Dynamic strain of a longitudinally vibrating viscoelastic rod with an end mass

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Abstract

The dynamic strain of a viscoelastic rod excited into longitudinal simple harmonic vibration, a constant amplitude displacement being maintained by a shaker at one end and a mass terminating the other end, is theoretically investigated in this paper. The general equation of the strain distribution in the rod is derived by solving the one-dimensional wave equation. It is shown that the strain in the rod is the largest at the excited end, at the antiresonant frequencies. Simplified approximate equations are derived for the low loss case to calculate the largest strain in the rod with knowledge of the loss factor.

Original languageEnglish
Pages (from-to)151-167
Number of pages17
JournalJournal of Sound and Vibration
Volume85
Issue number2
DOIs
Publication statusPublished - Nov 22 1982

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ASJC Scopus subject areas

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

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