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Bernoulli-Euler Beam Under Action of a Moving Thermal Source: Characteristics of the Dynamic Behavior

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Abstract

The problem of a heating source acting on a certain part of a beam surface and moving along it with given speed \({v}\) is solved. It is shown that the most significant role in formation of the beam deflection under loading by a compression force is played by concentrated moments occurring at the moving boundary of the heating source. It is noted that for a source speed less than some critical value, the beam deflection is essentially nonmonotonic. In this case, the largest beam bending deflection occurs when the source speed reaches a value corresponding to the Euler critical force.

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FUNDING

This study was supported by the Russian Science Foundation, project no. 15-19-00182.

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, 199178, St. Petersburg, Russia

    N. F. Morozov,  D. A. Indeitsev, B. N. Semenov & L. V. Shtukin

  2. Peter the Great St. Petersburg Polytechnic University, 195251, St. Petersburg, Russia

    D. A. Indeitsev, A. V. Lukin, I. A. Popov, O. V. Privalova & L. V. Shtukin

  3. St. Petersburg State University, 199034, St. Petersburg, Russia

    N. F. Morozov,  D. A. Indeitsev & B. N. Semenov

Authors
  1. N. F. Morozov
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  2. D. A. Indeitsev
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  3. A. V. Lukin
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  4. I. A. Popov
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  5. O. V. Privalova
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  6. B. N. Semenov
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  7. L. V. Shtukin
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Corresponding author

Correspondence to O. V. Privalova.

Additional information

Translated by N. Podymova

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Morozov, N.F., Indeitsev, D.A., Lukin, A.V. et al. Bernoulli-Euler Beam Under Action of a Moving Thermal Source: Characteristics of the Dynamic Behavior. Dokl. Phys. 64, 185–188 (2019). https://doi.org/10.1134/S1028335819040050

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  • DOI: https://doi.org/10.1134/S1028335819040050

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