Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Symbols
- Abbreviations
- 1 Introduction
- 2 Environmental Conditions
- 3 Wave Theories
- 4 Wave and Current Loads on Slender Bodies
- 5 Flow-Induced Instabilities
- 6 Large Bodies: Linear Theory
- 7 Large Bodies: Second-Order Effects
- 8 Large Bodies: Other Nonlinear Effects
- 9 Model Testing
- Appendix A: Introduction to Potential Flow Theory
- Appendix B: Hydrostatics
- Appendix C: Damped Mass Spring System
- Appendix D: The Boundary Integral Equation Method
- Author Index
- Subject Index
- References
6 - Large Bodies: Linear Theory
Published online by Cambridge University Press: 31 January 2023
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Symbols
- Abbreviations
- 1 Introduction
- 2 Environmental Conditions
- 3 Wave Theories
- 4 Wave and Current Loads on Slender Bodies
- 5 Flow-Induced Instabilities
- 6 Large Bodies: Linear Theory
- 7 Large Bodies: Second-Order Effects
- 8 Large Bodies: Other Nonlinear Effects
- 9 Model Testing
- Appendix A: Introduction to Potential Flow Theory
- Appendix B: Hydrostatics
- Appendix C: Damped Mass Spring System
- Appendix D: The Boundary Integral Equation Method
- Author Index
- Subject Index
- References
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
- Type
- Chapter
- Information
- Offshore Structure Hydrodynamics , pp. 158 - 218Publisher: Cambridge University PressPrint publication year: 2023
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., 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
Fernyhough M., Evans D.V. 1995. Scattering by a periodic array of rectangular blocks, J. Fluid Mech., 305, 263–279.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., 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
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