Abstract:
Statement of a problem of management of movement of a body in a viscous liquid is given. Movement bodies it is induced by moving of internal material points. On a basis the numerical decision of the equations of movement of a body and the hydrodynamic equations approximating dependencies for viscous forces are received. With application approximations the problem of optimum control of body movement dares on the set trajectory with application of hybrid genetic algorithm. Possibility of the directed movement of a body under action is established back and forth motion of an internal point. Optimum control movement direction it is carried out by motion of other internal point on circular trajectory with variable speed.
Keywords:
optimum control, the equations of movement, Navier-Stokes equations, numerical methods, fuzzy decision trees, genetic algorithm.
Citation:
E. V. Vetchanin, V. A. Tenenev, “Motion control simulating in a viscous liquid of a body with variablegeometry of weights”, Computer Research and Modeling, 3:4 (2011), 371–381
\Bibitem{VetTen11}
\by E.~V.~Vetchanin, V.~A.~Tenenev
\paper Motion control simulating in a viscous liquid of a body with variablegeometry of weights
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 4
\pages 371--381
\mathnet{http://mi.mathnet.ru/crm564}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-4-371-381}
Linking options:
https://www.mathnet.ru/eng/crm564
https://www.mathnet.ru/eng/crm/v3/i4/p371
This publication is cited in the following 11 articles:
Felix Chernousko, Nikolay Bolotnik, Dynamics of Mobile Systems with Controlled Configuration, 2024, 255
A. A. Kilin, A. I. Klenov, V. A. Tenenev, “Upravlenie dvizheniem tela s pomoschyu vnutrennikh mass v vyazkoi zhidkosti”, Kompyuternye issledovaniya i modelirovanie, 10:4 (2018), 445–460
E. V. Vetchanin, V. A. Tenenev, A. A. Kilin, “Optimalnoe upravlenie dvizheniem v idealnoi zhidkosti tela s vintovoi simmetriei s vnutrennimi rotorami”, Kompyuternye issledovaniya i modelirovanie, 9:5 (2017), 741–759
E. V. Vetchanin, A. A. Kilin, “Upravlenie dvizheniem neuravnoveshennogo tyazhelogo ellipsoida v zhidkosti s pomoschyu rotorov”, Nelineinaya dinam., 12:4 (2016), 663–674
Anatolii I. Klenov, Alexander A. Kilin, “Influence of Vortex Structures on the Controlled Motion of an Above-water Screwless Robot”, Regul. Chaotic Dyn., 21:7 (2016), 927–938
E. V. Vetchanin, Yu. L. Karavaev, A. A. Kalinkin, A. V. Klekovkin, E. N. Pivovarova, “Model bezvintovogo podvodnogo robota”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 25:4 (2015), 544–553
E. V. Vetchanin, V. A. Tenenev, A. S. Shaura, “Upravlenie dvizheniem zhestkogo tela v vyazkoi zhidkosti”, Kompyuternye issledovaniya i modelirovanie, 5:4 (2013), 659–675
Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid”, Regul. Chaotic Dyn., 18:1 (2013), 100–117
S. M. Ramodanov, V. A. Tenenev, D. V. Treschev, “Samoprodvizhenie v idealnoi zhidkosti tela s tverdoi obolochkoi i peremennoi tsirkulyatsiei”, Nelineinaya dinam., 8:4 (2012), 799–813
E. Vetchanin, I. S. Mamaev, V. A. Tenenev, “Dvizhenie tela s peremennoi geometriei mass v vyazkoi zhidkosti”, Nelineinaya dinam., 8:4 (2012), 815–836
Sergey M. Ramodanov, Valentin A. Tenenev, Dmitry V. Treschev, “Self-propulsion of a Body with Rigid Surface and Variable Coefficient of Lift in a Perfect Fluid”, Regul. Chaotic Dyn., 17:6 (2012), 547–558