Alexey (Alex) ANDRIANOV
M.Sc., PhD student at
Department of Applied Mathematics,
Faculty of Electrical Engineering, Mathematics and Computer Science,
Delft University of Technology,
The Netherlands
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List of Publications
1. A.I. Andrianov, V.V. Loboda. The Investigation of a Strip with
Interface Cracks along the Fixed Edges under Bending Load. Collection
of Works on Mechanics. DSU Publisher, Dnepropetrovsk, Ukraine, 1999, vol. 5, pp.
9-18 (in Russian).
2. A.I. Andrianov, V.V. Loboda. The Investigation of a Strip with
Interface Cracks along the Fixed Edges under Bending Load
(Timoshenko-Reissner method). DSU Bulletin on Mechanics. DSU Publisher,
Dnepropetrovsk, Ukraine, 2000, vol. 3, no. 1, pp.170-179 (in Russian).
3. A.I. Andrianov, V.V. Loboda. An Interface Crack along the
Fixed Edge of a Plate under Bending Load. Book of Abstracts II, 4th
EuroMECH (Euromech Solids Mechanics Conference), Metz, France, 2000,
p.412.
4. A.I. Andrianov, A.J. Hermans. A VLFP on Infinite, Finite and
Shallow Water. Proceedings of the 17th International Workshop on Water
Waves and Floating Bodies, Cambridge, UK, 2002, pp.1-4.
5. A.I. Andrianov, A.J. Hermans. Diffraction of Surface Waves by
VLFP on Infinite, Finite and Shallow Water. Abstracts of Day on
Diffraction' 2002, Saint-Petersburg, pp.12-13.
6. A.I. Andrianov, A.J. Hermans. Diffraction of Surface Waves by
VLFP on Infinite, Finite and Shallow Water. Proceedings of Day on
Diffraction' 2002, Saint-Petersburg, pp.13-23.
7. A.I. Andrianov, A.J. Hermans. Hydroelasticity of
Quarter-Infinite Plate on Water of Finite Depth. Proceedings of the
18th International Workshop on Water Waves and Floating Bodies, Le
Croisic, France, 2003, pp.1-4.
8. A.I. Andrianov, A.J. Hermans. Hydroelasticity of a Circular
Plate in Deep Water. Abstracts of Day on Diffraction' 2003,
Saint-Petersburg, p.14.
9. A.I. Andrianov, A.J. Hermans. The Influence of Water Depth on
the Hydroelastic Response of a Very Large Floating Platform. Marine
Structures, 2003, vol. 16, iss. 5, pp. 355-371.
10. A.I. Andrianov, A.J. Hermans. Hydroelasticity of a Circular Plate
on Water of Finite or Infinite Depth. Proceedings of the 19th International
Workshop on Water Waves and Floating Bodies, Cortona, Italy, 2004, pp.7-10.
11. I.V. Andrianov, A.I. Andrianov. Continualization and
Discretization: Numerical Aspects. International Conference on
Mathematics and Its Applications, Kuwait, 2004.
12. A.I. Andrianov, A.J. Hermans. Hydroelastic Behaviour of a
Ring-Shaped Plate. Advanced Problems in
Mechanics, Repino, Russia, 2004, p.21
13. A.I. Andrianov, A.J. Hermans. Interaction of Free Surface Waves and
Floating Elastic Plates. Day on Diffraction'
2004, Saint Petersburg, p.12.
14. A.I. Andrianov, A.J. Hermans. Hydroelasticity of a Circular
Plate on Water of Finite or Infinite Depth. (Submitted to) Journal of Fluids and Structures, 2005, accepted.
15. A.I. Andrianov, A.J. Hermans. Hydroelastic Behavior of a Floating
Ring-Shaped Plate. Journal of Engineering
Mathematics, 2005, accepted.
16. A.I. Andrianov, A.J. Hermans. Hydroelastic Analysis of Floating Plate of Finite Draft.
Proceedings of the 20th International Workshop on Water Waves and Floating Bodies,
Longyearbyen, Spitsbergen, Norway, 2005, pp.1-4.
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Publications: 1-2, 9, 14-15 - journal articles, 3-8, 10-13, 16 - conference articles.
1-2, 9, 14-15 are reviewed papers published in the journals,
4, 6-7, 11, 16 are the papers published in the proceedings of the conferences,
and 3, 5, 8, 10, 12-13 are the abstracts for the conferences.
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Publications
(extended)
2005 |
Hydroelastic Behavior of a Floating Ring-Shaped Plate
Alexey I. Andrianov & Aad J. Hermans
Abstract. The interaction between incident surface water waves and floating elastic plates is studied.
