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Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source. / Morozov, N. F.; Indeitsev, D. A.; Shtukin, L. V.

In: Doklady Physics, Vol. 65, No. 2, 01.02.2020, p. 67-71.

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

Harvard

Morozov, NF, Indeitsev, DA & Shtukin, LV 2020, 'Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source', Doklady Physics, vol. 65, no. 2, pp. 67-71. https://doi.org/10.1134/S102833582002007X

APA

Morozov, N. F., Indeitsev, D. A., & Shtukin, L. V. (2020). Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source. Doklady Physics, 65(2), 67-71. https://doi.org/10.1134/S102833582002007X

Vancouver

Morozov NF, Indeitsev DA, Shtukin LV. Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source. Doklady Physics. 2020 Feb 1;65(2):67-71. https://doi.org/10.1134/S102833582002007X

Author

Morozov, N. F. ; Indeitsev, D. A. ; Shtukin, L. V. / Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source. In: Doklady Physics. 2020 ; Vol. 65, No. 2. pp. 67-71.

BibTeX

@article{042d55ceb44c4b8dbe4c88bb06e04c4d,
title = "Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source",
abstract = "Abstract: In this work, the problem of the propagation of a deflection wave in a Bernoulli–Euler beam during motion of the thermal source is solved, and the influence of the thermal bending moment and longitudinal force is analyzed. It has been established that the concentrated bending moment moving together with the heated region boundary determines the mode of the deflection wave, but cannot lead to a significant increase in its amplitude. It is shown that the average longitudinal compressive force increases linearly with time during uniform motion of the heating source. For the initial parameters, such as the source motion velocity and the temperature, the values enabling a loss of stability and a significant increase in deflection have been found.",
keywords = "Bernoulli–Euler beam, nonstationary elastic waves, stability, temperature loads",
author = "Morozov, {N. F.} and Indeitsev, {D. A.} and Shtukin, {L. V.}",
note = "Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00414. Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = feb,
day = "1",
doi = "10.1134/S102833582002007X",
language = "English",
volume = "65",
pages = "67--71",
journal = "Doklady Physics",
issn = "1028-3358",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source

AU - Morozov, N. F.

AU - Indeitsev, D. A.

AU - Shtukin, L. V.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00414. Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - Abstract: In this work, the problem of the propagation of a deflection wave in a Bernoulli–Euler beam during motion of the thermal source is solved, and the influence of the thermal bending moment and longitudinal force is analyzed. It has been established that the concentrated bending moment moving together with the heated region boundary determines the mode of the deflection wave, but cannot lead to a significant increase in its amplitude. It is shown that the average longitudinal compressive force increases linearly with time during uniform motion of the heating source. For the initial parameters, such as the source motion velocity and the temperature, the values enabling a loss of stability and a significant increase in deflection have been found.

AB - Abstract: In this work, the problem of the propagation of a deflection wave in a Bernoulli–Euler beam during motion of the thermal source is solved, and the influence of the thermal bending moment and longitudinal force is analyzed. It has been established that the concentrated bending moment moving together with the heated region boundary determines the mode of the deflection wave, but cannot lead to a significant increase in its amplitude. It is shown that the average longitudinal compressive force increases linearly with time during uniform motion of the heating source. For the initial parameters, such as the source motion velocity and the temperature, the values enabling a loss of stability and a significant increase in deflection have been found.

KW - Bernoulli–Euler beam

KW - nonstationary elastic waves

KW - stability

KW - temperature loads

UR - http://www.scopus.com/inward/record.url?scp=85084286547&partnerID=8YFLogxK

U2 - 10.1134/S102833582002007X

DO - 10.1134/S102833582002007X

M3 - Article

AN - SCOPUS:85084286547

VL - 65

SP - 67

EP - 71

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 2

ER -

ID: 75068429