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IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics

Proceedings of the IUTAM Symposium held in Rome, Italy, 8-13 June 2003

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. G. Rega

    1. Università di Roma ‘La Sapienza’, Rome, Italy

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  2. F. Vestroni

    1. Università di Roma ‘La Sapienza’, Rome, Italy

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  • A coherent compendium of the current state of theory and applications of nonlinear and chaotic dynamics in mechanics, along with their control

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 122)

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Table of contents (46 papers)

  1. Structural Systems

    1. Phase Space Warping

      • J. P. Cusumano, D. Chelidze
      Pages 183-192

    2. Time Integration Techniques to Investigate the Long-Term Behaviour of Dissipative Structural Systems

      • Ugo Galvanetto, P. Burkhard Bomemann
      Pages 193-201

    3. Identification and Construction of Reduced Order Models for Infinite-Dimensional Systems in Nonlinear Elastodynamics

      • loannis T. Georgiou
      Pages 203-212

    4. The Non-Linear Dynamics of Thin Walled Shell Structures

      • Paulo B. Gonçalves, Zenón J. G. N. del Prado
      Pages 213-222

    5. Influence of Boundary Conditions Relaxation on Panel Flutter

      • R. A. Ibrahim, D. M. Beloiu, C. L. Pettit
      Pages 223-232

    6. Solutions of a Shallow Arch under Fast and Slow Excitations

      • Faouzi Lakrad, Mohamed Belhaq
      Pages 233-240

    7. Nonlinear Oscillations of a Buckled Mechanism used as a Vibration Isolator

      • Raymond H. Plaut, Laurie A. Alloway, Lawrence N. Virgin
      Pages 241-250

  2. Nonsmooth Dynamics

    1. Front Matter

      Pages 251-252
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    2. Nonsmooth Dynamics of a Double-Belt Friction Oscillator

      • P. Casini, F. Vestroni
      Pages 253-262

    3. Corner-Collision and Grazing-Sliding

      • M di Bernardo, A.R. Champneys, P. Kowalczyk
      Pages 263-273

    4. Dynamics of Discontinuous Systems with Imperfections and Noise

      • Tom Griffin, S. John Hogan
      Pages 275-285

    5. Stick-Slip Whirl Interaction in Drillstring Dynamics

      • R. I. Leine, D. H. van Campen
      Pages 287-296

    6. The Mapping Dynamics of a Three-Piecewise Linear System under a Periodic Excitation

      • Albert C.J. Luo
      Pages 297-304

    7. Two Dimensional Map for Impact Oscillator with Drift

      • Ekaterina E. Pavlovskaia, Marian Wiercigroch
      Pages 305-312

    8. Dynamics of Mechanical Systems with Soft Impacts

      • František Peterkat
      Pages 313-322

    9. Nonlinear Dynamics of Non-Smooth Mechanical Systems: Theoretical and Experimental Studies

      • Marian Wiercigroch, Ekaterina E. Pavlovskaia, Evgueni V. Karpenko
      Pages 323-332

  3. Delay and Random Systems

    1. Front Matter

      Pages 333-334
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    2. Global Dynamics of a Duffing System with Delayed Velocity Feedback

      • Haiyan Hu
      Pages 335-344

    3. Noise-Induced Synchronization and Stochastic Resonance in a Bistable System

      • Agnessa Kovaleva
      Pages 345-353

    4. Delay Equations with Fluctuating Delay: Application to Variable Speed Machining

      • N. Sri Namachchivaya, R. Beddini, H. J. Van Roessel, Sarah Wustrack
      Pages 355-369
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Keywords

About this book

The interest of the applied mechanics community in chaotic dynamics of engineering systems has exploded in the last fifteen years, although research activity on nonlinear dynamical problems in mechanics started well before the end of the Eighties. It developed first within the general context of the classical theory of nonlinear oscillations, or nonlinear vibrations, and of the relevant engineering applications. This was an extremely fertile field in terms of formulation of mechanical and mathematical models, of development of powerful analytical techniques, and of understanding of a number of basic nonlinear phenomena. At about the same time, meaningful theoretical results highlighting new solution methods and new or complex phenomena in the dynamics of deterministic systems were obtained within dynamical systems theory by means of sophisticated geometrical and computational techniques. In recent years, careful experimental studies have been made to establish the actual occurrence and observability of the predicted dynamic phenomena, as it is vitally needed in all engineering fields. Complex dynamics have been shown to characterize the behaviour of a great number of nonlinear mechanical systems, ranging from aerospace engineering applications to naval applications, mechanical engineering, structural engineering, robotics and biomechanics, and other areas. The International Union of Theoretical and Applied Mechanics grasped the importance of such complex phenomena in the Eighties, when the first IUTAM Symposium devoted to the general topic of nonlinear and chaotic dynamics in applied mechanics and engineering was held in Stuttgart (1989).

Reviews

From the reviews:

"The volume under review … shows which subjects in the field of nonlinear dynamics and control are currently hot research topics in the applied mechanics community. … There is no doubt that this volume will be great help for everybody, but especially for young scientists wishing to enter this field because it gives a nice state-of-the-art collection of papers on the subject from the engineering point of view." (Hans Troger, Zentralblatt MATH, Vol. 1106 (8), 2007)

Editors and Affiliations

  • Università di Roma ‘La Sapienza’, Rome, Italy

    G. Rega, F. Vestroni

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