- A linear mathematical model for spatial motion of a toroidal tank with liquid
OV Solodun
Nonlinear Oscillations 27 (3), 421-438 2024
- On the Stokes – Zhukovskii potential for a toroidal cavity
OV Solodun
Nonlinear Oscillations 27 (2), 269-278 2024
- The Narimanov–Moiseev Multimodal Analysis of Nonlinear Sloshing in Circular Conical Tanks
AV Solodun, AN Timokha
Applied Mathematical Analysis: Theory, Methods, and Applications, 267-309 2020
- Natural liquid sloshing in toroidal tanks
AV Solodun
Proc. Inst. Math. NASU 16 (2), 140–155 2019
- Mathematical problems of nonlinear dynamics of conical reservoirs with liquids
IA Lukovsky, AV Solodun, AN Timokha
2019
- Собственные колебания жидкости в усечённых соосных конических баках
OV Solodun
Збірник Праць Інституту математики НАН України 15 (1), 180-205 2018
- General nonlinear mathematical modal model of the third order of liquid sloshing in coaxial conical tanks
AV Solodun
Proc. Inst. Math. NASU 14 (2), 133–149 2017
- On Internal Resonances of Liquid Sloshing in Movable Coaxial Conical Tanks
AV Solodun
Proc. Inst. Math. NASU 13 (3), 218–229 2016
- Analysis of resonant liquid sloshing in truncated conical tanks
AV Solodun
Proc. Inst. Math. NASU 12 (5), 160–180 2015
- Nonlinear Modal Models of the Third Order Describing Liquid Sloshing in Truncated Conical Tanks
AV Solodun
Proc. Inst. Math. NASU 11 (4), 280–307 2014
- Weakly nonlinear sloshing in a truncated circular conical tank
IP Gavrilyuk, M Hermann, IA Lukovsky, OV Solodun, AN Timokha
Fluid Dynamics Research 45 (5), 055512 2013
- Variational Method for Studying the Spectral Problem of Natural Liquid Sloshing in Coaxial Conical Tanks
IA Lukovsky, AV Solodun
Proc. Inst. Math. NASU 10 (3), 88–112 2013
- О внутренних резонансах колебаний жидкости в конических баках
ИА Луковский, АВ Солодун, АН Тимоха
Прикладна гідромеханіка 15 (2), 46-52 2013
- Multimodal method for linear liquid sloshing in a rigid tapered conical tank
I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
Engineering Computations 29 (2), 198-220 2012
- Internal resonances in liquid sloshing problems for truncatedconical tanks
I.A.Lukovsky, A.V.Solodun, A.N.Timokha
Proc. Inst. Math. NASU 9 (1), 203–212 2012
- On the asymptotic limit the use of solutions of the theory of surface waves in determining the weight attached to the moving liquid conical containers
IO Lukovsky, OV Solodun
Proc. Inst. Math. NASU 7 (2) 2010
- Modal modeling of the fluid-structure interaction associated with sloshing in a tapered conical tank
I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
Reports on Numerical Mathematics, FSU Jena, 10 (02), 17 2010
- The linear mathematical model of spatial movement of a conical tank with a liquid
I.A.Lukovsky, A.V.Solodun, AN Timokha
Acoustic Bulletin 12 (2), 44-56 2009
- Natural sloshing frequencies in rigid truncated conical tanks
I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
Engineering Computations 25 (6), 518-540 2008
- On the Stokes-Zhukovsky potential for truncated conical shape cavit
Lukovsky I.A., Solodun A.V., T A.N.
Proc. Inst. Math. NASU 9 (3) 2008