A preliminary investigation into optimising the response of vibrating systems used for ultrasonic cutting

Lim, F.N. , Cartmell, M.P., Cardoni, A. and Lucas, M. (2004) A preliminary investigation into optimising the response of vibrating systems used for ultrasonic cutting. Journal of Sound and Vibration, 272(3-5), pp. 1047-1069. (doi:10.1016/j.jsv.2003.03.011)

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Abstract

The coupling of two non-linear oscillators is investigated, each with opposing non-linear overhang characteristics in the frequency domain as a result of positive and negative cubic stiffness. This leads to the definition of a two-degree-of-freedom Duffing oscillator in which such non-linear effects can be neutralised under certain dynamic conditions. The physical motivation for this system stems from applications in ultrasonic cutting in which an exciter drives a tuned blade. The exciter and the blade are both strongly non-linear, with features strongly reminiscent of positive and negative cubic effects. It is shown by means of approximate analysis that in the case of simple idealised coupled oscillator models a practically useful mitigating effect on the overall non-linear response of the system is observed when one of the cubic stiffnesses is varied. Experimentally, it has also been demonstrated that coupling of ultrasonic components with different non-linear characteristics can strongly influence the performance of the system and that the general behaviour of the hypothetical theoretical model is indeed borne out in practice.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Cartmell, Prof Matthew and Cardoni, Dr Andrea and Lucas, Professor Margaret and Lim, Dr Fannon
Authors: Lim, F.N., Cartmell, M.P., Cardoni, A., and Lucas, M.
College/School:College of Science and Engineering > School of Engineering
College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Journal of Sound and Vibration
Journal Abbr.:J. Sound Vib
ISSN:0022-460X
ISSN (Online):1095-8568
Published Online:24 October 2003

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