Optimal control of parametric oscillations of compressed flexible bars

Standard

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. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 080004 (AIP Conference Proceedings; Vol. 1959).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Alesova, IM , Babadzanjanz, LK , Pototskaya, IY , Pupysheva, YY & Saakyan, AT 2018, Optimal control of parametric oscillations of compressed flexible bars. in EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (eds), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics., 080004, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics: 8th Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034721

APA

Alesova, I. M., Babadzanjanz, L. K., Pototskaya, I. Y., Pupysheva, Y. Y., & Saakyan, A. T. (2018). Optimal control of parametric oscillations of compressed flexible bars. In E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Eds.), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics [080004] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034721

Vancouver

Alesova IM , Babadzanjanz LK , Pototskaya IY , Pupysheva YY , Saakyan AT. Optimal control of parametric oscillations of compressed flexible bars. In Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, editors, 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. American Institute of Physics. 2018. 080004. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034721

Author

Alesova, I. M. ; Babadzanjanz, L. K. ; Pototskaya, I. Yu ; Pupysheva, Yu Yu ; Saakyan, A. T. / Optimal control of parametric oscillations of compressed flexible bars. 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. editor / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{c7a1cc7ff2cf48fba599f26d3a7173bd,

title = "Optimal control of parametric oscillations of compressed flexible bars",

abstract = "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.",

author = "Alesova, {I. M.} and Babadzanjanz, {L. K.} and Pototskaya, {I. Yu} and Pupysheva, {Yu Yu} and Saakyan, {A. T.}",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s). Copyright: Copyright 2018 Elsevier B.V., All rights reserved.; International Scientific Conference on Mechanics: 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",

year = "2018",

month = may,

day = "2",

doi = "10.1063/1.5034721",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

editor = "Kustova, {Elena V.} and Leonov, {Gennady A.} and Yushkov, {Mikhail P.} and Morosov, {Nikita F.} and Mekhonoshina, {Mariia A.}",

booktitle = "8th Polyakhov's Reading",

address = "United States",

}

RIS

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.

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