The analysis of the stress state of the flexible orthotropic shells under the action of variable time and variable mechanical force on the external electric time on, based on mechanical and electromagnetic orthotropy. We investigate the effect of the thickness on the stress-strain state of orthotropic shell. Nonlinear deformation of current-carrying orthotropic conic shells in the non stationary magnetic field is studied in ax symmetric statement. The results are indicative of the effect of shell thickness on the deformation and the need to take account of this factor in the calculation scheme.

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