Skip to main content
SpringerLink
Log in

Numerical and experimental studies on reconfiguration of flexible beam with point buoyancy

  • Research
  • Published:
Journal of Ocean Engineering and Marine Energy Aims and scope Submit manuscript

Abstract

In nature and engineering, a uniform flexible beam with point buoyancy is common, such as water lily and stem, kelp, buoy and mooring, and deep-sea flexible riser. Response to a flexible beam with point buoyancy is more complicated than that of a flexible beam. Therefore, this paper conducts theoretical numerical and water tank drag experimental research on the drag reduction problem of flexible beams with point buoyancy. First, a governing equation with point buoyancy is established. Then, an explicit iterative numerical method is proposed to solve large geometric nonlinear differential equations. Finally, numerical and experimental methods studied the drag reduction phenomenon of flexible beams with point buoyancy. The results show that the reconfiguration shape of flexible beam with point buoyancy is no longer self-similar, and there are locally bending points in beam deformations. It is found that the Vogel exponent curve fluctuates due to the non-self-similarity of the deformation shape. Moreover, as the buoyancy gets more excellent, the fluctuation range of Vogel values becomes more profound.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

Data availability

The data of this paper can be provided according to the reader's requirements.

References

  • Alben S, Shelley M, Zhang J (2002) Drag reduction through self-similar bending of a flexible body. Nature 420(6915):479–481

    Article  Google Scholar 

  • Alben S, Shelley M, Zhang J (2004) How flexibility induces streamlining in a two-dimensional flow. Phys Fluids 16(5):1694–1713

    Article  Google Scholar 

  • Batchelor CK, Batchelor G (2000) An introduction to fluid dynamics. Cambridge University Press

    Book  Google Scholar 

  • Blevins, Robert D (1984). Applied fluid dynamics handbook. Van Nostrand Reinhold Co., Nostrand

  • Chakrabarti SK (2015) The Theory and Practice of Hydrodynamics and Vibration:, vol 20. World Scientific Pub Co Inc, Singapore

    Google Scholar 

  • De Langre E (2008) Effects of wind on plants. Annu Rev Fluid Mech 40:141–168

    Article  MathSciNet  Google Scholar 

  • De Langre E, Gutierrez A, Cossé J (2012) On the scaling of drag reduction by reconfiguration in plants. Comptes Rendus Mécanique 340(1–2):35–40

    Google Scholar 

  • De Langre E (2019) Plant vibrations at all scales: a review. J Exp Bot 70(14):3521–3531

    Article  Google Scholar 

  • Denny M (1994) Extreme drag forces and the survival of wind-and water-swept organisms. J Exp Biol 194(1):97–115

    Article  Google Scholar 

  • Etnier SA, Vogel S (2000) Reorientation of daffodil (Narcissus: Amaryllidaceae) flowers inwind: drag reduction andtorsional flexibility. Am J Bot 87(1):29–32

    Article  Google Scholar 

  • Gillies J, Nickling W, King J (2002) Drag coefficient and plant form response to wind speed in three plant species: Burning Bush (Euonymus alatus), Colorado Blue Spruce (Picea pungens glauca.), and Fountain Grass (Pennisetum setaceum). J Geophys Res Atmos 107(D24): ACL 10–11-ACL 10–15.

  • Gosselin F, de Langre E, Machado-Almeida BA (2010) Drag reduction of flexible plates by reconfiguration. J Fluid Mech 650:319–341

    Article  Google Scholar 

  • Henriquez S, Barrero-Gil A (2014) Reconfiguration of flexible plates in sheared flow. Mech Res Commun 62:1–4

    Article  Google Scholar 

  • Koehl M (1984) How do benthic organisms withstand moving water? Am Zool 24(1):57–70

    Article  MathSciNet  Google Scholar 

  • Koizumi A, Motoyama J-I, Sawata K, Sasaki Y, Hirai T (2010) Evaluation of drag coefficients of poplar-tree crowns by a field test method. J Wood Sci 56(3):189–193

    Article  Google Scholar 

  • Leclercq T, de Langre E (2016) Drag reduction by elastic reconfiguration of non-uniform beams in non-uniform flows. J Fluids Struct 60:114–129

    Article  Google Scholar 

  • Luhar M, Nepf HM (2011) Flow-induced reconfiguration of buoyant and flexible aquatic vegetation. Limnol Oceanogr 56(6):2003–2017

    Article  Google Scholar 

  • Martone PT, Kost L, Boller M (2012) Drag reduction in wave-swept macroalgae: Alternative strategies and new predictions. Am J Bot 99(5):806–815

    Article  Google Scholar 

  • Puijalon S, Bornette G, Sagnes P (2005) Adaptations to increasing hydraulic stress: morphology, hydrodynamics and fitness of two higher aquatic plant species. J Exp Bot 56(412):777–786

    Article  Google Scholar 

  • Rudnicki M, Mitchell SJ, Novak MD (2004) Wind tunnel measurements of crown streamlining and drag relationships for three conifer species. Can J for Res 34(3):666–676

    Article  Google Scholar 

  • Sand-Jensen K (2003) Drag and reconfiguration of freshwater macrophytes. Freshw Biol 48(2):271–283

    Article  Google Scholar 

  • Tickner EG, Sacks AH (1969) Engineering simulation of the viscous behavior of whole blood using suspensions of flexible particles. Circ Res 25(4):389

    Article  Google Scholar 

  • Vogel S (1989) Drag and Reconfiguration of Broad Leaves in High Winds. J Exp Bot 40(8):941–948

    Article  Google Scholar 

  • Vogel S (2015) Drag and Flexibility in Sessile Organisms1. Integr Comp Biol 24(1):37–44

    Google Scholar 

  • Zhu L (2008) Scaling laws for drag of a compliant body in an incompressible viscous flow. J Fluid Mech 607:387–400

    Article  Google Scholar 

  • Zhu L, Peskin CS (2007) Drag of a flexible fiber in a 2D moving viscous fluid. Comput Fluids 36(2):398–406

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA22000000). The authors are grateful for the assistance of the anonymous reviewers.

Author information

Authors and Affiliations

  1. Institute of Ocean Energy and Intelligent Construction, Tianjin University of Technology, No. 391 Bin Shui Xi Dao Road, Xiqing District, Tianjin, 300384, People’s Republic of China

    Jixiang Song

  2. Key Laboratory for Mechanics in Fluid-Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Jixiang Song, Weimin Chen & Shuangxi Guo

  3. School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China

    Weimin Chen & Shuangxi Guo

  4. School of Electromechanical Engineering, Hunan Institute of Traffic Engineering, Hunan Province, Jiefang Avenue, Zhengxiang District, Hengyang City, 421001, People’s Republic of China

    Dingbang Yan

Authors
  1. Jixiang Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Weimin Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shuangxi Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dingbang Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

Jixiang Song: Methodology, Software, Data curation, Writing-Original draft preparation. Weimin Chen: Conceptualization, Validation, Visualization, Supervision, Investigation. Shuangxi Guo: Supervision, Validation. Dingbang Yan: Supervision, Validation. All authors reviewed the manuscript.

Corresponding author

Correspondence to Weimin Chen.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Song, J., Chen, W., Guo, S. et al. Numerical and experimental studies on reconfiguration of flexible beam with point buoyancy. J. Ocean Eng. Mar. Energy 10, 335–349 (2024). https://doi.org/10.1007/s40722-024-00315-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40722-024-00315-3

Keywords

Search

Navigation