Engineering Applications of Dynamics of Chaos

  • W. Szemplinska-Stupnicka
  • H. Troger

Part of the International Centre for Mechanical Sciences book series (CISM, volume 319)

About this book

Introduction

The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given.

Keywords

algorithms chaos dynamical systems dynamics flow oscillation turbulence Vibration

Editors and affiliations

  • W. Szemplinska-Stupnicka
    • 1
  • H. Troger
    • 2
  1. 1.IPPT-PANWarsawPoland
  2. 2.Technical University ViennaAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-2610-3
  • Copyright Information CISM Udine 1991
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-82328-6
  • Online ISBN 978-3-7091-2610-3
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • About this book