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 purpose of this paper is to study the axisymmetric vibrations circular three-layered sandwich plates with a frequency-dependent fractional viscoelastic core and elastic face sheets. First, equations motion related boundary conditions are derived using Hamilton’s principle for free vibrations. Then, governing obtained various solved parametric studies carried out examine vibration behavior c...

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...