Wave interaction with Floating platform of different shapes and supports using BEM approach
Keywords:Wave force, Boundary Element Method, Floating platform, Shapes, Support conditions, Euler-Bernoulli beam, Galerkins approach
AbstractWave interaction with a floating thin elastic plate which can be used as floating platform is analyzed using Boundary Element Method (BEM) for different shapes such as rectangular, circular and triangular. Different support conditions are considered and the performance of the floating platform under the action of ocean waves is explored. The study is performed under the assumption of linearized water wave theory and the floating elastic plate is modelled based on the Euler-Bernoulli beam theory. Using Galerkins approach, a numerical model has been developed and the hydrodynamic loading on the floating elastic plate of shallow draft (thickness) is investigated. The wave forces are generated by the numerical model for the analysis of the floating plate. The resulting bending moment and optimal deflection due to encountering wave force is analysed. The present study will be helpful in design and analysis of the large floating platform in ocean waves.
Andrianov, A.I. & Hermans, A.J. (2005): Hydroelasticity of a circular plate on water of finite or infinite depth, Journal of Fluids and Structures, Vol. 20. No. 5, pp. 719-733.
Andrianov, A.I. & Hermans, A.J. (2008): The influence of water depth on the hydroelastic response of a very large floating platform. Marine Structures, Vol. 16, No. 5, pp. 355-371.
Au, M.C. & Brebbia, C.A. (1982): Numerical prediction of wave forces using boundary element method. Applied Mathematical Modelling, Vol. 6, pp. 218-228.
Brebbia, C.A. (1978): The boundary element method for engineers, Pentech Press, London
Brebbia, C.A. & Walker, S. (1980): The boundary element techniques in engineering, Newnes Butter worths, London.
Bishop, R.E.D & Price, W.G. (1979): Hydroelasticity of ships. Cambride university press, Cambridge.
Gueret, R.A.M (2002): Interaction of free surface waves with elastic and air cushion platform. Doctorate Thesis, Delft University of Technology, ISBN 90-407-2359-5.
Goldshtein, R.V. & Marchenko, A.V. (1989): The diffraction of plane gravitational waves by edge of an ice cover, Journal of Applied Mathematics and Mechanics, Vol. 53, No. 16, pp. 731-736.
Karmakar, D. & Sahoo T. (2005): Scattering of waves by articulated floating elastic plates, Marine Structures, Vol. 18, pp. 451-471.
Karmakar D., Bhattacharjee J. & Sahoo T. (2009): Wave interaction with multiple articulated floating elastic plates, Journal of Fluids and Structures, Vol. 25, No. 6, pp. 1065-1078.
Khabakhpash, T.I. & Korobkin, A.A. (2002): Hydroelastic behavior of compound floating plate in waves, Journal of Engineering Mathematics, Vol. 44, pp. 21-40.
Lee, C.H. & Newmn, J.N. (2000): An Assessment of hydroelasticity for very large hinged vessels, Journal of Fluids and Structures, Vol. 14, pp. 957-970.
Meylan, M.H. & Squire, V.A. (1996): Response of circular ice -floe to ocean waves, Journal of Geophysical Research, Vol. 101, No. 14, pp. 8869-8884.
Ohkusu, M. & Namba, Y. (2004): Hydroelastic analysis of a large floating structure, Journal of Fluids and Structures, Vol. 19, pp. 543-555.
Peter, M.A., Meyler, M.N & Chung, N. (2004): Wave scattering by a circular elastic plate in water of finite depth: A closed form solution, International Journal of Offshore and Polar Engineering, Vol. 14, No. 2, pp. 81-85.
Riyansyah, M., Wang, C.M. & Choo, Y.S. (2010): Connection design for two-floating beam system for minimum hydroelastic response, Marine Structures, Vol. 23, pp. 67-87.
Taylor, R.E. & Ohkusu, M. (2002): Green functions for hydroelastic analysis of vibrating free-free beams and plates, Applied Ocean Research, Vol. 22, pp. 295-314.
Taylor, R.E. (2007): Hydroelastic analysis of plates and some approximations, Journal of engineering Mathematics, Vol. 58, pp. 267-278.
Tkacheva, L.A. (2001a): Surface waves diffraction on a floating elastic plate, Fluid Dynamics, Vol. 36, pp. 776-789.
Tkacheva, L.A. (2001b): Scattering of surface waves by the edge of a floating elastic plate, Journal of Applied Mechanics and Technical Physics, Vol. 42, pp. 638-646.
Wang, S., Karmakar, D. & Guedes Soares, C. (2016): Hydroelastic impact of a horizontal floating plate with forward speed, Journal of Fluids and Structure, Vol. 60, pp. 97-113.
Wu, C., Watanabe, E. & Utsunomiya, T. (1995): An eigenfunction expansion matching method for analyzing the wave-induced responses of an elastic floating plate, Applied Ocean Research, Vol. 17, pp. 301-310.
Watanabe, E., Utsumomlya, T. & Wang, C.M. (2004): Hydroelastic analysis of pontoon type VLFS: A literature survey, Engineering Structures, Vol. 28, No. 2, pp. 245-256.
Watanabe, E., Utsunomiya, T., Wang, C.M. & Le, T.T.H. (2006): Benchmark hydroelastic response of circular VLFS under wave action, Engineering Structures, Vol. 28, pp. 423-430.
Zilman, G. & Miloh, T. (2000): Hydroelastic buoyant circular plate in shallow water: A closed form solution, Applied Ocean Research, Vol. 22, pp. 191-198.
Rizzo FJ, (1967): An integral equation to boundary value problems of classical elstostatics, Journal of Applied Mathematics, Vol. 25, pp. 83-95.