This paper considers the diffraction of plane incident waves on a
floating flexible ring-shaped plate and its response to the incident
waves.
An analytic and numerical study of the hydroelastic behavior of the
plate is presented. An integro-differential equation is derived for the
problem and an algorithm of its numerical solution is proposed. The
representation of the solution as a series of Hankel functions is the
key ingredient of the approach.
After an introduction, the problem is formulated. In Section 3 the main
integro-differential equation is on the basis of the Laplace equation
and thin-plate theory. The free-surface elevation, plate deflection and
Green's function are expressed in polar coordinates as the
superpositions of Hankel and Bessel functions, respectively. These
expressions, given in Section 4, are used in a further analysis of the
integro-differential equation. The problem is solved for two cases of
water depth: infinite and finite.
For the coefficients in the case of infinite depth a set of algebraic
equations is obtained, yielding an approximate solution in Section 6.
Then a solution is obtained for the general and most interesting case
of finite water depth analogously in the seventh section. The exact
solution might be approximated by taking into account a finite number
of the roots of the plate dispersion relation.
Also, the influence of the plate's motion on wave propagation in the
open water field and within the gap of the ring is studied. Numerical
results are presented for illustrative purposes.
Keywords: diffraction, hydroelastic response, integro-differential equation, plate-water interaction, ring-shaped plate.
Journal of Engineering Mathematics
(first submission - 22 July 2004), acceptted.
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Hydroelasticity of a Circular Plate on Water of Finite or Infinite Depth
Alexey I. Andrianov and Aad J. Hermans
Abstract. This paper considers the problem of diffraction of incident surface
waves on a floating elastic circular plate. We investigate hydroelastic
response of the plate to a plane incident wave for two cases of water
depth. In the second section we formulate the problem. In the third
section the case of infinite depth is considered and we derive a main
integro-differential equation. The free surface elevation and Green's
function are expressed in cylindrical coordinates as a superposition of
Bessel functions. For the coefficients a set of algebraic equations is
obtained, yielding the approximate solution. Then in the fourth section
a solution is obtained for the general case of finite water depth
analogously. The exact solution is approximated by taking a finite
number of roots of the dispersion relation into account. Numerical
results are presented for various physical parameters of the problem in
fifth section. Some remarks on numerical computation and a discussion
of results are also given.
Keywords: hydroelasticity, circular plate, incident waves, deep water,
water of finite depth, diffraction, deflection, Green's function,
Bessel functions.
Journal of Fluids and Structures, accepted
(first submission - 25 July 2003).
PDF-format (2.121 Mb)
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2003
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The Influence of Water Depth on the Hydroelastic Response of a Very Large Floating Platform
(running title: A Very Large Floating Platform on Water of Infinite, Finite or Shallow Depth)
Alex I. Andrianov and Aad J. Hermans
Diffraction
of incoming surface waves by very large floating platform (VLFP) is investigated
in the paper for three cases: infinite, finite and shallow water. An analytical
study for the deflection of the platform, reflection and transmission of
incoming waves is presented. For each case the problem is solved for two
forms of the platform: strip of the infinite length and half-plane plate.
The platform is idealized as a plate with elastic properties of zero thickness.
Integro-differential, boundary and transition equations and Green's function
are used for the solution. Numerical results are obtained for various values
of general parameters. Deflection of the strip and of the semi-infinite platform
are compared for different values of depth.
Marine Structures
(2003), vol. 16, iss. 5, pp. 355-371.
PDF-format (675 kb)
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2000
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The Investigation of a Strip with Interface Cracks along the Fixed Edges under Bending Load
(Timoshenko-Reissner method)
A.I.Andrianov, V.V.Loboda
Stress-strain of a strip with an interface cracks along the fixed edges under
bending load is considered. To avoid the oscillating singularities the short
intermediate zones at the crack tips are introduced. The quasi-invariance
of the energy release rate with respect to the intermediate zone length is
found out. (on Russian)
DSU Bulletin, Mechanics. DSU Publisher, Dnepropetrovsk, 2000, issue 3, no. 1, pp. 170-179.
doc-format (Microsoft Word, 2.2 Mb)
doc-format (archived - zip, 94 kb)
html-format (42 kb)
Abstract in Russian or
in Ukrainian
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1999
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The Investigation of a Strip with Interface
Cracks along the Fixed Edges under Bending Load
A.I.Andrianov, V.V.Loboda
Stress-strain of a strip with an interface cracks along the fixed edges under
bending load is considered. To avoid the oscillating singularities the short
intermediate zones at the crack tips are introduced. The quasi-invariance
of the energy release rate with respect to the intermediate zone length is
found out. (on Russian)
Collection of Works on Mechanics. DSU Publisher, Dnepropetrovsk, 1999, vol. 5, pp. 9-18.
