Wave transmission approach based on modal analysis for embedded mechanical systems

Nicolae Cretu, Gelu Nita, Mihail Ioan Pop

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

An experimental method for determining the phase velocity in small solid samples is proposed. The method is based on measuring the resonant frequencies of a binary or ternary solid elastic system comprising the small sample of interest and a gauge material of manageable size. The wave transmission matrix of the combined system is derived and the theoretical values of its eigenvalues are used to determine the expected eigenfrequencies that, equated with the measured values, allow for the numerical estimation of the phase velocities in both materials. The known phase velocity of the gauge material is then used to asses the accuracy of the method. Using computer simulation and the experimental values for phase velocities, the theoretical values for the eigenfrequencies of the eigenmodes of the embedded elastic system are obtained, to validate the method. We conclude that the proposed experimental method may be reliably used to determine the elastic properties of small solid samples whose geometries do not allow a direct measurement of their resonant frequencies.

Original languageEnglish (US)
Pages (from-to)4940-4947
Number of pages8
JournalJournal of Sound and Vibration
Volume332
Issue number20
DOIs
StatePublished - Sep 30 2013

All Science Journal Classification (ASJC) codes

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

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