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2021
1 Raynovskyy, Ihor; Timokha, Alexander.
Sloshing in Upright Circular Containers: Theory, Analytical Solutions, and Applications. CRC Press 2021 (ISBN 9780367362898) 170 s.
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2020
2 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. -
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3 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
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2019
4 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
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5 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
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6 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
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7 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 (1) s. 210-213
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8 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 (1) s. 214-217
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9 Tkachenko, Eugene; Timokha, Alexander.
On acoustic equilibria. Journal of Computational & Applied Mathematics 2019 (1 (130)) s. 99-109
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2018
10 Raynovskyy, IA; Timokha, Alexander.
Damped steady-state resonant sloshing in a circular base container. Fluid Dynamics Research 2018 ;Volum 50.(4)
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11 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
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12 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
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13 Timokha, Alexander.
Prandtl steady rotary current in an upright cylindrical container. Natsional'na Akademiya Nauk Ukrainy. Dopovidi: naukovyi zhurnal 2018 (8) s. 45-51
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14 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. -
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15 Timokha, Alexander; Tkachenko, Eugene.
Analytical approximate capillary surfaces. Proceedings of the Institute of Mathematics of NAS of Ukraine 2018 ;Volum 15.(1) s. -
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2017
16 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
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17 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
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18 Lukovsky, I; Timokha, Alexander.
Multimodal method in sloshing. Journal of Mathematical Sciences 2017 ;Volum 220.(3) s. 239-253
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19 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
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20 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
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21 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
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22 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
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2016
23 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
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24 Faltinsen, Odd Magnus; Timokha, Alexander.
Undamped eigenperiods of a sea-based gravity monotower. Applied Mathematical Modelling 2016 ;Volum 40.(19-20) s. 8217-8243
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25 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
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26 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
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27 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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28 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
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2015
29 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
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30 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. -
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31 Lukovsky, I; Timokha, Alexander.
Multimodal method in sloshing. Nelinijni kolivannâ 2015 ;Volum 18.(3) s. 295-312
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32 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
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33 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
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34 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
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2014
35 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
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36 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
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37 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
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38 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
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39 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
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40 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
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2013
41 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
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42 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. -
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43 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
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44 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. -
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45 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
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46 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
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47 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
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2012
48 Chernova, M.O.; Lukovsky, I.A.; Tymokha, Oleksandr.
Generalizing the Multimodal Method for the Levitating Drop Dynamics. ISRN Mathematical Physics 2012 ;Volum 2012.
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49 Faltinsen, Odd Magnus; Tymokha, Oleksandr.
晃荡. : 国防工业出版社 2012 783 s.
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50 Faltinsen, Odd Magnus; Tymokha, Oleksandr.
Analytically Approximate Natural Sloshing Modes for a Spherical Tank Shape. Journal of Fluid Mechanics 2012 ;Volum 703. s. 391-401
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