Abstract
The aim through this work is to suppress the transverse vibrations of an axially moving viscoelastic strip. A controller mechanism (dynamic actuator) is attached at the right boundary to control the undesirable vibrations. The moving strip is modeled as a moving beam pulled at a constant speed through 2 eyelets. The left eyelet is fixed in the sense that there is no transverse displacement (see Figure 1). The mathematical model of this system consists of an integro-partial differential equation describing the dynamic of the strip and an integro-differential equation describing the dynamic of the actuator. The multiplier method is used to design a boundary control law ensuring an exponential stabilization result.
| Original language | English |
|---|---|
| Pages (from-to) | 6239-6253 |
| Number of pages | 15 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 40 |
| Issue number | 18 |
| DOIs | |
| State | Published - Dec 2017 |
Bibliographical note
Publisher Copyright:© 2017 John Wiley & Sons, Ltd.
Keywords
- Axially moving steel strip
- Dynamic actuator
- Exponential stability
- Viscoelasticity
ASJC Scopus subject areas
- General Mathematics
- General Engineering