2022
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1. |
Lukovsky, I.A.; Timokha, Alexander. A Note on the Variational Formalism for Sloshing with Rotational Flows in a Rigid Tank with Unprescribed Motion. Ukrainian Mathematical Journal 2022 ;Volum 73.(10) s. 1580-1589 NTNU
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2021
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2. |
Faltinsen, Odd Magnus; Timokha, Alexander. Coupling between resonant sloshing and lateral motions of a two-dimensional rectangular tank. Journal of Fluid Mechanics 2021 ;Volum 916. s. A60-1-A60-41 NTNU
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3. |
Raynovskyy, I.A.; Timokha, Alexander. Damped steady-state resonant sloshing in a container of circular cross-section for arbitrary periodic nonparametric forcing. Bulletin of Taras Shevchenko National University of Kyiv Series: Physics & Mathematics 2021 ;Volum 2021.(3) s. 97-100 NTNU
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4. |
Raynovskyy, Ihor; Timokha, Alexander. Sloshing in Upright Circular Containers: Theory, Analytical Solutions, and Applications. CRC Press 2021 (ISBN 9780367362898) 170 s. NTNU
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2020
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5. |
Faltinsen, Odd Magnus; Lagodzinskyi, Oleksandr E.; Timokha, Alexander. Resonant three-dimensional nonlinear sloshing in a square base basin. Part 5. Three-dimensional non-parametric tank forcing. Journal of Fluid Mechanics 2020 ;Volum 894. s. - NTNU
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6. |
Solodun, A.V.; Timokha, Alexander. The Narimanov-Moiseev multimodal analysis of nonlinear sloshing in circular conical tanks. Studies in Systems, Decision and Control (SSDC) 2020 ;Volum 177. s. 267-309 NTNU
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2019
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7. |
Faltinsen, Odd Magnus; Timokha, Alexander. An inviscid analysis of the Prandtl azimuthal mass transport during swirl-type sloshing. Journal of Fluid Mechanics 2019 ;Volum 865. s. 884-903 NTNU
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8. |
Timokha, Alexander. Adaptive Lukovsky’s formulas for the resulting hydrodynamic force and moment owing to sloshing in an upright circular tank. Proceedings of the Institute of Mathematics of NAS of Ukraine 2019 ;Volum 16.(2) s. 188-208 NTNU
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9. |
Timokha, Alexander. Nonlinear boundary layer problems and laminar vortical stream generated by resonant sloshing in a circular base tank. Journal of Mathematical Sciences 2019 ;Volum 240.(3) s. 358-373 NTNU
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10. |
Timokha, Alexander; Lahodzinskyi, O.E.. Steady-state sloshing in an orbitally-forced square-base tank. Bulletin of Taras Shevchenko National University of Kyiv Series: Physics & Mathematics 2019 ;Volum 2019.(1) s. 210-213 NTNU
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11. |
Timokha, Alexander; Tkachenko, E.M.. Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion. Bulletin of Taras Shevchenko National University of Kyiv Series: Physics & Mathematics 2019 ;Volum 2019.(1) s. 214-217 NTNU
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12. |
Tkachenko, Eugene; Timokha, Alexander. On acoustic equilibria. Journal of Computational & Applied Mathematics 2019 (1 (130)) s. 99-109 NTNU
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2018
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13. |
Raynovskyy, IA; Timokha, Alexander. Damped steady-state resonant sloshing in a circular base container. Fluid Dynamics Research 2018 ;Volum 50.(4) NTNU
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14. |
Raynovskyy, Ihor; Timokha, Alexander. Steady-State Resonant Sloshing in an Upright Cylindrical Container Performing a Circular Orbital Motion. Mathematical Problems in Engineering 2018 ;Volum 2018. s. 1-8 NTNU
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15. |
Timokha, Alexander. Nonlinear boundary-layer problems and laminar vortical stream generated by resonant sloshing in a circular- base tank. Nelinijni kolivannâ 2018 ;Volum 21.(1) s. 131-144 NTNU
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16. |
Timokha, Alexander. Prandtl steady rotary current in an upright cylindrical container. Natsional'na Akademiya Nauk Ukrainy. Dopovidi: naukovyi zhurnal 2018 (8) s. 45-51 NTNU
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17. |
