Stability of the Bernoulli–Euler Beam in Coupled Electric and Thermal Fields


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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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