Axisymmetric elastic waves excited by a point source in a plate

R. L. Weaver, Yih Hsing Pao

Research output: Contribution to journalArticle

Abstract

The response of an infinite elastic plate to dynamic loading is presented by the method of superposition of normal modes, a method particularly appropriate in the intermediate and far field. The method is compared with the method of integral transforms. Explicit expressions are given for the case of loading by a concentrated vertical step force. These expressions are evaluated numerically over a range of distances from 4 to 40 plate thicknesses. The numerical results are compared with qualitative stationary phase analyses and with the exact results of generalized ray theory.

Original languageEnglish (US)
Pages (from-to)821-836
Number of pages16
JournalJournal of Applied Mechanics, Transactions ASME
Volume49
Issue number4
DOIs
StatePublished - Dec 1982

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Elastic waves
elastic waves
point sources
elastic plates
integral transformations
far fields
rays

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Axisymmetric elastic waves excited by a point source in a plate. / Weaver, R. L.; Pao, Yih Hsing.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 49, No. 4, 12.1982, p. 821-836.

Research output: Contribution to journalArticle

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