Alex ANDRIANOV
M.Sc., Ph.D. student at
Department of Applied Mathematical Analysis
Faculty of Electrical Engineering, Mathematics and Computer Science
Delft University of Technology
Supervisor: Prof. Aad J. Hermans
Field of Research: Hydroelasticity of Floating Platforms
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HYDROELASTICITY
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 integro-differential 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 integro-differential equations, which,
together with edge conditions, allows us to find the unknown amplitudes
of plate deflection.
The results of our work were published in journals and were presented at the international conferences. Please find our papers here.
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Current Research
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2003-2004 (Alexey I. Andrianov and Aad J. Hermans)
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Hydroelasticity of Floating Circular Plate
We
consider the hydroelastic behavior of floating platform in form of
circle. The problem was solved analitically. for finite and infinite
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 integro-differential
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 integro-differential equations, which, together with
edge conditions, allows us to find the unknown amplitudes of plate
deflection.
Circular Plate in Infinite Water (January-April 2003)
Circular Plate in Finite Water (May-July 2003)
Problem is solved, the paper has been submitted to the 'Journal of Fluids and Structures'.
Hydroelasticity of Floating Ring
Ring in Infinite Water (September - November 2003)
Ring in Finite Water (November - December 2003) Paper - ... 2004
Quarter-Infinite Plate on Water of Shallow Depth
Way of solution, first equations (November - December 2003) |
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Recent Research
| 2001 - 2003 (Alexey I. Andrianov and Aad J. Hermans)
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Hydroelasticity of Quarter-Infinite 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, 6-9 April 2003 and published on Proceedings of the 18th International Workshop on Water Waves and Floating Bodies, Le Croisic, France, 2003, pp.1-4 (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)
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Finite Platform on Shallow Water (January - April 2002) Not presented
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Semi-Infinite 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 information is here. |
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other fields of research:
Mechanics of Destruction (Investigation of Crack Tips in Elastic Plates)
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fields of interest:
History
Asymptotic Methods
Underwater Acoustics
Mthematics in Metallurgy
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