Abstract
The analysis of the stress state of a flexible orthotropic shell under the influence of a time-varying mechanical force and a time-varying external electric current is performed, taking into account the mechanical and electromagnetic orthotropy. The effect of thickness on the stress-strain state of the orthotropic shell is investigated. The results obtained indicate the influence of thickness on the deformation of the shell and the need to take this factor into account in the design schemes.
Highlights
The development of research in the theory of magnetoelasticity is associated with the solution of many important problems of modern technology
Such tasks arise in the development of electromagnetic pumps, magnetohydrodynamic accelerators, instrumentation that works with electromagnetic fields, the imposition of magnetic fields in controlling the movement of plasma, in the flow in an elastic shell, the calculation of protective shields, atomic reactors, setting up some physical experiments, etc
The construction of optimal designs of modern technology operating in magnetic fields is associated with the wide use of structural elements, such as flexible thin-walled shells
Summary
The development of research in the theory of magnetoelasticity is associated with the solution of many important problems of modern technology. To effectively use the proposed technique, we assume that when an external magnetic field appears, there are no sharp skin effects along the shell thickness and an electromagnetic process along the coordinate ζ quickly goes to a mode close to steady This leads to restrictions on the nature of changes in the external magnetic field and on the geometric and electrophysical parameters of the shell. In this formulation, the system of equations describing the nonlinear oscillations of a flexible current-carrying orthotropic conical shell of variable thickness on the corresponding time layer, according to [5, 6], after applying the quasi-linearization method, takes the form du(k+1) dm.
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