A study on scattered wave amplitude closed-form solution calculation of torsional wave mode by reciprocity theorem

Jaesun Lee, Younho Cho*, Jan Drewes Achenbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Guided waves can be used for the inspection of long range pipelines. Surface corrosion is often found as a major defect type in pipelines. The reciprocity relation is a well-established theorem by which one can simplify complicated mathematical expressions. The approach has been already applied to plate and half-space structures to obtain the closed-form solutions of scattered amplitude. However, results for the case of cylindrical structures have not been reported yet. In this paper, the scattering of torsional waves, which is widely used in commercial applications, is explored by the reciprocity theorem approach. Obtaining closed-form solutions of the amplitudes of propagating waves is much simplified by using the reciprocal relation. The scattered amplitudes for elliptical and rectangular defect shapes are calculated with respect to defect depth and width, at frequencies between 0 and 500 kHz. The amplitude shows the periodic result as a function of frequency. The derived closed-form solutions can play a significant role in quantitative signal interpretation.

Original languageEnglish (US)
Pages (from-to)647-652
Number of pages6
JournalTransactions of the Korean Society of Mechanical Engineers, A
Volume40
Issue number7
DOIs
StatePublished - Jul 1 2016

Keywords

  • Closed form solution
  • Corrosion
  • Guided wave
  • Reciprocity theorem
  • Scattered wave
  • Torsional wave mode

ASJC Scopus subject areas

  • Mechanical Engineering

Fingerprint Dive into the research topics of 'A study on scattered wave amplitude closed-form solution calculation of torsional wave mode by reciprocity theorem'. Together they form a unique fingerprint.

Cite this