Skip to main content
SpringerLink
Log in

Curved Structures That Can Elastically Snap-Through

  • Conference paper
  • First Online:
Nonlinear Dynamics, Volume 1

  • 1720 Accesses

Abstract

Curved structures, such as beams, arches and panels are capable of exhibiting snap-through buckling behavior when loaded laterally. However, the propensity to maintain a stable snapped-through equilibrium position (in addition to the nominally unloaded equilibrium configuration) after the load is removed depends on certain geometric properties. A number of clamped arches are used to illustrate the relation between geometry (thickness, span, initial deflection) and the corresponding equilibrium configuration(s). The finite element method and an elastica analysis compare well with a number of specifically-shaped arches produced using a 3D printer.

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

Access this chapter

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 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. Fung, Y.-C., Kaplan, A.: Buckling of low arches or curved beams of small curvature, Technical note 2840, National Advisory Committee for Aeronautics (1952)

    Google Scholar 

  2. Virgin, L.N., Guan, Y., Plaut, R.H.: On the geometric conditions for multiple stable equilibria in clamped arches. Int. J. Non Linear Mech. 92, 8–14 (2017)

    Article  Google Scholar 

  3. Hsu, C.S.: Equilibrium configurations of a shallow arch of arbitrary shape and their dynamic stability character. Int. J. Non Linear Mech. 3, 113–136 (1968)

    Article  Google Scholar 

  4. Virgin, L.N., Wiebe, R., Spottswood, S.M., Eason, T.G.: Sensitivity in the structural behavior of shallow arches. Int. J. Non Linear Mech. 58, 212–221 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA

    Lawrence N. Virgin & Yue (Susan) Guan

  2. Department of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA, USA

    Raymond H. Plaut

Authors
  1. Lawrence N. Virgin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yue (Susan) Guan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Raymond H. Plaut
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lawrence N. Virgin .

Editor information

Editors and Affiliations

  1. Mechanical Engineering, S3L, Quartier Polytech, University of Liege, Department of Aerospace, Liege, Belgium

    Gaetan Kerschen

Rights and permissions

Reprints and permissions

Copyright information

© 2019 The Society for Experimental Mechanics, Inc.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Virgin, L.N., Guan, Y.(., Plaut, R.H. (2019). Curved Structures That Can Elastically Snap-Through. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74280-9_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-74280-9_28

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74279-3

  • Online ISBN: 978-3-319-74280-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation