Алексей АНДРИАНОВ
аспирант кафедры прикладной математики факультета электротехники, математики и компьютерных наук
Технического Университета Делфта (Голландия)
M.Sc., PhD student at
Department of Applied Mathematics,
Faculty of Electrical Engineering, Mathematics and Computer Science,
Delft University of Technology,
The Netherlands
(бывшее название кафедры: Department of Applied Mathematical Analysis)
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2. А.И.Андрианов, В.В.Лобода. Исследование изгиба полосы с трещинами вдоль жестко закрепленных краев с использованием теории пластин Тимошенко - Рейсснера. Вестник ДГУ, Механика (Вiсник ДДУ, Механiка). Издательство ДГУ, Днепропетровск, 2000, выпуск 3, том 1, стр. 170-179. 3. A.Andrianov, 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, Кембридж, Великобритания, 2002, стр. 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, Санкт-Петербург, стр. 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, Санкт-Петербург, стр. 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, Санкт-Петербург, стр. 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, т. 16, вып. 5, стр. 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, стр. 7-10. 11. I.V. Andrianov, A.I. Andrianov. Continualization and Discretization: Numerical Aspects. International Conference on Mathematics and Its Applications, Кувейт, 2004. 12. A.I. Andrianov, A.J. Hermans. Hydroelastic Behaviour of a Ring-Shaped Plate. Advanced Problems in Mechanics, Репино, Россия, 2004, стр. 21. 13. A.I. Andrianov, A.J. Hermans. Interaction of Free Surface Waves and Floating Elastic Plates. Day on Diffraction' 2004, Санкт-Петербург, стр. 12. 14. A.I.Andrianov, A.J.Hermans. Hydroelasticity of a Circular Plate on Water of Finite or Infinite Depth. Journal of Fluids and Structures, 2005 (принята к публикации). 15. A.I.Andrianov, A.J.Hermans. Hydroelastic Behavior of a Floating Ring-Shaped Plate. Journal of Engineering Mathematics, 2005 (принята к публикации). 16. A.I.Andrianov, A.J.Hermans. Hydroelastic Analysis of Floating Plate of Finite Draft. (Abstract submitted for) 20th International Workshop on Water Waves and Floating Bodies, Longyearbyen, Spitsbergen, Norway, 2005, стр. 1-4. |
| Публикации: 1-2, 9, 14-15 - статьи в журналах, 3-8, 10-13, 16 - конференционные. 1-2, 9, 14-15 - статьи, опубликованные в журналах, 4, 6-7, 10-11, 16 - публикации в трудах конференций, 3, 5, 8, 12-13 - тезисы докладов конференций. |
Мои Публикации
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Статьи
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| 2004 |
| 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, accepted (submitted on July 2004). |
| Hydroelasticity of a Circular
Plate on Water of Finite or Infinite Depth Alexey I. Andrianov and Aad J. Hermans Резюме. 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. Ключевые слова: hydroelasticity, circular plate, incident waves, deep water, water of finite depth, diffraction, deflection, Green's function, Bessel functions. Статья отправлена в журнал Journal of Fluids and Structures (25 июля 2003). |
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2003
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| The Influence of Water Depth on the Hydroelastic Response of a Very Large Floating Platform (рабочее название: 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, т. 16, вып. 5, стр. 355-371. PDF-формат (675 Кбайт) |
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2000
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Исследование изгиба полосы с трещинами
вдоль жестко закрепленных краев с использованием теории пластин Тимошенко - Рейсснера А.И.Андрианов, В.В.Лобода Рассмотрена задача о напряженно-деформированном состоянии (НДС) изгибаемой полосы с трещинами, нагруженными изгибающими моментами вдоль ее защемленных краев. Отличительной чертой работы является то, что осциллирующая особенность вблизи вершин трещин устраняется путем введения промежуточных зон. Установлена квазиинвариантность скорости освобождения энергии относительно длины этих зон. Вестник ДГУ, Механика (Вiсник ДДУ, Механiка). Издательство ДГУ, Днепропетровск, 2000, выпуск 3, том 1, стр. 170-179. doc-формат (Microsoft Word, 2.2 Mбайт) doc-формат (заархивированный - zip, 94 Кбайт) html-формат (42 Кбайт) Abstract in Russian or in Ukrainian |
