A modal-based approach for optimal active modifications of resonance modes

Structural resonance can be exploited to obtain a specific motion at low input power. This paper presents an approach to determine the locations, number, and dimensions of local structural changes to temporary obtain different resonance configurations while consuming minimal control power. The start...

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Bibliographic Details
Published in:Journal of sound and vibration 2015-01, Vol.334, p.151-163
Main Authors: Peters, H.J., Tiso, P., Goosen, J.F.L., van Keulen, F.
Format: Article
Language:English
Subjects:
Approximation
Computation
Eigenfrequencies
Optimization
Power consumption
Projection
Sound
Vibration
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Summary:Structural resonance can be exploited to obtain a specific motion at low input power. This paper presents an approach to determine the locations, number, and dimensions of local structural changes to temporary obtain different resonance configurations while consuming minimal control power. The starting point is a non-dissipative resonance mode. Eigensolution sensitivities are used to approximate the effect of the local structural changes on a given resonance mode. In order to increase insight and intuitive understanding, these sensitivities are expressed in terms of the modal basis. A projection is proposed to focus on the modifications at specific regions of interest, thus leaving the remaining portions of the mode unspecified. By expressing this projection in terms of the modal basis, the number of significant modes in the analysis decreases drastically, and the computational effort is largely reduced. Closely spaced eigenfrequencies appear to be attractive for effective resonance mode modifications. A plate example demonstrates the approach.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2014.09.006