Abstract
The resonance phenomenon is for the first time investigated in anisotropic and functionally graded anisotropic nano-size structure. The structure is considered as a doubly curved shell which is modeled exploiting a quasi-three-dimensional model and nonlocal strain gradient theory in order to predict the small-size effects. The doubly-curved nanoshell is made from aragonite with an orthorhombic crystal system. The corresponding governing equations and boundary conditions, which include simply supported edges, are obtained using Hamilton principle. Then, an analytical technique based Navier solution procedure is used for the dynamic problem in which the double Fourier series has been applied to satisfy the conditions in edges. The extended numerical examples have been shown the sensitivity of resonance position to geometrical parameters, small-size parameters, and the shape of shell panels. Furthermore, we provide a comparison between the present anisotropic model with its isotropic one to ignore the complexity in equations.
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