A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics

J. T. Chen, K. H. Chen, I. L. Chen, L. W. Liu

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

This paper presents the occurring mechanism why irregular frequencies are imbedded in the exterior acoustics using the dual boundary element method (BEM). The modal participation factor which dominates the numerical instability is derived for continuous and discrete systems. In addition, the irregular (fictitious) frequencies embedded in the singular or hypersingular integral equations are discussed, respectively. It is found that the irregular values depend on the kernels in the integral representation for the solution. A two-dimensional dual BEM program for the exterior acoustics was developed. Numerical experiments are conducted to verify the concept of modal participation factor.

Original languageEnglish
Pages (from-to)161-174
Number of pages14
JournalMechanics Research Communications
Volume30
Issue number2
DOIs
Publication statusPublished - 2003 Mar

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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