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Исследование изгиба круглой пластины с трещиной вдоль жестко закрепленных края А.И.Андрианов, В.В.Лобода Рассмотрена задача о напряженно-деформированном состоянии изгибаемой круглой пластины с трещиной, нагруженной изгибающим моментом вдоль ее защемленного края. Отличительной чертой работы является то, что осциллирующая особенность вблизи вершин трещины устраняется путем введения промежуточных зон. Установлена квазиинвариантность скорости освобождения энергии относительно длины этих зон. Статья подготовлена, но пока не опубликована. RTF-формат (Microsoft Word, 2.0 Mбайт) RTF-формат (заархивированный - zip, 100 Кбайт) html-формат (41 Кбайт) |
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1999
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| Исследование изгиба полосы с трещинами вдоль жестко закрепленных краев А.И.Андрианов, В.В.Лобода Рассмотрена задача о напряженно-деформированном состоянии изгибаемой полосы с трещинами, нагруженными изгибающими моментами вдоль ее защемленных краев. Отличительной чертой работы является то, что осциллирующая особенность вблизи вершин трещин устраняется путем введения промежуточных зон. Установлена квазиинвариантность скорости освобождения энергии относительно длины этих зон. Сборник трудов по механике. Издательство ДГУ, Днепропетровск, 1999, том 5, стр. 9-18. RTF-формат (Microsoft Word, 1.3 Mбайт) RTF-формат (заархивированный - zip, 85 Кбайт) html-формат (44 Кбайта) Ниже - английский вариант этой статьи |
| 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-формат (Microsoft Word, 1.5 Mбайт) RTF-формат (заархивированный - zip, 92 Кбайт) html-формат (44 Кбайта) |
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Доклады на конференциях
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| 2005 | |||
| 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, 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 |
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| 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-формат (92 Кбайт). Опубликовано в Proceedings of the 18th International Workshop on Water Waves and Floating Bodies, Le Croisic, France, 2003, pp.1-4 (под редакций А.Х.Клемана и П.Феррана) и на oофициальном сайте конференции 18 IWWWFB. |
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| Hydroelasticity of a Circular Plate in Deep Water Alexey I. Andrianov & Aad J. Hermans Day on Diffraction' 2003 (Дни дифракции), Санкт-Петербург, Россия, 5-8 июня PDF-формат (39 kb). Абстракт опубликован в Abstracts of Day on Diffraction'2003, Санкт-Петербург, стр.14 (под редакцией И.В.Андронова и В.Е.Грикурова). |
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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-формат (382 Кбайт). Опубликовано в Proceedings of the 17th International Workshop on Water Waves and Floating Bodies, Кембридж, Великобритания, 2002, стр.1-4 (под редакцией Р.К.Т.Рейни и С.Ф.Ли) и на официальном сайте конференции 17 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 (Дни дифракции), Санкт-Петербург, Россия, 5-8 июня PDF-формат (114 Кбайт). Абстракт опубликован в Abstracts of Day on Diffraction' 2002, Санкт-Петербург, стр.12-13 (под редакцией И.В.Андронова и В.Е.Грикурова). Статья принята к публикации в Proceedings of Day on Diffraction'2002 (ноябрь 2002): PDF-формат (456 Кбайт). |
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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 Опубликован в: Book of Abstracts II, General Sessions, Fracture Mechanics, p.412 и на официальном сайте конференции. doc-формат (Microsoft Word, 58 Kбайт) html-формат (5 Kбайт) |
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Моя дипломная работа
1999 |
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| Исследование изгиба полосы с трещинами вдоль жестко закрепленных краев А.И.Андрианов Научный руководитель: Проф.В.В.Лобода. 51 стр. |
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