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Acoustic radiation due to vibration and impact of a spring-mass-damper oscillator whose motion is constrained by a barrier is analyzed at a field point in a free field. Impact between the mass and the barrier is modeled using a coefficient of restitution model. Non-linear behavior of the oscillator is observed due to motion constraint. Steady state response is studied using a bifurcation diagram. For small amplitudes of oscillation, the pressure perturbation by a vibrating mass in a compressible fluid is modeled as an acoustic dipole with its center at the equilibrium position of the mass and its axis aligned with the motion of the oscillator. The boundary condition for the acoustic domain is an acoustic free-field condition. It is observed that the unsteady acoustic pressure resulting from the impact force is a few orders of magnitude greater relative to the pressure field resulting from vibration alone before or after impact. We also analyzed the influence of coefficient of restitution, damping ratio, the ration of base excitation frequency to the natural frequency, and the ratio of the distance of the barrier to the base excitation amplitude on the acoustic radiation. Damping ratio and coefficient of restituion are shown to be the most significant paramters that affect the acoustic radiation from the vibro-impact oscillator.
The growth rate of material interfaces is an important proxy for mixing and reaction rates in fluid dynamics, and can also be used to identify regions of coherence. Estimating such growth rates can be difficult, since they depend on detailed properti
For a limited set of impact conditions, a drop impacting onto a pool can entrap an air bubble as large as its own size. The subsequent rise and rupture of this large bubble plays an important role in aerosol formation and gas transport at the air-sea
The dynamics of periodic swimming is studied for two models of a deformable sphere, the dipole-quadrupole model and the quadrupole-octupole model. For the two models the solution of the Navier-Stokes equations can be found exactly to second order in
We study generation of magnetic fields involving large spatial scales by time- and space-periodic small-scale parity-invariant flows. The anisotropic magnetic eddy diffusivity tensor is calculated by the standard procedure involving expansion of magn
We report the generation of directed self-propelled motion of a droplet of aniline oil with a velocity on the order of centimeters per second on an aqueous phase. It is found that, depending on the initial conditions, the droplet shows either circula