mechanisms. Mech. Mach. Theor. 58, 101–119 (2012)

    Google Scholar 

  7. C.J. Kim, Y.M. Moon, S. Kota, A building block approach to the conceptual synthesis of compliant mechanisms utilizing compliance and stiffness ellipsoids. J. Mech. Des. 130(2) 022308 (2008)

    Google Scholar 

  8. G. Krishnan, C.J Kim, S. Kota, An intrinsic geometric framework for the building block synthesis of single point compliant mechanisms, J. Mech. Robot. 3(1), 011001 (2011)

    Google Scholar 

  9. G. Krishnan, C.J. Kim, S. Kota, A kinetostatic formulation for load-flow visualization in compliant mechanisms. J. Mech. Robot. 5(2), 021007 (2013)

    Google Scholar 

  10. G. Krishnan, C.J. Kim, S. Kota, Transmitter constraint sets: part II—a building block method for the synthesis of compliant mechanisms, in Proceedings of 2010 ASME International Design Engineering Technical Conferences and, Computers and Information in Engineering Conferences, ASME

    Google Scholar 

  11. L.L. Howell, S. Magleby, Handbook of Compliant Mechanisms (Wiley, 2013)

    Google Scholar 

  12. M.Y. Wang, A kinetoelastic formulation of compliant mechanism optimization. J. Mech. Robot. 1(2), 021011 (2009)

    Article  Google Scholar 

  13. M.F. Ashby, K. Johnson, Materials and Design: The Art and Science of Material Selection in Product Design (Butterworth-Heinemann, 2013)

    Google Scholar 

  14. R.H. Burns, F.R. Crossley, Kinetostatic synthesis of flexible link mechanisms. in Mechanical Engineering, vol. 90 (11. 345 E 47th St, New York, Ny 10017: ASME-AMER Soc Mechanical Eng, 1968)

    Google Scholar 

  15. R. Frisch-Fay, Flexible Bars (Butterworths, 1962)

    Google Scholar 

  16. S.D.B. Bhargav, H.I. Varma, G.K. Ananthasuresh, Non-dimensional kinetoelastostatic maps for compliant mechanisms, in ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Paper No. DETC, vol. 12178 (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering, National Institute of Technology Tiruchirappalli, Tiruchirappalli, India

    Kishor K. S. Bharadwaj & T. Ramesh

  2. Mechanical Engineering, Indian Institute of Science, Bengaluru, India

    G. K. Ananthasuresh

Authors
  1. Kishor K. S. Bharadwaj
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Ramesh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. K. Ananthasuresh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. Ramesh .

Editor information

Editors and Affiliations

  1. Division of Remote Handling and Robotics, Bhabha Atomic Research Centre (BARC), Mumbai, India

    D N Badodkar

  2. Division of Remote Handling and Robotics, Bhabha Atomic Research Centre (BARC), Mumbai, India

    T A Dwarakanath

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bharadwaj, K.K.S., Ramesh, T., Ananthasuresh, G.K. (2019). Non-dimensionalized Feasibility Maps for Designing Compliant Mechanisms. In: Badodkar, D., Dwarakanath, T. (eds) Machines, Mechanism and Robotics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-8597-0_49

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-8597-0_49

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8596-3

  • Online ISBN: 978-981-10-8597-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation