Standard

Physical and mathematical simulation of bridge segment oscillations. / Shmigirilov, R. V.; Ryabinin, A. N.

в: Journal of Physics: Conference Series, Том 1959, № 1, 012044, 01.07.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование

Harvard

Shmigirilov, RV & Ryabinin, AN 2021, 'Physical and mathematical simulation of bridge segment oscillations', Journal of Physics: Conference Series, Том. 1959, № 1, 012044. https://doi.org/10.1088/1742-6596/1959/1/012044

APA

Shmigirilov, R. V., & Ryabinin, A. N. (2021). Physical and mathematical simulation of bridge segment oscillations. Journal of Physics: Conference Series, 1959(1), [012044]. https://doi.org/10.1088/1742-6596/1959/1/012044

Vancouver

Shmigirilov RV, Ryabinin AN. Physical and mathematical simulation of bridge segment oscillations. Journal of Physics: Conference Series. 2021 Июль 1;1959(1). 012044. https://doi.org/10.1088/1742-6596/1959/1/012044

Author

Shmigirilov, R. V. ; Ryabinin, A. N. / Physical and mathematical simulation of bridge segment oscillations. в: Journal of Physics: Conference Series. 2021 ; Том 1959, № 1.

BibTeX

@article{4ba6ca93330a4f6fa9dd6c3e991ffca9,
title = "Physical and mathematical simulation of bridge segment oscillations",
abstract = "On the basis of known mathematical models describing vibrations in the gas flow of a bluff body with one degree of freedom, a model of vibrations of a body with two degrees of freedom is obtained. The Krylov-Bogolyubov method is applied. Equations for slowly varying amplitudes and phase shift of vibrations are obtained. It turned out that the differential equations written for the squares of dimensionless amplitudes of translational and rotational vibrations coincide with the well-known Lotka-Volterra equations describing competition between two species of animals that eat the same food. In a wind tunnel, the change of modes of vibrations of the bridge segment predicted by a mathematical model is studied.",
author = "Shmigirilov, {R. V.} and Ryabinin, {A. N.}",
note = "Publisher Copyright: {\textcopyright} 2021 Published under licence by IOP Publishing Ltd.; International Scientific Conference on Mechanics {"}The Ninth Polyakhov's Reading{"}, ISCM 2021 ; Conference date: 09-03-2021 Through 12-03-2021",
year = "2021",
month = jul,
day = "1",
doi = "10.1088/1742-6596/1959/1/012044",
language = "English",
volume = "1959",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Physical and mathematical simulation of bridge segment oscillations

AU - Shmigirilov, R. V.

AU - Ryabinin, A. N.

N1 - Publisher Copyright: © 2021 Published under licence by IOP Publishing Ltd.

PY - 2021/7/1

Y1 - 2021/7/1

N2 - On the basis of known mathematical models describing vibrations in the gas flow of a bluff body with one degree of freedom, a model of vibrations of a body with two degrees of freedom is obtained. The Krylov-Bogolyubov method is applied. Equations for slowly varying amplitudes and phase shift of vibrations are obtained. It turned out that the differential equations written for the squares of dimensionless amplitudes of translational and rotational vibrations coincide with the well-known Lotka-Volterra equations describing competition between two species of animals that eat the same food. In a wind tunnel, the change of modes of vibrations of the bridge segment predicted by a mathematical model is studied.

AB - On the basis of known mathematical models describing vibrations in the gas flow of a bluff body with one degree of freedom, a model of vibrations of a body with two degrees of freedom is obtained. The Krylov-Bogolyubov method is applied. Equations for slowly varying amplitudes and phase shift of vibrations are obtained. It turned out that the differential equations written for the squares of dimensionless amplitudes of translational and rotational vibrations coincide with the well-known Lotka-Volterra equations describing competition between two species of animals that eat the same food. In a wind tunnel, the change of modes of vibrations of the bridge segment predicted by a mathematical model is studied.

UR - http://www.scopus.com/inward/record.url?scp=85111976111&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1959/1/012044

DO - 10.1088/1742-6596/1959/1/012044

M3 - Conference article

AN - SCOPUS:85111976111

VL - 1959

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012044

T2 - International Scientific Conference on Mechanics "The Ninth Polyakhov's Reading", ISCM 2021

Y2 - 9 March 2021 through 12 March 2021

ER -

ID: 84642995