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Numerical study and computer simulations of the spring-block model

Author(s): M. R. Sarkardei

Journal: Iranian Journal of Physics Research
ISSN 1682-6957

Volume: 2;
Issue: 5;
Start page: 267;
Date: 2001;
Original page

Keywords: non-linear dynamical systems | stick-slip dynamics | Fourier analysis | power spectrum | earth-quake | non-linear friction

  We present numerical solutions of the equations of motion of the driven spring-block model with stick-slip dynamics. The system consists of an array of N masses which describes the statistical and dynamic properties of dissipative systems. In this study, we are interested in very low and very high velocity regimes. We show that there is a clear shift in the distribution of slip-force when we move from a low velocity regime to an intermediate one and then to high velocity regime. The observed transitional behaviour corresponds to the Gaussian distribution in low velocity, to -shape behaviour in the intermediate velocity and to an inverse-Gaussian distribution for the high values of velocity.
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