Free vibration analysis of structronics shell

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An exact analysis for magneto-thermo-electro-elastic structronics shell is presented in this paper. The model was derived based on the first-order shear deformation shell theory involving Codazzi-Gauss geometrical discretion. The fundamental equation and its boundary conditions were derived using variational energy method. The generic forced-solution procedure for the response was derived, and its frequency parameters were evaluated in the simply supported boundary condition. Then, solution is obtained to evaluate the influence of magnetic and electric parameters on the structure frequencies. Whereas, result have shown a close agreement with alternative models that reported in literature. The present results may serve as a reference in developing of various sensors/actuators that formed from magneto-electro-elastic materials. Accordingly, the present results could improve the benchmark solutions for judging the existence of imprecise theories and other numerical approaches