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

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...

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Bibliographic Details
Published in:Doklady. a journal of the Russian Academy of Sciences. Physics 2020-02, Vol.65 (2), p.67-71
Main Authors: Morozov, N. F., Indeitsev, D. A., Lukin, A. V., Popov, I. A., Privalova, O. V., Shtukin, L. V.
Format: Article
Language:English
Subjects:
Bending moments
Classical Mechanics
Deflection
Euler-Bernoulli beams
Mathematical and Computational Physics
Mechanics
Motion stability
Physics
Physics and Astronomy
Theoretical
Wave propagation
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Summary: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.
ISSN:1028-3358
1562-6903
DOI:10.1134/S102833582002007X