Nonlinear Dynamics of Grains in a Liquid-Saturated Soil
Blekinge Institute of Technology, Department of Mechanical Engineering2003 (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 vätskemättad jord. (Swedish)
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.
vibration, wave, acoustics, nonlinear interaction, mathematical model
Mathematical Analysis Applied Mechanics
IdentifiersURN: urn:nbn:se:bth-9864ISI: 000220400400006Local ID: oai:bth.se:forskinfo7D7014B2D20364E4C1256D9500465C04OAI: oai:DiVA.org:bth-9864DiVA: diva2:837834