Abstract
A mathematical model of vibro-impact system accounting for oscillatory and progressive motion, and capable of transferring a high-frequency low-amplitude excitation into low-frequency high-amplitude response is developed. A special beat frequency kinematic excitation was used, which has two distinctive features:
(i) the low-frequency modulated excitation is tuned to the natural frequency of the oscillating system, and (ii) the excitation is asymmetric. The model considers also visco-elastic properties of the media.
It is demonstrated that this mechanism allows to overcome the resistance force of the media and to move forward. Several different ways to achieve a steady progression without supplying additional energy are explored, however, in all these cases progression rates are relatively low. A significant increase of progression rates is only possible by controlling the motion of the system. A simple control strategy enhancing progression rates substantially is proposed and implemented. (C) 2003 Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 623-641 |
| Number of pages | 18 |
| Journal | International Journal of Mechanical Sciences |
| Volume | 45 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2003 |
Bibliographical note
The authors would like to acknowledge the financial support from EPSRC under the grant GR/N16341.Keywords
- vibro-impact system
- beat frequency excitation
- drift
- dry friction
- control
- nonlinear oscillator
- dry friction model
- rate prediction
- oscillator
- dynamics