Nonlinear Dynamics of Grains in a Liquid-Saturated Soil
|Document type:||Journal Articles|
|Article type:||Original article|
|Author(s):||Oleg Rudenko, Claes Hedberg|
|Title:||Nonlinear Dynamics of Grains in a Liquid-Saturated Soil|
|Translated title:||Korndynamik i en vätskemättad jord.|
|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
|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
|Keywords:||vibration, wave, acoustics, nonlinear interaction, mathematical model|