Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
Optimal control of parametric oscillations of compressed flexible bars. / Alesova, I. M.; Babadzanjanz, L. K.; Pototskaya, I. Yu; Pupysheva, Yu Yu; Saakyan, A. T.
8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. ред. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 080004 (AIP Conference Proceedings; Том 1959).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
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TY - GEN
T1 - Optimal control of parametric oscillations of compressed flexible bars
AU - Alesova, I. M.
AU - Babadzanjanz, L. K.
AU - Pototskaya, I. Yu
AU - Pupysheva, Yu Yu
AU - Saakyan, A. T.
N1 - Publisher Copyright: © 2018 Author(s). Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/5/2
Y1 - 2018/5/2
N2 - In this paper the problem of damping of the linear systems oscillations with piece-wise constant control is solved. The motion of bar construction is reduced to the form described by Hill's differential equation using the Bubnov-Galerkin method. To calculate switching moments of the one-side control the method of sequential linear programming is used. The elements of the fundamental matrix of the Hill's equation are approximated by trigonometric series. Examples of the optimal control of the systems for various initial conditions and different number of control stages have been calculated. The corresponding phase trajectories and transient processes are represented.
AB - In this paper the problem of damping of the linear systems oscillations with piece-wise constant control is solved. The motion of bar construction is reduced to the form described by Hill's differential equation using the Bubnov-Galerkin method. To calculate switching moments of the one-side control the method of sequential linear programming is used. The elements of the fundamental matrix of the Hill's equation are approximated by trigonometric series. Examples of the optimal control of the systems for various initial conditions and different number of control stages have been calculated. The corresponding phase trajectories and transient processes are represented.
UR - http://www.scopus.com/inward/record.url?scp=85047187732&partnerID=8YFLogxK
U2 - 10.1063/1.5034721
DO - 10.1063/1.5034721
M3 - Conference contribution
AN - SCOPUS:85047187732
T3 - AIP Conference Proceedings
BT - 8th Polyakhov's Reading
A2 - Kustova, Elena V.
A2 - Leonov, Gennady A.
A2 - Yushkov, Mikhail P.
A2 - Morosov, Nikita F.
A2 - Mekhonoshina, Mariia A.
PB - American Institute of Physics
T2 - International Scientific Conference on Mechanics: 8th Polyakhov's Reading
Y2 - 29 January 2018 through 2 February 2018
ER -
ID: 73213529