
HYDROELASTICITY of VLFS
Interaction of Free Surface Waves and Floating Elastic Plates
We
are investigating the problems of hydroelastic behavior of very large
floating platforms (VLFP) in waves and diffraction of waves by VLFP.
The VLFP is modeled as a thin plate with elastic properties in this
kind of problems. The plate floats at the surface of an ideal,
incompressible fluid.
An analytical study is obtained for many different forms of floating
plate, with one infinite dimension or without it. The thin plate
theory, Laplace equation in the fluid, together with surface
conditions, dispersion relations, and integrodifferential formulation
are used for the solution.
The depth plays an important role, usually each problem is
divided on three sections: the cases of infinitely deep, finite or
shallow depth.
The plate deflection is represented as a superposition of exponential
functions (for plates with one infinite dimension) or as a series of
Bessel functions (for the plate in the form of a circle or a ring)
multiplying by the deflection amplitudes. In the similar way, we
represent the Green's function for each problem. After some steps of
analysis we obtain the set integrodifferential equations, which,
together with edge conditions, allows us to find the unknown amplitudes
of the plate deflection. Analytical and numerical studies are presented in the papers.
Also, we study the initiated wave pattern, i.e. the free surface
displacement, generated by plate motion. More details are here.
For more detailed information see the "Project Description".
Also, the information about our current research can be found in "Interaction of Free Surface Waves and
Floating Elastic Plates" (abstract submitted to conference Day on Diffraction'
2004). The
results of our work have been published in the journals and presented
at the international conferences. Please find our papers here.
Currently (2005) A.Andrianov works on his thesis, plan and information are here. Running title of the thesis: Hydroelasticity of very large floating flexible platfes.



Current Research
20032005 (Alexey I. Andrianov and Aad J. Hermans)

Hydroelasticity of Floating Circular Plate We
consider the hydroelastic behavior of floating platform in the form of the
circle. The problem was solved analitically for finite and infinite water
depth. The VLFP is modeled as a thin plate with elastic properties. The
thin plate theory, standard Laplace equation in the fluid, together
with surface conditions, dispersion relations, and integrodifferential
formulation are used to solve the problem. The plate deflection is
represented as a series of Bessel functions multiplying by the
deflection amplitudes. In the similar way, we represent the Green's
function for both cases of depth as a series of Bessel functions. Later
Graf's addition theorem is applied to the Green's function. Finally, we
obtain the set integrodifferential equations, which, together with
edge conditions, allows us to find the unknown amplitudes of plate
deflection.
Circular Plate in Water of Infinite Depth (JanuaryApril 2003)
Circular Plate in Water of Finite Depth (MayJuly 2003)
Problem is solved, the paper has been submitted to the 'Journal of Fluids and Structures'. Abstract for the conference 19th IWWWFB.
Hydroelasticity of Floating RingShaped Plate
Ring in Water of Infinite Depth (September  November 2003)
Ring in Water of Finite Depth (November 2003  February 2004)
Paper will be submitted to the journal in 2004.
Abstract "Hydroelastic Behaviour of a RingShaped Plate" sent for the conference Advanced Problems in Mechanics  2004.
Hydroelastic Analysis of the Plate of Finite Draft
The problem is solved for the case of finite thickness and draft of the floating plate.
Abstract has been submitted for the 20th IWWWFB.
(March 2004  January 2005)
QuarterInfinite Plate on Water of Shallow Depth
Way of solution, first equations (November  December 2003) 


Recent Research
2001  2003 (Alexey I. Andrianov and Aad J. Hermans)

Hydroelasticity of QuarterInfinite Plate on Water of Finite Depth
These results and method were presented at 18th IWWWFB (International Workshop on Water Waves and Floating Bodies)
in Le Croisic, France, 69 April 2003 and published on Proceedings of
the 18th International Workshop on Water Waves and Floating Bodies, Le
Croisic, France, 2003, pp.14 (edited by A.H. Clément and
P.Ferrant) and on the official site of the 18th IWWWFB.
Hydroelasticity of QIP on Water of Finite Depth (August 2002  January 2003)


Finite Platform on Shallow Water (January  April 2002)


SemiInfinite Plate and Strip of Infinite Length
Infinite Water (January  June 2001)
Finite Water (July  November 2001)
Shallow Water (October  December 2001). The paper with those results has been published in the journal 'Marine Structures', all the information is here. 



Alexey ANDRIANOV
(Alex Andrianov)
M.Sc., Ph.D. student at
Department of Applied Mathematics,
Faculty of Electrical Engineering, Mathematics and Computer Science,
Delft University of Technology
Supervisor: Prof. Aad J. Hermans
Field of Research: Hydroelasticity of Floating Platforms
Since 2004 Dept. of Applied Mathematics is Delft Institute of Applied Mathematics
