Event maps in a stick-slip system
type: Item
instance of: scholarly article
title: Event maps in a stick-slip system
zbMATH Open document ID: 0898.70014
DOI: 10.1023/A:1008228120608
author: U. Galvanetto
author: Carsten Knudsen
published in: Nonlinear Dynamics
publication date: 1998-11-01T00:00:00Z
review text: The authors study a one-dimensional event map generated by a two degree-of-freedom mechanical system that undergoes self-exciting oscillations due to dry friction. Model of such a stick-slip system consists of two blocks supported by a moving belt. Each block is connected with a fixed support by a linear spring, and both blocks are connected together by a linear spring. The contact surfaces between the blocks and the belt are supposed to be rough with different friction coefficients. The iterated map allows a simpler representation and better understanding of the dynamical behavior of this system related to repeated events in which the two blocks after slipping move again and after some time of accelerated motion return to another stick phase. By using cubic splines, the authors show how to reconstruct event maps from experimental data. The computation of one-parameter bifurcation diagrams for varying driving velocities concludes the paper.
Mathematics Subject Classification ID: 70K40
zbMATH DE Number: 1043738
zbMATH Keywords: two degree-of-freedom system
zbMATH Keywords: self-exciting oscillations
zbMATH Keywords: dry friction
zbMATH Keywords: blocks
zbMATH Keywords: moving belt
zbMATH Keywords: linear spring
zbMATH Keywords: iterated map
zbMATH Keywords: one-parameter bifurcation diagrams
reviewed by: Yuri N. Sankin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1043738