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Technical Briefs

The Transmissibility of Vibration Isolators With a Nonlinear Antisymmetric Damping Characteristic

[+] Author and Article Information
Z. K. Peng

Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK; State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, P.R. Chinapengzhike@tsinghua.org.cn

Z. Q. Lang

Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UKz.lang@sheffield.ac.uk

X. J. Jing, S. A. Billings, L. Z. Guo

Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK

G. R. Tomlinson

Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK

J. Vib. Acoust 132(1), 014501 (Jan 13, 2010) (7 pages) doi:10.1115/1.4000476 History: Received October 10, 2008; Revised July 20, 2009; Published January 13, 2010; Online January 13, 2010

In the present study, the concept of the output frequency response function, recently proposed by the authors, is applied to theoretically investigate the force transmissibility of single degree of freedom (SDOF) passive vibration isolators with a nonlinear antisymmetric damping characteristic. The results reveal that a nonlinear antisymmetric damping characteristic has almost no effect on the transmissibility of SDOF vibration isolators over the ranges of frequencies, which are much lower or higher than the isolator’s resonance frequency. On the other hand, the introduction of a nonlinear antisymmetric damping can significantly reduce the transmissibility of the vibration isolator over the resonance frequency region. The results indicate that nonlinear vibration isolators with an antisymmetric damping characteristic have great potential to overcome the dilemma encountered in the design of passive linear vibration isolators, that is, increasing the level of damping to reduce the transmissibility at the resonance could increase the transmissibility over the range of higher frequencies. These important theoretical conclusions are then verified by simulation studies.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

SDOF passive isolator with a nonlinear antisymmetric damping characteristic

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Figure 2

The transmissibility of the nonlinear isolator with different ξ3 and a constant ξ5

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Figure 3

The transmissibility of the nonlinear isolator with different ξ5 and a constant ξ3

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Figure 4

The transmissibility of the nonlinear isolator with a nonantisymmetric damping characteristic

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Figure 5

The transmissibility of the nonlinear isolator with a negative nonlinear damping characteristic parameter

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