ISJ Theoretical & Applied Science 03(83) 2020

Philadelphia, USA

Indiaminov, R., Narkulov, A. S., & Zarpullaev, U. K.

Mathematical modeling of magnetoelastic vibrations of a rod in a magnetic field.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-83-60

DOI: https://dx.doi.org/10.15863/TAS.2020.03.83.60

Language: English

Citation: Indiaminov, R., Narkulov, A. S., & Zarpullaev, U. K. (2020). Mathematical modeling of magnetoelastic vibrations of a rod in a magnetic field. ISJ Theoretical & Applied Science, 03 (83), 327-332. Soi: http://s-o-i.org/1.1/TAS-03-83-60 Doi: https://dx.doi.org/10.15863/TAS.2020.03.83.60

Pages: 327-332

Published: 30.03.2020

Abstract: When solving geometrically nonlinear problems of magnetoelasticity in the theory of plates and shells, it is difficult, in a general case, to evaluate the effect of nonlinearity in determining their stress state. To evaluate such a process, nonlinear oscillations of an isotropic rod of constant cross section under the influence of the electromagnetic Lorentz force are considered. The obtained estimates for the rod also characterize the qualitative side of the behavior of flexible plates and shells in a magnetic field.

Key words: rod, shell, magnetic field, magneto elasticity.