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Title: H-infinity optimization of a variant design of the dynamic vibration absorber : revisited and new results
Authors: Cheung, YL
Wong, WO 
Keywords: H-infinity
Dynamic vibration absorber
Issue Date: 1-Aug-2011
Publisher: Elsevier B.V.
Source: Journal of sound and vibration, Aug 2011, v. 330, no.16, p. 3901-3912 How to cite?
Journal: Journal of sound and vibration 
Abstract: The H∞ optimum parameters of a dynamic vibration absorber (DVA) with ground-support are derived to minimize the resonant vibration amplitude of a single degree-of-freedom (sdof) system under harmonic force excitation. The optimum parameters which are derived based on the classical fixed-points theory and reported in literature for this non-traditional DVA are shown to be not leading to the minimum resonant vibration amplitude of the controlled mass. A new procedure is proposed for the H∞ optimization of such a dynamic vibration absorber. A new set of optimum tuning frequency and damping of the absorber is derived, thereby resulting in lower maximum amplitude responses than those reported in the literature. The proposed optimized variant DVA is also compared to a ground-hooked damper of the same damping capacity of the damper in the DVA. It is proved that the proposed optimized DVA has better suppression of the resonant vibration amplitude of the controlled system than both the traditional DVA and also the ground-hooked damper if the proposed design procedure of the variant DVA is followed.
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2011.03.027
Rights: Journal of sound and vibration © 2011 Elsevier B.V. All rights reserved. The journal web site is located at
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Sound and Vibration. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of sound and vibration, vol. 330, no. 16 (Aug 2011), DOI: 10.1016/j.jsv.2011.03.027
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