Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Nonlinear Standing Waves in a Layer Excited by the Periodic Motion of its Boundary
Responsible organisation
2002 (English)Conference paper, Published paper (Refereed) PublishedAlternative title
Ickelinjära stånde vågor i ett skikt med periodisk rörelse av dess vägg (Swedish)
Abstract [en]

Simplified nonlinear evolution equations describing nonsteady-state forced vibrations in an acoustic resonator having one closed end and the other end periodically oscillating are derived. An approach is used based on a nonlinear functional equation. This approach is shown to be equivalent to the version of the successive approximation method developed in 1964 by Chester. It is explained how the acoustic field in the cavity is described as a sum of counterpropagating waves with no cross-interaction. The nonlinear Q-factor and the nonlinear frequency response of the resonator are calculated for steady-state oscillations of both inviscid and dissipative media. The general expression for the mean intensity of the acoustic wave in terms of the characteristic value of a Mathieu function is derived. The process of development of a standing wave is described analytically for three different types of periodic motion of the wall: harmonic excitation, sawtooth-shaped motion and "inverse saw motion".

Place, publisher, year, edition, pages
Moscow, Russia, 2002.
Keywords [en]
acoustic resonator, nonlinear standing waves, resonator shock waves, nonlinear Q-factor, acoustic sawtooth waves
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:bth-9854Local ID: oai:bth.se:forskinfo802346F87BFB8E19C1256C2A004CBC0EOAI: oai:DiVA.org:bth-9854DiVA, id: diva2:837820
Conference
Proceedings of 16th International Symposium of Nonlinear Acoustics, August 19-23, 2002, Moscow
Available from: 2012-09-18 Created: 2002-09-04 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

fulltext(31 kB)282 downloads
File information
File name FULLTEXT01.pdfFile size 31 kBChecksum SHA-512
e4309b69c7b840d8cdaee1023601feec72194362eb89c824d0afd410c946086085f14bdc93b593594751a946c1beb87bfd267da2864d883906c2965657df98de
Type fulltextMimetype application/pdf

Authority records

Rudenko, OlegHedberg, Claes

Search in DiVA

By author/editor
Rudenko, OlegHedberg, Claes
Applied Mechanics

Search outside of DiVA

GoogleGoogle Scholar
Total: 283 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 468 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf