Change search
ReferencesLink to record
Permanent link

Direct link
Nonlinear Dynamics of Grains in a Liquid-Saturated Soil
Responsible organisation
2003 (English)In: Nonlinear dynamics, ISSN 0924-090X, E-ISSN 1573-269X, Vol. 35, no 2, 187-200 p.Article in journal (Refereed) PublishedAlternative title
Korndynamik i en v├Ątskem├Ąttad jord. (Swedish)
Abstract [en]

A new kind of nonlinearity of inertial type caused by accelerated motion of interacting particles is described. The model deals with an ensemble of grains immersed into a vibrating fluid. First, the nonlinear vibration of two connected grains is studied. The temporal behaviours of displacement and velocity, as well as spectrum of vibration, are analysed. Numerical simulations are performed. Then an infinite chain of grains is considered and the corresponding differential-difference equation is derived. For the continuum limit the inhomogeneous nonlinear wave equation is solved and temporal profiles are calculated. A new resonant phenomenon is described and the resonant curves are constructed.

Place, publisher, year, edition, pages
Dordrecht: Kluwer , 2003. Vol. 35, no 2, 187-200 p.
Keyword [en]
vibration, wave, acoustics, nonlinear interaction, mathematical model
National Category
Mathematical Analysis Applied Mechanics
URN: urn:nbn:se:bth-9864ISI: 000220400400006Local ID: diva2:837834
Available from: 2012-09-18 Created: 2003-09-02 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

fulltext(204 kB)32 downloads
File information
File name FULLTEXT01.pdfFile size 204 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Rudenko, OlegHedberg, Claes
In the same journal
Nonlinear dynamics
Mathematical AnalysisApplied Mechanics

Search outside of DiVA

GoogleGoogle Scholar
Total: 32 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

Total: 94 hits
ReferencesLink to record
Permanent link

Direct link