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

1. Front Matter

   Pages i-xxvi

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2. Bifurcation, Chaos and Control

   1. Front Matter

      Pages 1-2

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   2. Chaotic Clocks: A Paradigm for the Evolution of Noise in Machines

      • Francis C. Moon

      Pages 3-16

   3. Explorations into the Nonlinear Dynamics of a Single DOF System Coupled to a Wideband Auto-Parametric Vibration Absorber

      • Anil K. Bajaj, Ashwin Vyas, Arvind Raman

      Pages 17-26

   4. Adaptive Partial Observers with Application to Time-Varying Chaotic Systems

      • D. V. Efimov, A. L. Fradkov

      Pages 27-35

   5. Nonlinear Dynamics of a Heavy Material Particle along a Circle Which Rotates and Optimal Control

      • Katica Stevanovic Hedrih

      Pages 37-45

   6. Bifurcation and Chaos in Mechanical Applications: A Dynamical Systems Approach to Their Control

      • Stefano Lenci, Giuseppe Rega

      Pages 47-57

   7. Nonlinear Normal Modes and Chaotic Motions in Oscillatory Chains

      • Leonid I. Manevitch, Oleg V. Gendelman, Alexander V. Savin

      Pages 59-68

   8. Patterns of Bifurcation Suppressing Escape at Internal Resonance

      • G.H.M. van der Heijden, J.M.T. Thompson

      Pages 69-78

3. Mechanical Systems

   1. Front Matter

      Pages 79-80

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   2. Spatial Motion of CVT-Chains

      • Friedrich Pfeiffer

      Pages 81-95

   3. Nonlinear Phenomena in Microelectromechanical Resonators

      • B. Balachandran, H. Li

      Pages 97-106

   4. Dynamics and Parametric Identification of Geared Rotordynamic Systems

      • D. Giagopulos, C. Salpistis, S. Natsiavas

      Pages 107-116

   5. Global Bifurcations of Nonlinear Thermoelastic Microbeams Subject to Electrodynamic Actuation

      • O. Gottlieb, A.R. Champneys

      Pages 117-126

   6. Nonlinear Interaction in MHD Bearings under Oscillating Electric Fields

      • Bernhard Schweizer, Jörg Wauer

      Pages 127-136

   7. Parametrically Excited MEMS-Based Filters

      • Steven W. Shaw, Kimberly L. Turner, Jeffrey F. Rhoads, Rajashree Baskaran

      Pages 137-146

   8. The Chaotic Oscillations of High-Speed Milling

      • G. Stépán, R. Szalai, S. J. Hogan

      Pages 147-158

   9. On the Dynamics of a Railway Freight Wagon Wheelset with Dry Friction Damping

      • Hans True, Lars Trzepacz

      Pages 159-168

4. Structural Systems

   1. Front Matter

      Pages 169-170

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   2. Post-Critical Finite, Planar Dynamics of a Circular Arch: Experimental and Theoretical Characterization of Transitions to Nonregular Motions

      • F. Benedettini, R. Alaggio

      Pages 171-181

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).

• Rotor
• applied mechanics
• chaos
• design
• friction
• mechanics
• microelectromechanical system (MEMS)
• multibody systems
• nonlinear dynamics
• resonance
• vibration

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)

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

  G. Rega, F. Vestroni

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