Timokha, Alexander; Raynovskyy, IA. Resonant Steady-State Sloshing in Upright Tanks: Effect of Three-Dimensional Excitations and Viscosity. I: ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering - Volume 9: Offshore Geotechnics; Honoring Symposium for Professor Bernard Molin on Marine and Offshore Hydrodynamics. ASME Press 2018 ISBN 978-0-7918-5130-2. s. - NTNU
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18. |
Timokha, Alexander; Tkachenko, Eugene. Analytical approximate capillary surfaces. Proceedings of the Institute of Mathematics of NAS of Ukraine 2018 ;Volum 15.(1) s. - NTNU
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2017
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19. |
Chernova, MO; Lukovsky, IA; Timokha, Alexander. Differential and variational formalism for acoustically-levitating drops. Journal of Mathematical Sciences 2017 ;Volum 220.(3) s. 359-375 NTNU
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20. |
Faltinsen, Odd Magnus; Timokha, Alexander. Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 4. Oblique forcing and linear viscous damping. Journal of Fluid Mechanics 2017 ;Volum 822. s. 139-169 NTNU
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21. |
Lukovsky, I; Timokha, Alexander. Multimodal method in sloshing. Journal of Mathematical Sciences 2017 ;Volum 220.(3) s. 239-253 NTNU
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22. |
Timokha, Alexander. Coupling of a swirl-type resonant sloshing and a mean rotational flow. Proceedings of the Institute of Mathematics of NAS of Ukraine 2017 ;Volum 14.(2) s. 218-231 NTNU
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23. |
Timokha, Alexander; Raynovskyy, Igor. Damped resonant steady-state sloshing in an upright circular tank. Proceedings of the Institute of Mathematics of NAS of Ukraine 2017 ;Volum 14.(2) s. 180-204 NTNU
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24. |
Timokha, Alexander; Raynovskyy, Igor. Resonant steady-state sloshing in upright tanks performing a three-dimensional periodic motion. Bulletin of Taras Shevchenko National University of Kyiv Series: Physics & Mathematics 2017 (3) s. 225-228 NTNU
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25. |
Timokha, Alexander; Raynovskyy, Ihor. The damped sloshing in an upright circular tank due to an orbital forcing. Natsional'na Akademiya Nauk Ukrainy. Dopovidi: naukovyi zhurnal 2017 (10) s. 48-53 NTNU
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2016
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26. |
Faltinsen, Odd Magnus; Lukovsky, Ivan A; Timokha, Alexander. Resonant sloshing in an upright annular tank. Journal of Fluid Mechanics 2016 ;Volum 804. s. 608-645 NTNU
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27. |
Faltinsen, Odd Magnus; Timokha, Alexander. Undamped eigenperiods of a sea-based gravity monotower. Applied Mathematical Modelling 2016 ;Volum 40.(19-20) s. 8217-8243 NTNU
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28. |
Timokha, Alexander. Analytically approximate natural sloshing modes and frequencies for an upright circular container with poles. Journal of Engineering Mathematics 2016 ;Volum 101.(1) s. 47-54 NTNU
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29. |
Timokha, Alexander. Resonant sloshing in a square-base tank due to an angular-and-horizontal periodic forcing. Proceedings of the Institute of Mathematics of NAS of Ukraine 2016 ;Volum 13.(4) s. 266-280 NTNU
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30. |
Timokha, Alexander. The Bateman-Luke variational formalism in sloshing with rotational flows. Natsional'na Akademiya Nauk Ukrainy. Dopovidi: naukovyi zhurnal 2016 (4) s. 30-34
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31. |
Timokha, Alexander; Raynovskyy, Igor. Resonant liquid sloshing in an upright circular tank performing a periodic motion. Journal of Computational & Applied Mathematics 2016 (4 (122)) s. 71-82 NTNU
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2015
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32. |
Chernova, M.O.; Lukovsky, I.A.; Timokha, Alexander. Differential and variational formalism for an acoustically levitating drop. Nelinijni kolivannâ 2015 ;Volum 18.(3) s. 413-428 NTNU
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33. |
Faltinsen, Odd Magnus; Timokha, Alexander. On damping of two-dimensional piston-mode sloshing in a rectangular moonpool under forced heave motions. Journal of Fluid Mechanics 2015 ;Volum 772. s. - NTNU
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34. |
