Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-27T22:45:38.421Z Has data issue: false hasContentIssue false

6 - Large Bodies: Linear Theory

Published online by Cambridge University Press:  31 January 2023

Bernard Molin
Bernard Molin
Affiliation:
École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
Get access

Summary

In this chapter linearized potential flow theory is applied to the prediction of wave loads upon marine structures, and of their wave response. The linearized diffraction radiation theory is presented, leading to the wave excitation loads, added masses, and radiation dampings. Analytical, semi-analytical, and numerical methods of resolution are given, the first one for the case of one or several bottom-mounted vertical cylinders. Comparisons are offered with experimental results, where the merits and short-comings of the linearized theory are emphasized. Separate sections are then devoted to specific problems such as barge roll resonance, recovery of wave energy, coupling between seakeeping and sloshing in tanks, and resonances in moonpools and gaps.

Keywords

Linearized potential flow theorywave excitation loadadded massdampingwave responseroll resonancesloshing in tankswave energymoonpool resonancegap resonance.
Type
Chapter
Information
Offshore Structure Hydrodynamics , pp. 158 - 218
Publisher: Cambridge University Press
Print publication year: 2023

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Armand J.-L., Duthoit C. 1990. Distribution of maxima of non-linear ship rolling, in 2nd Intl. Symposium on Dynamics of Marine Vehicles and Structures in Waves, Elsevier, 305–316.Google Scholar
Babarit, A. 2017. Ocean Wave Energy Conversion, ISTE Press, Elsevier.Google Scholar
Babarit A., Duclos G., Cl ´ement A.H. 2004. Comparison of latching control strategies for a heaving wave energy device in random sea, Appl. Ocean Res., 26, 227–236.Google Scholar
Babarit A., Hals J., Muliawan M.J., Kurniawan A., Moan T., Krokstad J. 2012. Numerical benchmarking study of a selection of wave energy converters, Renewable Energ., 41, 44–63.Google Scholar
Callan M., Linton C.M., & Evans D.V. 1991. Trapped modes in two-dimensional waveguides, J. Fluid Mech., 229, 51–64.Google Scholar
Chakrabarti, S. 2001. Empirical calculation of roll damping for ships and barges, Ocean Engineering, 28, 915–932.Google Scholar
Cointe R., Geyer P., King B., Molin B., Tramoni M.-P. 1990. Nonlinear and linear motions of a rectangular barge in a perfect fluid, in Proc. 18th ONR Symposium on Naval Hydrodynamics, Ann Arbor, MI.Google Scholar
Dodge, F.T. 1966. Analytical representation of lateral sloshing by equivalent mechanical systems, in The Dynamic Behavior of Liquids in Moving Containers, NASA SP 106, ch. 6, H.N. Abramson editor.Google Scholar
Evans, D.V., Jeffery, D.C., Salter, S.H., Taylor, J.R.M., 1979. Submerged cylinder wave energy device: theory and experiment, Appl. Ocean Res., 1, 3–12.Google Scholar
Faltinsen O.M., Rognebakke O.F., Timokha A.N. 2007. Two-dimensional resonant piston-like sloshing in a moonpool, J. Fluid Mech., 575, 359–397. doi:10.1017/S002211200600440X.Google Scholar
Faltinsen O.M., Timokha A.N. 2009. Sloshing, Cambridge University Press.Google Scholar
Fernyhough M., Evans D.V. 1995. Scattering by a periodic array of rectangular blocks, J. Fluid Mech., 305, 263–279.Google Scholar
Garrett, C.J.R. 1971. Wave forces on a circular dock, J. Fluid Mech., 46, 129–139.Google Scholar
Hooft, J.P. 1972. Hydrodynamic aspects of semisubmersible platforms. Ph.D. Thesis, Delft Technical University.Google Scholar
Ikeda, Y. 1984. Roll damping of ships. In: Proceedings of Ship Motions, Wave Loads and Propulsive Performance in a Seaway, First Marine Dynamics Symposium, The Society of Naval Architecture in Japan, 241–250 (in Japanese).Google Scholar
Kokkinowrachos K., Mavrakos S., Asorakos S. 1986. Behavior of vertical bodies of revolution in waves, Ocean Engineering, 13, 505–538.Google Scholar
Ledoux A., Molin B., de Jouette C., Coudray T. 2004. FPSO roll damping prediction from CFD and 2D and 3D model tests investigations, ISOPE-I-04-118, The Fourteenth International Offshore and Polar Engineering Conference, Toulon.Google Scholar
Linton C.M., Evans D.V. 1990. The interaction of waves with arrays of vertical circular cylinders, J. Fluid Mech., 215, 549–569.Google Scholar
Linton C.M., McIver P. 2001. Handbook of Mathematical Techniques forWave/Structure Interactions, Chapman & Hall/CRC.Google Scholar
