Nonlinear Dynamics of Grains in a Liquid-Saturated Soil

Document type: Journal Articles
Article type: Original article
Peer reviewed: Yes
Full text:
Author(s): Oleg Rudenko, Claes Hedberg
Title: Nonlinear Dynamics of Grains in a Liquid-Saturated Soil
Translated title: Korndynamik i en vätskemättad jord.
Journal: Nonlinear Dynamics
Year: 2003
Volume: 35
Issue: 2
Pagination: 187-200
ISSN: 0924-090X
Publisher: Kluwer
City: Dordrecht
ISI number: 000220400400006
Organization: Blekinge Institute of Technology
Department: Dept. of Mechanical Engineering (Institutionen för maskinteknik)
Dept. of Mechanical Engineering S-371 79 Karlskrona
+46 455 38 50 00
http://www.ima.bth.se/
Authors e-mail: claes.hedberg@bth.se
Language: English
Abstract: 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.
Subject: Mechanical Engineering\Structural Dynamics
Mechanical Engineering\Structural Mechanics
Mathematics\Analysis
Keywords: vibration, wave, acoustics, nonlinear interaction, mathematical model
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