RTF-format (Microsoft Word, 1.3 Mb)
RTF-format (archived - zip, 85 kb)
html-format (44 kb)
Below - English version of this paper
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The Investigation of a Strip with Interface Cracks Along the Fixed Edges under Bending Load
Alex I.Andrianov, Vladimir V.Loboda
The contact zones model is derived from the exact solution of the bending problem for an interface cracks
with contact zones of arbitrary length. Stress-strain state of a strip with an interface cracks along the fixed edges
under bending load is considered. To avoid the oscillating singularities the short intermediate zones at the crack tips
are introduced. The approximate relations for the intermediate zone length determination in terms of the stress intensity
factors (SIFs) are found and the example of these relations utilization is presented. Quasi-invariance of the energy
release rate (ERR) with respect to the intermediate zone length is proved and a simple way of the ERR numerical
determination is suggested.
RTF-format (Microsoft Word, 1.5 Mb)
RTF-format (archived - zip, 92 kb)
html-format (44 kb)
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Abstracts for the Conferences
2005
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Hydroelastic Analysis of Floating Plate of Finite Draft
Alexey I. Andrianov, Aad J. Hermans
20th IWWWFB (International Workshop on Water Waves and Floating Bodies), Longyearbyen, Spitsbergen, Norway, May' 29 - June' 1.
PDF-format (184 kb).
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2004
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Hydroelasticity of Elastic Circular Plate
Alexey I. Andrianov, Aad J. Hermans
19th IWWWFB (International Workshop on Water Waves and Floating Bodies), Cortona, Italy, March' 28-31
PDF-format (490 kb).
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Hydroelastic Behaviour of a
Ring-Shaped Plate
A.I. Andrianov, A.J. Hermans. Advanced Problems in
Mechanics, Repino, Russia, June' 23 - July' 1.
PDF-format (56 kb).
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Interaction of Free Surface Waves and
Floating Elastic Plates
A.I. Andrianov, A.J. Hermans. Day on Diffraction' 2004 (International Seminar), Saint Petersburg, June' 29 - July' 2.
PDF-format (24 kb).
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Continualization and Discretization: Numerical Aspects
I.V. Andrianov, A.I. Andrianov International Conference on Mathematics and Its Applications, Kuwait, April' 5-7.
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2003 |
Hydroelasticity of Quarter-Infinite Plate on Water of Finite Depth
Alex I. Andrianov, Aad J. Hermans
18th IWWWFB (International Workshop on Water Waves and Floating Bodies), Le Croisic, France, April' 6-9
PDF-format (92 kb).
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.
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Hydroelasticity of a Circular Plate in Deep Water
Alexey I. Andrianov & Aad J. Hermans
Day on Diffraction' 2003 (International Seminar), Saint Petersburg, Russia, June' 24-27
PDF-format (39 kb).
Abstract published on Abstracts of Day on Diffraction'2003, Saint Petersburg, p.14 (edited by I.V.Andronov and V.E.Grikurov).
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2002
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A VLFP on Infinite, Finite and Shallow Water
Alex I. Andrianov and Aad J. Hermans
17th IWWWFB (International Workshop on Water Waves and Floating Bodies), Cambridge, UK, April' 14-17
PDF-format (382 kb).
Published on Proceedings of the 17th International Workshop on Water Waves and Floating Bodies, Cambridge, UK, 2002, pp.1-4 (edited by R.C.T.Rainey and S.F.Lee)
and on the official site of the 17th IWWWFB.
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Diffraction of Surface Waves by VLFP on Infinite, Finite and Shallow Water
Alex I. Andrianov and Aad J. Hermans
Day on Diffraction' 2002 (International Seminar), St. Petersburg, Russia, June' 5-8
PDF-format (114 kb).
Abstract published on Abstracts of Day on Diffraction'2002, Saint Petersburg, pp.12-13 (edited by I.V.Andronov and V.E.Grikurov).
Paper accepted for the publication in Proceedings of Day on Diffraction'2002 (will be published in November 2002):
PDF-format (456 kb).
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2000
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An Interface Crack Along The Fixed Edge
Of A Plate Under Bending Load
Alex Andrianov and Vladimir Loboda
4th EuroMECH (Euromech Solids Mechanics Conference), Metz, France, June' 26-30
Published in: Book of Abstracts II, General Sessions, Fracture Mechanics,
p.412 and on the official
site of the 4th EuroMECH.
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Diploma Work
1999
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The Investigation of a Strip with Interface
Cracks along the Fixed Edges under Bending Load
Supervisor: Prof.V.V.Loboda.
51p. (in Russian)
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