Stability of the Bernoulli–Euler Beam in Coupled Electric and Thermal Fields
- Authors: Morozov N.F.1,2, Indeitsev D.A.3,1,2, Lukin A.V.3, Popov I.A.3, Privalova O.V.3, Shtukin L.V.3,1
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Affiliations:
- Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
- St. Petersburg State University
- Peter-the-Great St. Petersburg Polytechnical Universit
- Issue: Vol 63, No 8 (2018)
- Pages: 342-347
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/192428
- DOI: https://doi.org/10.1134/S1028335818080086
- ID: 192428
Cite item
Abstract
The problem of stable equilibrium of a Bernoulli–Euler beam with both ends fixed positioned in an electrostatic field under the action of a pulse laser is considered. The initial equilibrium position under the action of the electrostatic field has been obtained. It has been shown that there exist either two equilibrium positions of this kind—stable and unstable ones—or none in a sufficiently strong electric field. The temperature field in the beam under the action of a laser pulse has been found. The possibility to lose the stability of equilibrium under heating of the element by a laser pulse is suggested for the first time. Regions corresponding to the stability of the aforesaid equilibrium position in the space of pulse parameters have been determined.
About the authors
N. F. Morozov
Institute for Problems in Mechanical Engineering,Russian Academy of Sciences; St. Petersburg State University
Email: lukin_av@spbstu.ru
Russian Federation, St. Petersburg, 199178; St. Petersburg,
199034
D. A. Indeitsev
Peter-the-Great St. Petersburg Polytechnical Universit; Institute for Problems in Mechanical Engineering,Russian Academy of Sciences; St. Petersburg State University
Email: lukin_av@spbstu.ru
Russian Federation, St. Petersburgy,
, 195251 ; St. Petersburg, 199178; St. Petersburg,
199034
A. V. Lukin
Peter-the-Great St. Petersburg Polytechnical Universit
Author for correspondence.
Email: lukin_av@spbstu.ru
Russian Federation, St. Petersburgy,
, 195251
I. A. Popov
Peter-the-Great St. Petersburg Polytechnical Universit
Email: lukin_av@spbstu.ru
Russian Federation, St. Petersburgy,
, 195251
O. V. Privalova
Peter-the-Great St. Petersburg Polytechnical Universit
Email: lukin_av@spbstu.ru
Russian Federation, St. Petersburgy,
, 195251
L. V. Shtukin
Peter-the-Great St. Petersburg Polytechnical Universit; Institute for Problems in Mechanical Engineering,Russian Academy of Sciences
Email: lukin_av@spbstu.ru
Russian Federation, St. Petersburgy,
, 195251 ; St. Petersburg, 199178
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