Skip to main content

Stability of a Cantilevered Flexible Plate with Non-uniform Thickness in Viscous Channel Flow

  • Conference paper
  • First Online:
Fluid-Structure-Sound Interactions and Control

Abstract

Most studies analysing the instability of a cantilevered flexible plate in an axial flow are based on models assuming an inviscid flow and uniform properties for the plate. However, for some applications, such as biomechanical fluid-structure interaction (FSI) systems, these simplifications may not be valid due the scale of the problems and the non-uniform geometric and mechanical properties of the soft tissue. In this study, a parametric investigation is conducted to determine the conditions leading to flutter instability of a cantilevered flexible plate with a non-uniform thickness immersed in a two-dimensional viscous channel flow. It is shown that, depending on the mass ratio, the thinning and thickening of the plate free-end can stabilise or destabilise the FSI system and change the critical mode at instability onset.

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

Similar content being viewed by others

References

  • Balint TS, Lucey AD (2005) Instability of a cantilevered flexible plate in viscous channel flows. J Fluids Struct 20:893–912

    Article  Google Scholar 

  • Cisonni J, Elliott NSJ, Lucey AD, Heil M (2014) A compound cantilevered plate model of the palate-uvula system during snoring. In: Chowdhury H, Alam F (eds) 19th Australasian fluid mechanics conference, 8 Dec 2014. RMIT University, Melbourne, Australia

    Google Scholar 

  • Elliott NSJ, Lucey AD, Heil M, Eastwood PR, Hillman DR (2011) Modelling and simulation of fluid-structure interactions in human snoring. In: Chan F, Marinova D, Anderssen RS (eds) 19th International congress on modelling and simulation (MODSIM 2011), 12 Dec 2011, Perth, Australia. Modelling and Simulation Society of Australia and New Zealand Inc, pp 530–536

    Google Scholar 

  • Eloy C, Lagrange R, Souilliez C, Schouveiler L (2008) Aeroelastic instability of cantilevered flexible plates in uniform flow. J Fluid Mech 611:97–106

    Article  MathSciNet  MATH  Google Scholar 

  • Heil M, Hazel AL (2006) oomph-lib—an object-oriented multi-physics finite-element library. In: Schäfer M, Bungartz H-J (eds) Fluid-structure interaction. Springer, pp 19–49

    Google Scholar 

  • Tang L, Païdoussis MP, Jiang J (2009) Cantilevered flexible plates in axial flow: energy transfer and the concept of flutter-mill. J Sound Vibr 326:236–276

    Article  Google Scholar 

Download references

Acknowledgments

The authors gratefully acknowledge financial support of the WA State Center of Excellence in eMedicine (Project “Airway tomography instrumentation”). The work was supported by iVEC through the use of advanced computing resources located at iVEC@Murdoch.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Julien Cisonni .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cisonni, J., Lucey, A.D., Elliott, N.S.J. (2016). Stability of a Cantilevered Flexible Plate with Non-uniform Thickness in Viscous Channel Flow. In: Zhou, Y., Lucey, A., Liu, Y., Huang, L. (eds) Fluid-Structure-Sound Interactions and Control. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48868-3_53

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-48868-3_53

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48866-9

  • Online ISBN: 978-3-662-48868-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics