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.
- vibro-impact system
- beat frequency excitation
- dry friction
- nonlinear oscillator
- dry friction model
- rate prediction