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Vibration control of ultrasonic cutting via dynamic absorber
Faculty
Science
Year:
2007
Type of Publication:
Article
Pages:
1703-1710
Authors:
Amer, Y. A
DOI:
10.1016/j.chaos.2006.03.038
Journal:
CHAOS SOLITONS \& FRACTALS PERGAMON-ELSEVIER SCIENCE LTD
Volume:
33
Research Area:
Mathematics; Physics
ISSN
ISI:000246546500030
Keywords :
Vibration control , ultrasonic cutting , dynamic absorber
Abstract:
Ultrasonic machining (USM) is one of the most effective non-conventional techniques. Its application especially to hard-to-machine material (HTM) is growing rapidly. The main operation condition of USM is at resonance where an exciter derives a tuned blade or a tool. In this paper, the coupling of two non-linear oscillators of the main system and absorber representing ultrasonic cutting process are investigated. This leads to a two-degree-of-freedom Duffing's oscillator in which such non-linear effects can be neutralized under certain dynamic conditions. The aim of this work is the control of the system behavior at principal parametric resonance condition where the system damage is probable. An approximate solution is derived up to the second order for the coupled system. A threshold value of linear damping has been obtained, where the system vibration can be reduced dramatically. The stability of the system is investigated applying both phase-plane and frequency response techniques. The effects of the different parameters of the absorber on system behavior are studied numerically. Comparison with the available published work is reported. (C) 2006 Elsevier Ltd. All rights reserved.
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