Magee, A.R. 1991. Large amplitude ship motions in the time domain, PhD thesis, U. Michigan.Google Scholar
Malenica Š., Molin B., Remy F., Senjanovic I. 2003. Hydroelastic response of a barge to impulsive and non-impulsive wave loads, Proc. 3rd Int. Conf. on Hydroelasticity, Oxford, UK.Google Scholar
Malenica Š., Molin B., Tuitman J.T., Bigot F., Senjanovic I. 2009. Some aspects of hydrostatic restoring forces for elastic bodies, in Proc. 24th International Workshop in Water Waves and Floating Bodies, Zelenogorsk, Russia (www.iwwwfb.org).Google Scholar
Malenica Š., Zalar M, Chen X.B. 2003. Dynamic coupling of seakeeping and sloshing. In Proc.13th int. Offshore and Polar Eng. Conf., Honolulu, Hawaii.Google Scholar
Martin P.A., Farina L. 1997. Radiation of water waves by a heaving submerged horizontal disc, J. Fluid Mech., 337, 365–379.Google Scholar
Mei C.C., Black J.L. 1969. Scattering of surface waves by rectangular obstacles in waters of finite depth, J. Fluid Mech., 38, 499–511.Google Scholar
Mendoune Minko I.D., Prevosto M., Le Boulluec M. 2008. Distribution of maxima of non-linear rolling in case of coupled sway and roll motions of a floating body in irregular waves, in Proc. of the ASME 27th International Conference on Offshore and Arctic Engineering, OMAE2008-57935, Estoril.CrossRefGoogle Scholar
Molin, B. 2001. On the piston and sloshing modes in moonpools, J. Fluid Mech., 430, 27–50.Google Scholar
Molin B., Remy F., Rigaud S., de Jouette C. 2002. LNG-FPSO’s: frequency domain, coupled analysis of support and liquid cargo motions, Proc. IMAM Conference, Rethymnon.Google Scholar
Molin B., Remy F., Kimmoun O., Stassen Y. 2002. Experimental study of the wave propagation and decay in a channel through a rigid ice-sheet, Applied Ocean Res., 24, 247–260.Google Scholar
Molin B., Remy F., Ledoux A., Ruiz N. 2008. Effect of roof impacts on coupling between wave response and sloshing in tanks of LNG-carriers, in Proc. of the ASME 27th International Conference on Offshore and Arctic Engineering, OMAE2008-57039, Estoril.Google Scholar
Molin B., Remy F., Camhi A., Ledoux A. 2009. Experimental and numerical study of the gap resonances in between two rectangular barges, in Proc. 13th Congress of Intl. Maritime Assoc. of Mediterranean (IMAM), Istanbul.Google Scholar
Molin B., Zhang X., Huang H., Remy F. 2018. On natural modes in moonpools and gaps in finite depth, J. Fluid Mech., 840, 530–554.Google Scholar
Newman, J.N. 1994. Wave effects on deformable bodies, Applied Ocean Res., 16, 47–59.Google Scholar
Newman J.N., Sortland B., Vinje T. 1984. Added mass and damping of rectangular bodies close to the free surface, J. Ship Research, 28.Google Scholar
Pinkster, J.A. 1980. Low frequency second order wave exciting forces on floating structures, Ph.D. Dissertation, Delft.Google Scholar
Prevosto, M. 2001. Distribution of maxima of non-linear barge rolling with medium damping, in Proc. 11th Int. Offshore & Polar Eng. Conf., III, 307–316.Google Scholar
Salter, H. 1974. Wave power, Nature, 249, 720–724.Google Scholar
Spring B.H., & Monkmeyer P.L. 1974. Interaction of plane waves with vertical cylinders, Proc. 14th Conf. on Coastal Engineering, ASCE, 1828–1847.Google Scholar
Yeung, R.W. 1981. Added mass and damping of a vertical cylinder in finite-depths water, Applied Ocean Res., 3, 119–133.Google Scholar
Zhao, R., Faltinsen O.M., Krokstad J.R., Aanesland V. 1988. Wave-current interaction effects on large-volume structures, Proc. 5th Int. Conf. Behaviour of Offshore Structures, BOSS’88, 2, 623–638.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Large Bodies: Linear Theory
  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book: Offshore Structure Hydrodynamics
  • Online publication: 31 January 2023
  • Chapter DOI: https://doi.org/10.1017/9781009198059.008
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Large Bodies: Linear Theory
  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book: Offshore Structure Hydrodynamics
  • Online publication: 31 January 2023
  • Chapter DOI: https://doi.org/10.1017/9781009198059.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Large Bodies: Linear Theory
  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book: Offshore Structure Hydrodynamics
  • Online publication: 31 January 2023
  • Chapter DOI: https://doi.org/10.1017/9781009198059.008
Available formats
×