In this research, the surface stress effect on the nonlocal vibration of piezoelectric square plate reinforced by single walled carbon nanotubes (SWCNTs) based on classical plate theory (CPT) and first order shear deformation theory (FSDT) is presented. The elastic properties of piezoelectric nanocomposite plate are estimated by Eshelby-Mori-Tanaka and the extended mixture rule approaches. The ...

The generalized plane quasistatic deformations of linear piezoelectric laminated plates are analyzed by the Eshelby–Stroh formalism. The laminate consists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width. The three-dimensional differential equations of equilibrium for a piezoelectric body are exactly satisŽ ed at every point in the body. The analytical solution i...

The active vibration control of laminated composite plates using distributed piezoelectric sensors and actuators (Fig. 1) is studied numerically with a higher-order finite element method (FEM). Reddy’s simplified higher-order theory for transverse shear deformation, which is found to be much more accurate for both thin and thick composite plates as compared with other theories, is employed for ...

This paper addresses the influence of boundary conditions and small-scale effect on the free vibration of nano-plates using molecular dynamics (MD) and nonlocal elasticity theory. Based on the MD simulations, Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) is used to obtain fundamental frequencies of single layered graphene sheets (SLGSs) which modeled in this paper as the mo...

In this study, based on nonlocal differential constitutive relations of Eringen, the first order shear deformation theory of plates (FSDT) is reformulated for vibration of nano-plates considering the initial geometric imperfection. The dynamic analog of the von Kármán nonlinear strain-displacement relations is used to derive equations of motion for the nano-plate. When dealing with nonlineariti...

The aim of this article is to analyze nonlinear electro-magneto vibration of a double-piezoelectric composite microplate-system (DPCMPS) pursuant to the nonlocal piezoelasticity theory. The two microplates are assumed to be connected by an enclosing elastic medium, which is simulated by the Pasternak foundation. Both of piezoelectric composite microplates are made of poly-vinylidene fluoride (P...

Nonlocal vibration of double-smart nanobeam-systems (DSNBSs) under a moving nanoparticle is investigated in the present study based on Timoshenko beam model. The  two  smart  nanobeams (SNB) are  coupled  by  an  enclosing  elastic  medium  which  is  simulated  by  Pasternak foundation. The energy method and Hamilton’s principle are used to establish the equations of motion. The detailed param...

in this article, an analytical solution is developed to study the free vibration analysis offunctionally graded rectangular nanoplates. the governing equations of motion are derived basedon second order shear deformation theory using nonlocal elasticity theory. it is assumed that thematerial properties of nanoplate vary through the thickness according to the power lawdistribution. our numerical...

the levy-type analytical solution is employed for the problem of bending of cross-ply and antisymmetric angle-ply piezoelectric hybrid laminated plates with at least two simply supported opposite edges. the governing equations of equilibrium are derived in the framework of the first-order shear deformation plate theory. the equations are classified according to the crystallography type of piezo...

ALEXANDRE L. MADUREIRA Abstract. We use variational techniques to derive a class of two-dimensional models for three-dimensional linearly elastic piezoelectric plates. The models result from a mixed formulation for the original problem within spaces of functions with polynomial dependence in the transverse direction. We show that the resulting system of equations is well-posed, and then discuss...