Modal vibrations of an infinite cylinder in an acoustic halfspace

Seyyed M. Hasheminejad*, Mahdi Azarpeyvand

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

26 Citations (Scopus)


Acoustic radiation from an infinite cylindrical surface vibrating with an arbitrary, time-harmonic surface velocity distribution while positioned near the rigid/compliant boundary of a semi-infinite ideal compressible fluid medium is determined in an exact fashion using the classical method of separation of variables. The formulation utilizes the appropriate wave-field expansions and the method of images along with the pertinent translational addition theorem to develop a closed-form solution in form of infinite series. The analytical results are illustrated with numerical examples in which the cylindrical source, vibrating in the monopole and dipole-like modes, is positioned near the rigid/compliant boundary of a water-filled acoustic halfspace. Subsequently, the basic acoustic field quantities such as the modal acoustic radiation impedance load, radiated far-field pressure and the radiation intensity distribution are evaluated for representative values of the parameters characterizing the system.

Original languageEnglish
Pages (from-to)2253-2271
Number of pages19
JournalInternational Journal of Engineering Science
Issue number19
Publication statusPublished - 1 Nov 2003


  • Acoustic halfspace
  • Acoustic intensity
  • Cylindrical source
  • Radiation impedance


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