Vibration dissipation of an axially traveling string with boundary damping
نویسندگان
چکیده
منابع مشابه
Vibration Control of an Axially Moving String by Boundary Control*
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. ...
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Transversal vibrations of an axially moving string under boundary damping are investigated. Mathematically, it represents a homogenous linear partial differential equation subject to nonhomogeneous boundary conditions. The string is moving with a relatively (low) constant speed, which is considered to be positive. The string is kept fixed at the first end, while the other end is tied with the ...
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Active vibration control is investigated for axially moving strings with a tersioner. The tensioner is used as an actuator. The active control law is proposed from the view of the traveling wave propagation. Transverse response of both the uncontrolled and the controlled systems is derived in the frequency domain. The designed controller is numerically tested for the string under impulse and ha...
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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 ...
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ژورنال
عنوان ژورنال: Journal of Vibroengineering
سال: 2017
ISSN: 1392-8716
DOI: 10.21595/jve.2017.18651