In this paper, the general governing equations of three-dimensional vibrations of an Euler-Bernoulli Beam under influences of system dynamics are derived by the Hamiltonian method. Then two fundamental cases of a cantilever beam and a rotating beam are considered. The conventional methods for vibration suppression debit to expenses and make new problems such as control spillover because they ar...

We present a systematic analysis of the eigenvalue problem associated with free vibrations of a finite piezoelectric body. The analysis is based on an abstract formulation of the three-dimensional theory of piezoelectricity. A series of fundamental properties of free vibrations of a piezoelectric body are proved concisely. The problem of free vibrations of a piezoelectric plate governed by the ...

Chatter vibrations are present in almost all cutting operations and they are the major obstacles in achieving desired surface finish. Chatter vibrations are the self excited vibrations, which has an adverse effect on surface roughness, dimensional accuracy of the machined components. This paper investigates the occurrence of regenerative chatter vibrations in centerless bar turning operation. T...

The purpose of this paper is to study the effect of presence of fluid within and around a poroelastic circular cylindrical shell of infinite extent on axially symmetric vibrations. The frequency equation each for a pervious and an impervious surface is obtained employing Biot’s theory. Radial vibrations and axially symmetric shear vibrations are uncoupled when the wavenumber is vanished. The pr...

A procedure for calculating the amplitudes of the normal and tangential components of the displacement vector of three-dimensional vibrations of any point on the surface of mechanical wave system is proposed on the basis of experimental holographic interfrometry data and the theory of vibrations of mechanical systems The problem of determination the amplitude – frequency response characteristic...

Spectrograms provide a visual representation of the vibrations of civil aircraft engines. The vibrations contain information relative to damage in the engine, if any. This representation is noisy, high dimensional and the relevant signatures relative to damages concern only a small part of the spectrogram. All these arguments lead to difficulties to automatically detect anomalies in the spectro...

Dynamic tactile sensing allows humans to infer surface and material properties from the vibrations caused by the sliding motion between the skin and an object [1]. For example, one can easily determine the roughness of a surface by sliding one’s finger tip over the surface [2]. This sensory modality is also fundamental for tool usage, as it detects the vibrations resulting from the tool making ...

This paper introduces the concept of Fourier knot. A Fourier knot is a knot that is represented by a parametrized curve in three dimensional space such that the three coordinate functions of the curve are each finite Fourier series in the parameter. That is, the knot can be regarded as the result of independent vibrations in each of the coordinate directions with each of these vibrations being ...