Lukovsky, I; Timokha, Alexander. Multimodal method in sloshing. Nelinijni kolivannâ 2015 ;Volum 18.(3) s. 295-312 NTNU
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35. |
Timokha, Alexander. Natural sloshing frequencies and modes in an upright circular container with poles. Proceedings of the Institute of Mathematics of NAS of Ukraine 2015 ;Volum 12.(4) s. 156-164 NTNU
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36. |
Timokha, Alexander. The Bateman-Luke variational formalism for sloshing of an ideal incompressible liquid with rotational flows. Proceedings of the Institute of Mathematics of NAS of Ukraine 2015 ;Volum 12.(4) s. 148-155 NTNU
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37. |
Timokha, Alexander. The Narimanov--Moiseev modal equations for sloshing in an annular tank. Proceedings of the Institute of Mathematics of NAS of Ukraine 2015 ;Volum 12.(4) s. 122-147 NTNU
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2014
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38. |
Faltinsen, Odd Magnus; Timokha, Alexander. Analytically approximate natural sloshing modes and frequencies in two-dimensional tanks. European journal of mechanics. B, Fluids 2014 ;Volum 47. s. 176-187 NTNU
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39. |
Faltinsen, Odd Magnus; Timokha, Alexander. Coupling between sloshing and wave-induced vibrations of a monotower. European Fluid Mechanics Conference (EFMC1); 2014-09-15 - 2014-09-19 NTNU
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40. |
Gavrilyuk, Ivan; Hermann, Martin; Trotsenko, V; Trotsenko, Yu; Timokha, Alexander. Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution. Journal of Engineering Mathematics 2014 ;Volum 85.(1) s. 83-97 NTNU
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41. |
Timokha, Alexander. The sea-based gravity monotower: coupling external hydrodynamics, sloshing, soil, and structural vibrations. The multimodal method. Proceedings of the Institute of Mathematics of NAS of Ukraine 2014 ;Volum 11.(4) s. 472-508 NTNU
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42. |
Timokha, Alexander. The vortex-induced damping in the moonpool problem. Proceedings of the Institute of Mathematics of NAS of Ukraine 2014 ;Volum 11.(4) s. 457-471 NTNU
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43. |
Timokha, Alexander; Lukovsky, I.A.. Background of the multimodal method in the sloshing problem. Proceedings of the Institute of Mathematics of NAS of Ukraine 2014 ;Volum 11.(4) s. 438-456 NTNU
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2013
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44. |
Faltinsen, Odd Magnus; Tymokha, Oleksander. Multimodal analysis of weakly nonlinear sloshing in a spherical tank. Journal of Fluid Mechanics 2013 ;Volum 719. s. 129-164 NTNU
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45. |
Faltinsen, Odd Magnus; Tymokha, Oleksandr. Nonlinear Sloshing in a Spherical Tank. I: 32nd International Conference on Ocean, Offshore and Arctic Engineering Odd M. Faltinsen Honoring Symposium on Marine Hydrodynamics. ASME Press 2013 ISBN 978-0-7918-5543-0. s. - NTNU
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46. |
Gavrilyuk, I; Hermann, M; Trotsenko, Y; Tymokha, Oleksandr. Studying the coupled eigenoscillations of an axisymmetric tower-elevated tank system by the multimodal method. Journal of Fluids and Structures 2013 ;Volum 42. s. 152-165 NTNU
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47. |
Gavrilyuk, IP; Hermann, M; Lukovsky, IA; Solodun, OV; Tymokha, Oleksandr. Weakly nonlinear sloshing in a truncated circular conical tank. Fluid Dynamics Research 2013 ;Volum 45.(5) s. - NTNU
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48. |
Timokha, Alexander; Chernova, M.O.. Sloshing in a two-dimensional circular tank. Weakly-nonlinear modal equations. Proceedings of the Institute of Mathematics of NAS of Ukraine 2013 ;Volum 10.(3) s. 262-283 NTNU
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49. |
Timokha, Alexander; Chernova, M.O.. Vibroequilibria of acoustically-levitating drops. Proceedings of the Institute of Mathematics of NAS of Ukraine 2013 ;Volum 10.(3) s. 242-261 NTNU
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50. |
Timokha, Alexander; Ovchynnykov, Dmytro. A complete weakly-nonlinear multimodal system for modeling the liquid sloshing dynamics in an upright annular cylindrical tank. Proceedings of the Institute of Mathematics of NAS of Ukraine 2013 ;Volum 10.(3) s. 284-295 NTNU
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