Derivation of the fixed-points theory with some numerical simulations for global vibration control of structure with closely spaced natural frequencies

Jedol Dayou, and Wang, S. (2006) Derivation of the fixed-points theory with some numerical simulations for global vibration control of structure with closely spaced natural frequencies. Mechanics Based Design of Structures and Machines, 34 (1). pp. 49-68. ISSN 1539-7734

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Official URL: http://dx.doi.org/10.1080/15367730500497026

Abstract

The fixed-points theory has been used as one of the design laws in fabricating a vibration neutralizer for the control of a relatively simple structure. The underlying principle of the theory is that in the frequency response function (FRF) of the system considered, there exist two fixed points that are common to all FRF curves regardless of the damping value of the neutralizer. It is possible, with the proper selection of the neutralizer's resonance frequency, to determine the optimal damping value of the neutralizer that provides a smooth FRF by following the standard procedure of the theory. Recently, the authors have extended the application of the theory for global vibration control of a continuous structure with well separated natural frequencies. In this paper, the application is further extended to global vibration control of a structure with natural frequencies that are closely spaced. Through some numerical simulations, it is shown that the theory can also be used to remove the effects of the dominant mode within the frequency range where the global response is dominated by that mode. However, there are some limitations in its application especially for the overlapping natural frequencies.

Item Type:Article
Uncontrolled Keywords:Fixed-points theory, Flexible structures, Global vibration control, Passive vibration control, Vibration adsorbers, Vibration neutralizers
Subjects:?? TA630-695 ??
Divisions:SCHOOL > School of Science and Technology
ID Code:1094
Deposited By:IR Admin
Deposited On:06 Oct 2011 12:02
Last Modified:23 Feb 2015 09:56

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