The dynamics of ultrasonic vibration drills having the common source of rotational and reciprocal movement of the driven element has been examined. The method, the mathematical model and the specific software for the calculation of the dynamic characteristics of the drills have been developed, with regard to the power limitation of the source, namely the rod ultrasonic vibrating system. The loa...

An atom attached to a micrometer-scale wire that is vibrating at a frequency ∼100 MHz and with displacement amplitude ∼1 nm experiences an acceleration magnitude ∼109 m s−2, approaching the surface gravity of a neutron star. As one application of such extreme noninertial forces in a mesoscopic setting, we consider a model two-path atom interferometer with one path consisting of the 100 MHz vibr...

We report the investigation of vortex emission by a vibrating wire in superfluid 3He-B at a pressure of 28 bar. We used two vibrating wires with 47 Hz and 183 Hz resonance frequencies as a generator and a detector of vortices. The onset velocity of vortex emission for the 183 Hz vibrating wire is higher than a pair-breaking velocity, indicating that pair breaking causes vortex generation. In co...

Flow induced vibration of a tethered body submerged within a uniform flow represents a fundamental example of fluid-structure interaction. However, little research in this field has been undertaken. This paper presents results from a direct numerical simulation of the flow past a tethered cylinder with mass ratio less than 1. The Navier-Stokes and dynamic equations of motion of the cylinder are...

This paper deals with a pole assignment problem by single-input state feedback control arising from a one-dimensional vibrating system with aerodynamic effect. On the practical side, we derive explicit formulae for the required controlling force terms, which can reassign part of the spectrum to the desired values while leaving the remaining spectrum unchanged. On the mathematical side, unlike t...

Finding the thermoelastic damping in a vibrating body, for the most general case, involves the simultaneous solving of the three equations for displacements and one equation for temperature (called the heat equation). Since these are a set of coupled nonlinear partial differential equations there is considerable difficulty in solving them, especially for finite geometries. This paper presents a...

The resonance properties of a vibrating rod with an inhomogeneous perturbation of mass density are studied. The existence of low and high frequency eigenvibrations is proved and the asymptotic expansions of both types are constructed and justified. In order to approximate high frequency eigenvibrations the combination of power series and WKB-expansions is applied along with a quantization of a ...

Abstract In plasmas the atoms are dissociated into ions and free electrons. Due to high mobility of electrons, a vibrating medium. As result, plasma frequency can be determined, which is an important parameter for characterizing material. this study, visualized. For purpose, mathematical model will set up describe electron kinetics. The electrons briefly deflected with force against static ion ...