Standard

Control of localized non-linear strain waves in complex crystalline lattices. / Porubov, A. V.; Antonov, I. D.; Fradkov, A. L.; Andrievsky, B. R.

In: International Journal of Non-Linear Mechanics, Vol. 86, 11.2016, p. 174-184.

Research output: Contribution to journal › Article › peer-review

Harvard

Porubov, AV, Antonov, ID, Fradkov, AL & Andrievsky, BR 2016, 'Control of localized non-linear strain waves in complex crystalline lattices', International Journal of Non-Linear Mechanics, vol. 86, pp. 174-184. https://doi.org/10.1016/j.ijnonlinmec.2016.09.002

APA

Porubov, A. V., Antonov, I. D., Fradkov, A. L., & Andrievsky, B. R. (2016). Control of localized non-linear strain waves in complex crystalline lattices. International Journal of Non-Linear Mechanics, 86, 174-184. https://doi.org/10.1016/j.ijnonlinmec.2016.09.002

Vancouver

Porubov AV, Antonov ID, Fradkov AL, Andrievsky BR. Control of localized non-linear strain waves in complex crystalline lattices. International Journal of Non-Linear Mechanics. 2016 Nov;86:174-184. https://doi.org/10.1016/j.ijnonlinmec.2016.09.002

Author

Porubov, A. V. ; Antonov, I. D. ; Fradkov, A. L. ; Andrievsky, B. R. / Control of localized non-linear strain waves in complex crystalline lattices. In: International Journal of Non-Linear Mechanics. 2016 ; Vol. 86. pp. 174-184.

BibTeX

@article{d127070c8097431b811c8a0de946709d,
title = "Control of localized non-linear strain waves in complex crystalline lattices",
abstract = "The distributed feedback control is developed to support propagation of localized non-linear waves for the double sine-Gordon equation and the dispersive sine-Gordon equation previously obtained for the description of dynamic processes in complex crystalline lattices. The control allows the propagation of both bell-shaped and kink-shaped waves with permanent shape and velocity, with a functional form which does not correspond to the known analytical solutions of the equations. The results might be used for choosing external loading providing desired strain localization or variations in the internal structure of the lattice. (C) 2016 Elsevier Ltd. All rights reserved.",
keywords = "Crystalline lattice, Non-linear strain wave, Feedback control, Numerical solution, SINE-GORDON EQUATION, DISTRIBUTED SYSTEMS, SOLITON DYNAMICS, FEEDBACK-CONTROL, CHAIN, MODEL",
author = "Porubov, {A. V.} and Antonov, {I. D.} and Fradkov, {A. L.} and Andrievsky, {B. R.}",
year = "2016",
month = nov,
doi = "10.1016/j.ijnonlinmec.2016.09.002",
language = "Английский",
volume = "86",
pages = "174--184",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Control of localized non-linear strain waves in complex crystalline lattices

AU - Porubov, A. V.

AU - Antonov, I. D.

AU - Fradkov, A. L.

AU - Andrievsky, B. R.

PY - 2016/11

Y1 - 2016/11

N2 - The distributed feedback control is developed to support propagation of localized non-linear waves for the double sine-Gordon equation and the dispersive sine-Gordon equation previously obtained for the description of dynamic processes in complex crystalline lattices. The control allows the propagation of both bell-shaped and kink-shaped waves with permanent shape and velocity, with a functional form which does not correspond to the known analytical solutions of the equations. The results might be used for choosing external loading providing desired strain localization or variations in the internal structure of the lattice. (C) 2016 Elsevier Ltd. All rights reserved.

AB - The distributed feedback control is developed to support propagation of localized non-linear waves for the double sine-Gordon equation and the dispersive sine-Gordon equation previously obtained for the description of dynamic processes in complex crystalline lattices. The control allows the propagation of both bell-shaped and kink-shaped waves with permanent shape and velocity, with a functional form which does not correspond to the known analytical solutions of the equations. The results might be used for choosing external loading providing desired strain localization or variations in the internal structure of the lattice. (C) 2016 Elsevier Ltd. All rights reserved.

KW - Crystalline lattice

KW - Non-linear strain wave

KW - Feedback control

KW - Numerical solution

KW - SINE-GORDON EQUATION

KW - DISTRIBUTED SYSTEMS

KW - SOLITON DYNAMICS

KW - FEEDBACK-CONTROL

KW - CHAIN

KW - MODEL

U2 - 10.1016/j.ijnonlinmec.2016.09.002

DO - 10.1016/j.ijnonlinmec.2016.09.002

M3 - статья

VL - 86

SP - 174

EP - 184

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

ID: 13719807