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An Exact 3D Shell Model for Free Vibration Analysis of Magneto-Electro-Elastic Composite Structures

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Publicado en:Journal of Composites Science vol. 9, no. 8 (2025), p. 399-427
Autor principal: Brischetto Salvatore
Otros Autores: Cesare Domenico, Mondino Tommaso
Publicado:
MDPI AG
Materias:
Spherical shells
Investigations
Cylindrical shells
Reference systems
Closed form solutions
Magnetic fields
Electric fields
Matrix methods
Transverse shear
Mathematical models
Vibration analysis
Composite structures
Finite element analysis
Normal stress
Free vibration
Magnetic induction
Vibration mode
Boundary conditions
Thickness
Benchmarks
Smart structures
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Resumen:The present paper proposes a three-dimensional (3D) spherical shell model for the magneto-electro-elastic (MEE) free vibration analysis of simply supported multilayered smart shells. A mixed curvilinear orthogonal reference system is used to write the unified 3D governing equations for cylinders, cylindrical panels and spherical shells. The closed-form solution of the problem is performed considering Navier harmonic forms in the in-plane directions and the exponential matrix method in the thickness direction. A layerwise approach is possible, considering the interlaminar continuity conditions for displacements, electric and magnetic potentials, transverse shear/normal stresses, transverse normal magnetic induction and transverse normal electric displacement. Some preliminary cases are proposed to validate the present 3D MEE free vibration model for several curvatures, materials, thickness values and vibration modes. Then, new benchmarks are proposed in order to discuss possible effects in multilayered MEE curved smart structures. In the new benchmarks, first, three circular frequencies for several half-wave number couples and for different thickness ratios are proposed. Thickness vibration modes are shown in terms of displacements, stresses, electric displacement and magnetic induction along the thickness direction. These new benchmarks are useful to understand the free vibration behavior of MEE curved smart structures, and they can be used as reference for researchers interested in the development of of 2D/3D MEE models.
ISSN:2504-477X
DOI:10.3390/jcs9080399
Fuente:Materials Science Database