Skip to main content

A Simple NURBS Finite Element for 2D Sloshing Analysis

  • Conference paper
  • First Online:
Recent Advances in Structural Engineering, Volume 1

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 11))

  • 1757 Accesses

Abstract

A simple and accurate Non-Uniform Rational B-Spline (NURBS) based Finite Element (FE) is proposed for examining the dynamic characteristics of a partially liquid-filled rigid container. The present NURBS-FE is founded on a variational problem that arises from small amplitude sloshing of incompressible and inviscid liquid where the flow field is assumed to be irrotational. The superiority of Ck-NURBS-based FE over conventional C0-FE in terms of accuracy and robustness is witnessed through solving a set of numerical problems.

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. Aslam, M., Godden, W. G., & Scanlinell, D. T. (1979). Earthquake sloshing in annular and cylindrical tanks. Journal of Engineering and Mechanics Division, 105, 371–389.

    Google Scholar 

  2. Bauer, H. F., & Eidel, W. (1999). Frictionless liquid sloshing in circular cylindrical container configurations. Journal of Aerospace Science and Technology, 3, 301–311.

    Article  Google Scholar 

  3. Okamoto, T., & Kawahara, M. (1990). Two-dimensional sloshing analysis by Lagrangian finite element method. International Journal for Numerical Methods in Fluids, 11(5), 453–477.

    Article  Google Scholar 

  4. Wu, G. X., & Taylor, R. E. (1994). Finite element analysis of two dimensional nonlinear transient water waves. Journal of Applied Ocean Research, 16, 363–372.

    Article  Google Scholar 

  5. Tokuda, N., Sakurai, T., & Teraoku, T. (1995). Sloshing analysis method using existing FEM structural analysis code. Journal of Pressure Vessel Technology, 117(3), 268–272.

    Article  Google Scholar 

  6. Chen, W., Haroun, M. A., & Liu, F. (1996). Large amplitude liquid sloshing in seismically excited tanks. Journal of Scientific & Industrial Research, 25, 653–669.

    Google Scholar 

  7. Solaas, F., & Faltinsen, O. M. (1997). Combined numerical and analytical solution for sloshing in two-dimensional tanks of general shape. Journal of Ship Research, 41(2), 118–129.

    Google Scholar 

  8. Gedikli, A., & Ergüven, M. E. (1999). Seismic analysis of a liquid storage tank with a baffle. Journal of Sound and Vibration, 223(1), 141–155.

    Article  Google Scholar 

  9. Saeki, S., Madarame, H., & Okamoto, K. (1999). Growth mechanism of self-induced sloshing caused by horizontal plane jet. In Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM (pp. 18–23), Vol. 99.

    Google Scholar 

  10. Dutta, S., & Laha, M. K. (2000). Analysis of the small amplitude sloshing of a liquid in a rigid container of arbitrary shape using a low-order boundary element method. International Journal for Numerical Methods in Engineering, 47, 1633–1648.

    Article  Google Scholar 

  11. Cho, J. R., Lee, H. W., & Kim, K. W. (2002). Free vibration analysis of baffled liquid-storage tanks by the structural-acoustic finite element formulation. Journal of Sound and Vibration, 258, 847–866.

    Article  Google Scholar 

  12. Cottrell, J. A., Hughes, T. J. R., & Bazilevs, Y. (2009). Isogeometric analysis toward integration of CAD and FEA. United Kingdom: Wiley Publication.

    Book  Google Scholar 

  13. Ibrahim, R. A. (2005). Liquid sloshing dynamics theory and applications. New York: Cambridge University Press.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shaikh Jahangir Hossain .

Editor information

Editors and Affiliations

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

Mandal, M., Hossain, S.J. (2019). A Simple NURBS Finite Element for 2D Sloshing Analysis. In: Rao, A., Ramanjaneyulu, K. (eds) Recent Advances in Structural Engineering, Volume 1. Lecture Notes in Civil Engineering , vol 11. Springer, Singapore. https://doi.org/10.1007/978-981-13-0362-3_46

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-0362-3_46

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0361-6

  • Online ISBN: 978-981-13-0362-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics