Stability of a Nonlinear Axially Moving String With the Kelvin–Voigt Damping
نویسندگان
چکیده
منابع مشابه
Stability of a Nonlinear Axially Moving String with the Kelvin-Voigt Damping
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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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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ژورنال
عنوان ژورنال: Journal of Vibration and Acoustics
سال: 2009
ISSN: 1048-9002,1528-8927
DOI: 10.1115/1.3025835