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TECHNICAL PAPERS

Dynamic Analysis and Parameter Identification of a Single Mass Elastomeric Isolation System Using a Maxwell-Voigt Model

[+] Author and Article Information
Jie Zhang, Christopher M. Richards

Department of Mechanical Engineering, The University of Louisville, Louisville, KY 40292

J. Vib. Acoust 128(6), 713-721 (Apr 28, 2006) (9 pages) doi:10.1115/1.2345676 History: Received May 05, 2005; Revised April 28, 2006

Dynamic analysis and parameter identification of a single mass elastomeric isolation system represented by a Maxwell-Voigt model is examined. Influences that the stiffness and damping values of the Maxwell element have on natural frequency, damping ratio, and frequency response are uncovered and three unique categories of Maxwell-type elements are defined. It is also shown that Voigt and Maxwell-Voigt models with equivalent natural frequencies and damping ratios can have considerably different frequency response spectra. Lastly, a parameter identification method is developed for identifying Maxwell-Voigt models from frequency response spectra. The method is based on constant natural frequency and damping ratio curves generated from modal analysis of potential Maxwell-Voigt models.

Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Single mass isolation system with different isolation models. (a) Voigt model, (b) Maxwell-Voigt Model, (c) frequency response spectra

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Figure 2

Definition of Maxwell element type

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Figure 3

Influence of k1 and τ1 on ωmv

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Figure 4

Influence of k1 and τ1 on ωmv for a model with k=200kN∕m and c=300N-s∕m

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Figure 5

Influence of c1 and τ1 on ωmv

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Figure 6

Curves of constant ωmv

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Figure 7

Influence of k1 and τ1 on ζmv

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Figure 8

Influence of c1 and τ1 on ζmv

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Figure 9

Curves of constant ζmv

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Figure 10

Frequency response spectra of three Voigt models

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Figure 11

The influence of τ1 (c1 is constant) on MV frequency response model

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Figure 12

The influence of τ1 (k1 is constant) on MV frequency response model

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Figure 13

Frequency response spectra of Voigt Models M and K and “experimental” MV systems with equivalent natural frequencies and damping ratios. Dashed curves are the frequency response spectra of the “experimental” MV systems and solid curves are the frequency response spectra of the identified Voigt models. (a)MVSystem A; (b)MVSystem B; (c)MVSystem C.

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Figure 14

Identifying k1 and c1 from constant ωmv and ζmv curves

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Figure 15

Frequency response spectra of MV Model A

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Figure 16

Frequency response functions of MV Model B

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Figure 17

Frequency response functions of MV Model C

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