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....

Thermoelastic damping in contour-mode in-plane vibrations of rings, disks, and elliptical plates is investigated on various size scales, using a reduced finite element formulation. The Fourier scheme is applied to the axisymmetric geometries including circular rings and disks, and is found to be remarkably efficient in searching solutions. The numerical accuracy is further improved by the imple...

One-dimensional nanomechanical resonators based on nanowires and nanotubes have emerged as promising candidates for mass sensors. When the resonator is clamped at one end and the atoms or molecules being measured land on the other end (which is free to vibrate), the resonance frequency of the device decreases by an amount that is proportional to the mass of the atoms or molecules. However, atom...

Analysis of piezoelectric transducers is often based on one-dimensional methods such as equivalent circuits and transmission line models. This implies that the vibrational pattern is presumed rather than found by the analysis. The presumptions are valid only for simple geometries such as thin plates. The finite element method can determine the nature of the vibrations and is applicable to any g...

Axisymmetric vibrations of a statically buckled polar orthotropic circular plate due to uniform temperature rise have been studied numerically. Effects of geometric nonlinearities have been incorporated into the problem formulation. The problem is challenging because the buckled configuration is unknown a priori. By assuming that the amplitude of plate’s vibration and the additional strains ind...

The article deals with forced vibrations of a high-rise axisymmetric structure, represented as viscoelastic beam an annular section variable slope the generatrices and thickness. research was conducted to analyze behavior structure for various kinematic effects. task is determine displacements points at different time under methods were developed computer program built; structures actions, cons...