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Hydroelastic behavior of a floating ring-shaped plate

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18 A.I. Andrianov & A.J. Hermans3. T. Tsubogo, The motion <strong>of</strong> an elastic disk on shallow water in waves. In: J.S. Chung, M.Sayeed, H. Saeki and T. Setoguchi (eds.), Proceedings <strong>of</strong> 11th International Offshore and PolarEnginee<strong>ring</strong> Conference. Vol.I. Stavanger, Norway: (2001) pp.229–233.4. E. Watanabe, T. Utsunomiya and C.M. Wang and Y. Xiang, <strong>Hydroelastic</strong> analysis <strong>of</strong> pontoontypecircular VLFS. In: J.S. Chung and S. Prinsenberg (eds.), Proceedings <strong>of</strong> 13th InternationalOffshore and Polar Enginee<strong>ring</strong> Conference. Vol.I. Honolulu, USA: (2003) pp.93–99.5. M.A. Peter, M.H. Meylan and H. Chung, Wave scatte<strong>ring</strong> by a circular <strong>plate</strong> in water <strong>of</strong> finitedepth: a closed form solution. In: J.S. Chung and S. Prinsenberg (eds.), Proceedings <strong>of</strong> 13thInternational Offshore and Polar Enginee<strong>ring</strong> Conference. Vol.I. Honolulu, USA: (2003) pp.180–185.6. A.I. Andrianov and A.J. Hermans, <strong>Hydroelastic</strong>ity <strong>of</strong> a circular <strong>plate</strong> on water <strong>of</strong> finite or infinitedepth. J. Fluids Struct. 20 (2005) accepted.7. A.J. Hermans, The ray method for the deflection <strong>of</strong> a <strong>floating</strong> flexible platform in short waves.J. Fluids Struct. 17 (2003) 593–602.8. A.I. Andrianov and A.J. Hermans, The influence <strong>of</strong> water depth on the hydroelastic response<strong>of</strong> a very large <strong>floating</strong> platform. Marine Struct. 16 (2003) 355–371.9. A.J. Hermans, Interaction <strong>of</strong> free-surface waves with <strong>floating</strong> flexible strips. J. Eng. Math. 49(2004) 133–147.10. S.P. Timoshenko, D.H. Young and W. Weaver, Vibration Problems in Enginee<strong>ring</strong>. New York:John Wiley & Sons (1974) 521pp.11. J.V. Wehausen and E.V. Laitone, Surface waves. In: W. Flügge (ed.), Encyclopedia <strong>of</strong> Physics.Vol.9. Berlin: Sp<strong>ring</strong>er-Verlag (1960) pp.446–814.Also at http://www.coe.berkeley.edu/SurfaceWaves.12. C.J. Tranter, Bessel Functions with Some Physical Applications. London: The English UniversitiesPress (1968) 148pp.13. G.A. Korn and T.M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions,Theorems and Formulas for Reference and Review. New York: McGraw-Hill, 1968, 831pp.14. D.E. Amos, A portable package for Bessel functions <strong>of</strong> a complex argument and nonnegativeorder. ACM Trans. Math. S<strong>of</strong>tware 12 (1986) pp.265–273.15. M. Abramowitz and I.A. Stegun, Handbook <strong>of</strong> Mathematical Functions with Formulas, Graphs,and Mathematical Tables. Washington: U.S. Government Printing Office (1964) 1046pp.16. B. Molin, On the piston and sloshing modes in moonpools. J. Fluid Mech. 430 (2001) 27–50.PSfrag replacementsPSfrag replacements0.7w0-0.7-10.5010.60-0.6-1w0.501-0.5y/r 000.51 -1 -0.5x/r 0-0.5y/r 000.51 -1 -0.5x/r 0Figure 5. Deflection <strong>of</strong> the <strong>ring</strong>-<strong>shaped</strong> <strong>plate</strong>, for λ = 50 m, D = 10 5 m 4 : a) infinite depth, b) finitedepth, h = 20 m.AndrianovHermans.tex; 15/03/2005; 17:37; p.18

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