Abstract
In this paper, we study a cantilevered Euler–Bernoulli beam fixed to a base in a translational motion at one end and to a tip mass at its free end. The beam is subject to undesirable vibrations, and it is made of a viscoelastic material that permits a certain weak damping. By applying a control force at the base, we shall attenuate these vibrations in a fast manner. In fact, we establish the exponential stability of the system. Our method is based on the multiplier technique.
| Original language | English |
|---|---|
| Pages (from-to) | 237-254 |
| Number of pages | 18 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| State | Published - 15 Jan 2017 |
Bibliographical note
Publisher Copyright:Copyright © 2016 John Wiley & Sons, Ltd.
Keywords
- exponential decay
- memory term
- relaxation function
- translational Euler–Bernoulli beam
- vibration control
- viscoelasticity
ASJC Scopus subject areas
- General Mathematics
- General Engineering