Propagation of flexural waves at the interface between floating plates

Proceedings of the International Offshore and Polar Engineering Conference

Volumn 12, Issue , 2002, Pages 808-815

  Chung, Hyuck ^a   Fox, Colin ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Elastic plate; Flexural waves; Ice sheets; Scaling; Wiener Hopf

Indexed keywords

CODES (SYMBOLS); DRAINAGE; ICE; PARTIAL DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); RIGIDITY; VECTORS; WAVE PROPAGATION;

ELASTIC PLATES; ICE SHEETS; SCALING; WEINER-HOPF TECHNIQUES;

ELASTIC WAVES;

EID: 1842451445     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. Balmforth, NJ, and Craster, RV (1999). "Ocean waves and ice sheets," J. Fluid Mech., Vol 395, pp 89-124.
2. Carrier, GF, Krook, M, and Pearson, CE (1966). Functions of a Complex Variable, Theory and Technique, McGrawHill, New York.
3. Chung, H, and Fox, C (2002). "Calculation of wave-ice interaction using the Wiener-Hopf technique,"New Zealand J. Math., In printing.
4. Crighton, DG (1979). "The free and forced waves on a fluidloaded elastic plate," J. Sound Vib., Vol 63, pp 225-235.
5. Evans, DV, and Davies, TV (1968). Wave-Ice Interaction Repot1313. Davidson Laboratory, Stevens Institute of Technology, Hoboken.
6. Fox, C, and Chung, H (1998). "Green's function for forcing of a thin floating plate," Technical Report, Vol 408, www.math.auckland.ac.nz/Research/DeptRep/reports.html, Department of Mathematics, University of Auckland.
7. Fox, C (2000). "Scaling laws for flexural waves in floating ice," Proceedings of IUTAM Scaling Lows in Ice Mechanics and Ice Dynamics. Fairbanks, Alaska, USA.
8. Fox, C, and Squire, VA (1990). "Reflection and transmission characteristics at the edge of shore fast sea ice," J. Geophysical Research, Vol 95, No C7, pp 11,629-11,639.
9. Fox, C, and Squire, VA (1994). "On the oblique reflexion and transmission of ocean waves at shore fast sea ice," Phil. Trans. R. Soc. Lond, Vol 347, No A, pp 185-218.
10. Gol'dshtein, RV, and Marchenko, AV (1989). "The diffraction of plane gravitational waves by the edge of an ice cover," Prikl. Matem. Mekhan., Vol 53, No 6, pp 731-736.
11. Grant, AD, and Lawrie, JB (2000). "Propagation of fluid-loaded structural waves along a duct with smoothly varying bending characteristics," Q. Jl Mech. appl. Math., Vol 53(2), pp 299-321.
12. Kerr, AD, and Palmer, WT (1989). "The deformations and stresses in floating ice plates,"Acta Mech., Vol 15, pp 15-72.
13. Lawrie, JB, and Abrahams, ID (1999). "An orthogonality relation for a class of problems with high-order boundary conditions; applications in sound-structure interaction," Q. Jl Mech. appl. Math., Vol 52(2), pp 161-181.
14. Marchenko, AV (1997). "Flexural-gravity waev diffraction at linear irregularities in sheet ice,"Fluid mechanics., Vol 32, pp 548-560.
15. Meylan, MH (2001). "A variational equation for the wave forcing of floating thin plates," Applied ocean research, Vol 23, pp 195-206.
16. Noble, B (1958). Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. Pergamon Press, London.
17. Norris, AN, and Wickham, GR (1995). "Acoustic diffraction from the junction of two flat plates,"Proc. R. Soc. Lond. A, Vol 451, pp 631-655.
18. Shames, IH, and Dym, CL (1991). Energy and Finite Element Methods in Structural Mechanics. Hemisphere Publishing Corporation, Bristol, PA, si units edition.
19. Squire, VA, and Dixon, TW (2000). "An analytic model for wave propagation across a crack in an ice sheet," International Journal of Offshore and Polar Engineering, Vol. 10, No. 3, 173-176.
20. Squire, VA, Robinson, W, Langhorne, PJ, and Haskell, TG (1988). "Vehicles and aircraft on floating ice," Nature, Vol 133, No 6169, pp 159-161.
21. Wang, S, Ertekin, RC, and Riggs, HR (1997). "Computationally efficient techniques in the hydroelasticity analysis of very large floating structures," Computers and structures, Vol. 62, No. 3, 603-610.