This paper investigates the parametric stability of an axially moving web subjected to non-uniform in-plane edge excitations on two opposite, simply-supported edges. The web is modeled as a viscoelastic plate whose constitutive relation obeys the Kelvin-Voigt model, and the in-plane edge excitations are expressed as the sum of a static tension and a periodical perturbation. Due to the in-plane ...

In this paper we present a super-resolving approach for detecting an axially moving target that is based upon a time-multiplexing concept and that overcomes the diffraction limit set by the optics of an imaging camera by a priori knowledge of the high-resolution background in front of which the target is moving. As the movement trajectory is axial, the approach can be applied to targets that ar...

We study the symmetry property of extremal functions to a family of weighted Sobolev inequalities due to Caffarelli-Kohn-Nirenberg. By using the moving plane method, we prove that all non-radial extremal functions are axially symmetric with respect to a line passing through the origin.

The stabilization of the transverse vibration of an axially moving string is implemented using time-varying control of either the boundary transverse motion or the external boundary forces. The total mechanical energy of the translating string is a Lyapunov functional and boundary control laws are designed to dissipate the total vibration energy of the string at the left and/or right boundary. ...

In this paper, a robust vibration control scheme of the axially moving steel strip in the zinc galvanizing line is considered. The boundary control force is applied to the strip through the two touch rolls connected to a hydraulic actuator. The mathematical model of the system, which consists of a partial differential equation describing the dynamics of the traveling steel strip and an ordinary...

In this paper, both linear and non-linear dynamics of a slender uniform pipe conveying pulsating fluid, which is axially moving in an incompressible are comprehensively studied. The vibration equations the system established by considering various factors, including coordinate conversion system, “axial added mass coefficient” describing additional inertia forces caused external Kelvin–Voigt vis...