Nonlinear oscillations of a current-carrying shell in magnetic field

In studies of nonlinear magnetoelasticity problems of special interest is determination of the stress-strain state of current-carrying plates and shells on exposure to variable electromagnetic and mechanical fields with regard to anisotropic electroconductivity, magnetic and dielectric permittivity. Demand of these problems and interest in ones is conditioned by wide application in modern engineering as constructive elements of thin shells and plates, which are exposed to strong magnetic fields. These problems occur in modern technology, where such structures are used as protecting or bearing elements for shielding external fields of strong magnetic equipment. This interest is conditioned by the need to solve problems of electromagnetic compatibility with the development of modern measuring systems, computer devices, measurements of weak pulsed fields on the background of large fields, the development of the protection of personnel from electromagnetic effects, etc. Electromagnetic effects and stress state of a current-carrying orthotropic shell under the action of a time-variable mechanical force and a time-variable external electric current were analyzed in the paper taking into account mechanical and electromagnetic orthotropy. The results show the effect of orthotropic electroconductivity, external electric current and external magnetic field on the stress state of a shell.