this deals with the harmonic forced vibration of a circular plate surface bonded by two piezoelectric layers, based on the kirchhoff plate model. the form of electric potential field in the piezoelectric layer is assumed such that the maxwell static electricity equation is satisfied. the differential equations of motion are solved analytically for clamped edge boundary condition of the plate. t...

In this paper, a new three dimensional brick finite element based on the strain approach is presented with the purpose of identifying the most effective to analyze linear thick and thin plate bending problems. The developed element which has the three essential external degrees of freedom (U, V and W) at each of the eight corner nodes, is used with a modified elasticity matrix in order to satis...

The thin plate is a key structure in various musical instruments, including many percussion instruments and the soundboard of the piano, and also is the mechanism underlying electromechanical plate reverberation. As such, it is a suitable candidate for physical modelling approaches to audio effects and sound synthesis, such as finite difference methods—though great attention must be paid to the...

Introduction. Cylindrical and spherical shells are extensively used in engineering. They face internal and/or external pressure heat. Stresses strains distribution elastoplastic has been studied by many scientists. Numerous works involve the use of von Mises yield conditions, maximum shear stress, reduced stress. These condi- tions do not include dependence on first invariant stress tensor sign...

on the basis of the steady-state two-dimensional theory of thermoelasticity, stress field around various holes in infinite isotropic plate is discussed. the plate is subjected to uniform heat flux and thermal insulated condition along the hole boundary is assumed. by using the complex potential functions and by applying the conformal mapping and solving the integral equations, the effect of blu...

In this study, the vibration behavior of functional graded (FG) circular and annular nanoplate embedded in Visco-Pasternak foundation and coupled with temperature change is studied. It is assumed that a uniform radial magnetic field acts on the top surface of the plate and the magnetic permeability coefficient of the plate along its thickness are assumed to vary according to the volume distribu...

We consider the von Kármán nonlinearity and the Casimir force to develop reduced-order models for prestressed clamped rectangular and circular electrostatically actuated microplates. Reduced-order models are derived by taking flexural vibration mode shapes as basis functions for the transverse displacement. The in-plane displacement vector is decomposed as the sum of displacements for irrotatio...

Reciprocating diaphragm micro-pumps are the most common type among indirectly–driven micro-pumps. They operate by reciprocating the diaphragm with associated check valves. This paper addresses the Hydroelastic vibration of circular elastic diaphragm interacting with the incompressible and inviscid liquid inside the cylindrical chamber with a central discharge opening. Taking into account axisym...

Background: The first-order shear deformation theory (FSDT) for plates requires a shear correction factor due to the assumption of constant shear strain and shear stress across the thickness; hence, the shear correction factor strongly influences the accuracy of the deflection solution; the third-order shear deformation theory (TSDT) does not require a correction factor because it facilitates t...