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
Standing and propagating waves in cubically nonlinear media
Responsible organisation
2006 (English)In: Proceedings of the International Conference Mathematical Modelling / [ed] Nilsson, Börje, American Institute of Physics , 2006, 187-195 p.Chapter in book (Other academic)Alternative title
Stående och fortplantande vågor i ett kubiskt olinjärt medium (Swedish)
Abstract [en]

The paper has three parts. In the first part a cubically nonlinear equation is derived for a transverse finite-amplitude wave in an isotropic solid. The cubic nonlinearity is expressed in terms of elastic constants. In the second part a simplified approach for a resonator filled by a cubically nonlinear medium results in functional equations. The frequency response shows the dependence of the amplitude of the resonance on the difference between one of the resonator's eigenfrequencies and the driving frequency. The frequency response curves are plotted for different values of the dissipation and differ very much for quadratic and cubic nonlinearities. In the third part a propagating N-wave is studied, which fulfils a modified Burgers' equation with a cubic nonlinearity. Approximate solutions to this equation are found for new parts of the wave profile.

Place, publisher, year, edition, pages
American Institute of Physics , 2006. 187-195 p.
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:bth-9285Local ID: oai:bth.se:forskinfo1A64513BC479B615C1257292003FBC68OAI: oai:DiVA.org:bth-9285DiVA: diva2:837079
Available from: 2012-09-18 Created: 2007-03-02 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

fulltext(700 kB)118 downloads
File information
File name FULLTEXT01.pdfFile size 700 kBChecksum SHA-512
05201b11375030e1e75d7d1630d548933f4dc3750d97e99c1f91bd8e0108f4edc607817448cb480d67e8d2a2008c9929b568593e56eaf125669618fc52f6b466
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Hedberg, ClaesRudenko, Oleg
Applied Mechanics

Search outside of DiVA

GoogleGoogle Scholar
Total: 118 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: 88 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