<p style='text-indent:20px;'>This paper examines the stabilization problem of axially moving Kirchhoff beam. Under nonlinear damping criterion established by slope-restricted condition, existence and uniqueness solutions closed-loop system equipped with time-delay disturbance at boundary is investigated via Faedo-Galerkin approximation method. Furthermore, solution continuously dependent ...

We analyze the effect of perturbations on the estimation of Depth from Defocus (DFD) implemented by changing the focus setting (e.g., axially moving the sensor). The analysis yields the optimal change of focus setting, and the spatial frequencies for which estimation is most robust. For stable estimation at all spatial frequencies, the change in focus setting should be less than twice the depth...

Significant motion artifacts may arise in conventional spectral-domain optical coherence tomography due to sample or probe motion during the exposure time of a CCD array. We show, for the first time to our knowledge, that the motion artifacts can be greatly reduced by short illumination of individual CCD pixels and that this can be accomplished by use of two distinct classes of light sources: b...

In this paper, a nonlinear axially moving string with the Kelvin-Voigt damping is considered. It is proved that the string is stable, i.e., its transversal displacement converges to zero when the axial speed of the string is less than a certain critical value. The proof is established by showing that a Lyapunov function corresponding to the string decays to zero exponentially. It is also shown ...

An investigation of 3-dimesional (3D) effects on electrical impedance tomography is reported. 3D effects in measurement, simulation and analytical models are described. A 3D attenuation range (75% attenuation) from the sensing plane is suggested as one third of process vessel’s diameter. The imaging trajectory of an axially moving object is found towards the central axis of a process vessel whe...

We report a simple optical setup to produce both axial and lateral structured illumination through a single objective lens. With a minimum of six full-field images obtained without moving either the sample or the microscope objective, 100 nm diameter fluorescent beads can be localized axially with an accuracy of 50 nm in a 1.76-microm-thick layer. We show that this axial localization improvemen...

This work summarises the impact of Coriolis forces on the formation of a vortex ring. The initial formation of the ring and subsequent transient migration to a steady structure is described, focussing on the processes by which the transition occurs. A side-by-side comparison of vortices generated with and without the impact of Coriolis forces is made using 3 component planar velocity field data...

We study the small vibrations of an axially travelling string with a dashpot damping at one end. The is modelled by wave equation in time-dependent interval two endpoints moving constant speed v. For undamped case, we obtain conserved functional equivalent to energy solution. derive precise upper and lower exponentially decaying estimates for explicit constants. These do not seem be reported li...

A modified finite difference method is presented to simulate transverse vibrations of an axially moving string. By discretizing the governing equation and the stress–strain relation at different frictional knots, two linear sparse finite difference equations are obtained, which can be computed alternatively. The numerical method makes the nonlinear model easier to deal with and of small truncat...