Use of elastodynamic reciprocity to analyze point-load generated axisymmetric waves in a plate

J. D. Achenbach*, Y. Xu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Elastodynamic reciprocity is used to express wave motion in an infinite elastic layer (plate), due to time-harmonic point-load excitation, as a superposition of Lamb-wave modes. An appropriate orthogonality relation is derived from reciprocity considerations. Elastodynamic reciprocity is also used in conjunction with a dummy wave mode to obtain the coefficients in the wave mode expansion. The specific example is concerned with the response of the layer to a point load normal to the faces of the layer, either applied internally or to one of the faces. It is shown that for normal load applied in the mid-plane of the layer, a limit case of the lowest anti-symmetric mode gives the same result as the Bernoulli-Euler plate theory.

Original languageEnglish (US)
Pages (from-to)57-67
Number of pages11
JournalWave Motion
Volume30
Issue number1
DOIs
StatePublished - Jul 1999

ASJC Scopus subject areas

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

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