Estimation of complex Young's modulus of non-stiff materials using a modified Oberst beam technique

Yabin Liao, Valana Wells

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

The paper presents a modified Oberst beam technique to evaluate the complex Young's modulus of non-stiff materials. Unconstrained layer theories and non-parametric complex modulus identification methods used for stiff materials form the basis for the method. The proposed approach has several advantages over the standard Oberst beam technique. In particular, the layer properties can be evaluated at any frequency, and the base beam need not be completely covered with the layer material. In addition, the proposed method does not require that the complex modulus vs. frequency curve for the base beam should have a flat area near analyzed resonance frequencies in order to yield accurate results. The experiments conducted on a styrene-butadiene rubber (SBR) sample using a polymethyl methacrylate (PMMA) base beam produced good results. Uncertainty analysis shows that the measurement accuracy can be improved by increasing the modulus magnitude ratio between the layer material and the base beam material, or the thickness ratio between the layer and base beam.

Original languageEnglish (US)
Pages (from-to)87-100
Number of pages14
JournalJournal of Sound and Vibration
Volume316
Issue number1-5
DOIs
StatePublished - Sep 23 2008

Fingerprint

modulus of elasticity
Elastic moduli
Uncertainty analysis
Butadiene
Polymethyl methacrylates
Styrene
thickness ratio
Rubber
butadiene
rubber
polymethyl methacrylate
styrenes
curves
Experiments

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

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abstract = "The paper presents a modified Oberst beam technique to evaluate the complex Young's modulus of non-stiff materials. Unconstrained layer theories and non-parametric complex modulus identification methods used for stiff materials form the basis for the method. The proposed approach has several advantages over the standard Oberst beam technique. In particular, the layer properties can be evaluated at any frequency, and the base beam need not be completely covered with the layer material. In addition, the proposed method does not require that the complex modulus vs. frequency curve for the base beam should have a flat area near analyzed resonance frequencies in order to yield accurate results. The experiments conducted on a styrene-butadiene rubber (SBR) sample using a polymethyl methacrylate (PMMA) base beam produced good results. Uncertainty analysis shows that the measurement accuracy can be improved by increasing the modulus magnitude ratio between the layer material and the base beam material, or the thickness ratio between the layer and base beam.",
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Estimation of complex Young's modulus of non-stiff materials using a modified Oberst beam technique. / Liao, Yabin; Wells, Valana.

In: Journal of Sound and Vibration, Vol. 316, No. 1-5, 23.09.2008, p. 87-100.

Research output: Contribution to journalArticle

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AU - Wells, Valana

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