The inverse problem of real-time reconstruction of full-field structural displacements is addressed through the application of a new variational formulation leading to versatile, robust and computationally efficient inverse shell finite element analysis. Utilizing surface strain measurements from strain sensors mounted on the load-carrying structural components, the methodology enables accurate...

Phononic crystals (PCs) are periodic structures obtained by the spatial arrangement of materials with contrasting properties, which can be designed to efficiently manipulate mechanical waves. Plate modeled using Mindlin–Reissner plate theory and have been extensively used analyze dispersion relations PCs. Although analysis propagating characteristics PCs may sufficient for simple elastic struct...

Free vibration and wave analysis of thick rectangular graphene are studied by employing the propagation method. To consider small-scale effects thickness a plate in nanoscales, equations motions represented Eringen nonlocal theory coupled with Mindlin plates. solve governing motion technique, reflection matrices derived. These combined to obtain exact natural frequencies sheets for all six poss...

in this paper, a nonlinear free vibration analysis of thin annular functionally graded (fg) plate integrated with two uniformly distributed actuator layers made of piezoelectric (pzt4) material on the top and bottom surfaces of the annular fg plate is presented based on kirchhoff plate theory. the material properties of the fgm core plate are assumed to be graded in the thickness direction acco...

Thickness-shear vibrations of a plate is one of the most widely used functioning modes of quartz crystal resonators. For an analysis of vibrations, the Mindlin and Lee plate theories based on the displacement expansion of the thickness coordinate have been used as the linear theories. However, due to lacking of available method and complexity of the problem, the nonlinear thickness-shear vibrat...

We present a compact, linearized theory for the quasi-static deformation of elastic materials whose stored energy depends on the first two gradients of the displacement (2 nd -grade elastic materials). The theory targets two main issues: (i) the mechanical interpretation of the boundary conditions and (ii) the analytical form and physical interpretation of the relevant stress fields in the sens...