Axisymmetric vibration of an infinite piezolaminated multilayer hollow cylinder made of piezoelectric layers of 6mm class and an isotropic LEMV Linear Elastic Materials with Voids layers is studied. The frequency equations are obtained for the traction free outer surface with continuity conditions at the interfaces. Numerical results are carried out for the inner, middle, and outer hollow piezo...

We propose a mathematical model of vibration elastic systems formed by conjugated shells revolution with different geometry in the field combined static axisymmetric loads. The is based on concepts geometrically nonlinear theory mean bending and realized within framework classical Kirchhoff–Love use contemporary methods applied mathematics numerical analysis. spectral picture shell structure el...

Abstract The aim of the study is to analyse axisymmetric free vibration layered cylindrical shells filled with a quiescent fluid. fluid assumed be incompressible and inviscid. equations vibrations shell fluid, on longitudinal transverse displacement components are obtained using Love’s first approximation theory. solutions functions in separable form obtain system coupled differential terms fun...

This paper deals with the problem of active vibration control for a flexible axisymmetric membrane. mechanical system is equipped two piezoelectric circular chips where one them works as an actuator, whereas other used sensor. Both are glued on membrane, each side, and centered according to its axis symmetry. The model this obtained from finite element modelling, leading linear state-space mode...

This paper is concerned with a theoretical model of the head. Neuroanatomical and analytical considerations lead to a fluid-filled spherical shell as a first-generation model. The shell is considered thin, elastic, homogeneous, and isotropic. The shell equations includeboth membrane and bending effects in axisymmetric torsionless motion. The motion of the fluid is governed by the wave equation....

The free vibration of a fluid/structure system consisting of a cylindrical blockage submerged in a liquid enclosed by a cylindrical shell is investigated for the purpose of pipe line transportation monitoring. The wavenumbers are obtained and the reflection and transmission characteristics of these waves at the blockage interfaces are investigated theoretically. Reflection and transmission rati...

It is well known that most PDE problems defined over an axisymmetric domain can be efficiently solved by a Fourier based solution method. However, for many applications, the underlying computational domain is not entirely axisymmetric, but has one or several major axisymmetric subdomains. For such problems, an axisymmetric analysis method is not applicable, and a straightforward one can be inef...

this paper presents a mathematical model for the vibration analysis of a three-component piezoelectric force sensor. the cubic theory of weakly nonlinear electroelasticity is applied to the model for describing the electromechanical coupling effect in the piezoelectric sensing elements which operate in thickness-shear and thickness-stretch vibration modes. hamilton's principle is used to d...