Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 1998 / Article

Open Access

Volume 2 |Article ID 594698 | 6 pages | https://doi.org/10.1155/S1026022698000144

Dynamic ensembles with variable structure and friction simulation

Received01 Feb 1998

Abstract

The paper presents an approach to the simulation of friction interaction. The model does not use any physical descriptions of the processes in the system, but it has simple physical interpretation. It is based on one qualitative experimental result – the value of first Lyapunov exponent drops with normal load. It is shown that the logistic map could be considered as the simplest model of continuous contact. The generalization of the model (which takes into account the discreteness of the real contact) gives results very similar to the experimental ones. It is in the form of a dynamic ensemble with variable structure (DEVS), which has some interesting properties – particularly bifurcation diagrams.

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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