Stick-slip vibrations of a two degree-of-freedom geophysical fault model
type: Item
instance of: scholarly article
title: Stick-slip vibrations of a two degree-of-freedom geophysical fault model
zbMATH Open document ID: 0841.70016
DOI: 10.1016/0020-7403(94)90085-X
author: U. Galvanetto
author: S. R. Bishop
published in: International Journal of Mechanical Sciences
publication date: 1996-07-18T00:00:00Z
review text: The paper considers the complex dynamics of a four-dimensional autonomous stick-slip system which consists of two blocks linked by springs on a moving belt. The friction law is assumed to be a decreasing function of the relative sliding velocity. This system is the simplest model which has been used to simulate the dynamics of seismic faults. The motion of the blocks is composed of a uniform stick motion, during which the divergence of the system is zero, and an accelerated slip motion, during which the divergence is positive. A three-dimensional Poincaré map and a scalar single-variable map are discussed which characterize the dynamics of the system in a simple way. The one-dimensional map can be used to diagnose the chaotic behaviour of the full system. The system dynamics illustrates the idea of studying the earthquake generation mechanism as a chaotic phenomenon.
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 86A15
zbMATH DE Number: 699207
zbMATH Keywords: four-dimensional autonomous stick-slip system
zbMATH Keywords: friction law
zbMATH Keywords: three-dimensional Poincaré map
zbMATH Keywords: scalar single-variable map
zbMATH Keywords: chaotic behaviour
reviewed by: Bozhidar Cheshankov
MaRDI profile type: Publication
full work available at URL: 0020-7403(94)90085-x
OpenAlex ID: W2035991745
description: scientific article; zbMATH DE number 699207