Ebook: 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

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).

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The interest of the applied mechanics community towards chaotic dynamics of engineering systems has exploded in the last fifteen years. Today, it is generally accepted that nonlinear vibration problems of advanced systems should be addressed through the combined use of analytical, computational, geometrical and experimental approaches, by paying also attention to the interaction with control features.

The outstanding points of these proceedings are a coherent compendium of the current state of theory and applications of nonlinear and chaotic dynamics in mechanics, along with their control. Subject areas include: Bifurcation and chaos, mechanical and structural systems, nonsmooth dynamics, delay and random systems, control of systems and processes, synchronization and control of chaos.

Major achievements are highlighted as regards: Complex systems and processes for classical and innovative applications, features of nonlinear interactions, patterns of novel bifurcations of non-smooth systems, dimensionality and reduced-order models of continuous systems, exploitation of dynamical systems properties for applications, implications of chaos for design and operating conditions, control of spatio-temporal dynamics.

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The interest of the applied mechanics community towards chaotic dynamics of engineering systems has exploded in the last fifteen years. Today, it is generally accepted that nonlinear vibration problems of advanced systems should be addressed through the combined use of analytical, computational, geometrical and experimental approaches, by paying also attention to the interaction with control features.

The outstanding points of these proceedings are a coherent compendium of the current state of theory and applications of nonlinear and chaotic dynamics in mechanics, along with their control. Subject areas include: Bifurcation and chaos, mechanical and structural systems, nonsmooth dynamics, delay and random systems, control of systems and processes, synchronization and control of chaos.

Major achievements are highlighted as regards: Complex systems and processes for classical and innovative applications, features of nonlinear interactions, patterns of novel bifurcations of non-smooth systems, dimensionality and reduced-order models of continuous systems, exploitation of dynamical systems properties for applications, implications of chaos for design and operating conditions, control of spatio-temporal dynamics.

Content:
Front Matter....Pages i-xxvi
Front Matter....Pages 1-2
Chaotic Clocks: A Paradigm for the Evolution of Noise in Machines....Pages 3-16
Explorations into the Nonlinear Dynamics of a Single DOF System Coupled to a Wideband Auto-Parametric Vibration Absorber....Pages 17-26
Adaptive Partial Observers with Application to Time-Varying Chaotic Systems....Pages 27-35
Nonlinear Dynamics of a Heavy Material Particle along a Circle Which Rotates and Optimal Control....Pages 37-45
Bifurcation and Chaos in Mechanical Applications: A Dynamical Systems Approach to Their Control....Pages 47-57
Nonlinear Normal Modes and Chaotic Motions in Oscillatory Chains....Pages 59-68
Patterns of Bifurcation Suppressing Escape at Internal Resonance....Pages 69-78
Front Matter....Pages 79-80
Spatial Motion of CVT-Chains....Pages 81-95
Nonlinear Phenomena in Microelectromechanical Resonators....Pages 97-106
Dynamics and Parametric Identification of Geared Rotordynamic Systems....Pages 107-116
Global Bifurcations of Nonlinear Thermoelastic Microbeams Subject to Electrodynamic Actuation....Pages 117-126
Nonlinear Interaction in MHD Bearings under Oscillating Electric Fields....Pages 127-136
Parametrically Excited MEMS-Based Filters....Pages 137-146
The Chaotic Oscillations of High-Speed Milling....Pages 147-158
On the Dynamics of a Railway Freight Wagon Wheelset with Dry Friction Damping....Pages 159-168
Front Matter....Pages 169-170
Post-Critical Finite, Planar Dynamics of a Circular Arch: Experimental and Theoretical Characterization of Transitions to Nonregular Motions....Pages 171-181
Phase Space Warping....Pages 183-192
Time Integration Techniques to Investigate the Long-Term Behaviour of Dissipative Structural Systems....Pages 193-201
Identification and Construction of Reduced Order Models for Infinite-Dimensional Systems in Nonlinear Elastodynamics....Pages 203-212
The Non-Linear Dynamics of Thin Walled Shell Structures....Pages 213-222
Front Matter....Pages 169-170
Influence of Boundary Conditions Relaxation on Panel Flutter....Pages 223-232
Solutions of a Shallow Arch under Fast and Slow Excitations....Pages 233-240
Nonlinear Oscillations of a Buckled Mechanism used as a Vibration Isolator....Pages 241-250
Front Matter....Pages 251-252
Nonsmooth Dynamics of a Double-Belt Friction Oscillator....Pages 253-262
Corner-Collision and Grazing-Sliding....Pages 263-273
Dynamics of Discontinuous Systems with Imperfections and Noise....Pages 275-285
Stick-Slip Whirl Interaction in Drillstring Dynamics....Pages 287-296
The Mapping Dynamics of a Three-Piecewise Linear System under a Periodic Excitation....Pages 297-304
Two Dimensional Map for Impact Oscillator with Drift....Pages 305-312
Dynamics of Mechanical Systems with Soft Impacts....Pages 313-322
Nonlinear Dynamics of Non-Smooth Mechanical Systems: Theoretical and Experimental Studies....Pages 323-332
Front Matter....Pages 333-334
Global Dynamics of a Duffing System with Delayed Velocity Feedback....Pages 335-344
Noise-Induced Synchronization and Stochastic Resonance in a Bistable System....Pages 345-353
Delay Equations with Fluctuating Delay: Application to Variable Speed Machining....Pages 355-369
Vertical Dynamics of Riding Cars under Stochastic and Harmonic Base Excitations....Pages 371-381
Front Matter....Pages 383-384
A Delayed-Position Feedback Controller for Cranes....Pages 385-395
Controlled Motions of Multibody Systems along a Plane....Pages 397-406
Active Damping of Spatio-Temporal Dynamics of Drill-Strings....Pages 407-417
Dynamic Vibration Absorber for Friction Induced Oscillations....Pages 419-427
Control of Limit Cycle Oscillations....Pages 429-439
Front Matter....Pages 383-384
Optimal Control of Retrieval of a Tethered Subsatellite....Pages 441-450
Passive Vibration Control by Nonlinear Energy Pumping....Pages 451-458
Motion Control of an Underactuated Manipulator by Using High-Frequency Excitation....Pages 459-466
Front Matter....Pages 467-468
Control and Synchronization of Homoclinic Chaos....Pages 469-480
Methods and Examples of Controlling Chaos in Mechanical Systems....Pages 481-491
The Largest Lyapunov Exponent of Dynamical Systems with Time Delay....Pages 493-500
Back Matter....Pages 501-510

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The interest of the applied mechanics community towards chaotic dynamics of engineering systems has exploded in the last fifteen years. Today, it is generally accepted that nonlinear vibration problems of advanced systems should be addressed through the combined use of analytical, computational, geometrical and experimental approaches, by paying also attention to the interaction with control features.

The outstanding points of these proceedings are a coherent compendium of the current state of theory and applications of nonlinear and chaotic dynamics in mechanics, along with their control. Subject areas include: Bifurcation and chaos, mechanical and structural systems, nonsmooth dynamics, delay and random systems, control of systems and processes, synchronization and control of chaos.

Major achievements are highlighted as regards: Complex systems and processes for classical and innovative applications, features of nonlinear interactions, patterns of novel bifurcations of non-smooth systems, dimensionality and reduced-order models of continuous systems, exploitation of dynamical systems properties for applications, implications of chaos for design and operating conditions, control of spatio-temporal dynamics.

Content:
Front Matter....Pages i-xxvi
Front Matter....Pages 1-2
Chaotic Clocks: A Paradigm for the Evolution of Noise in Machines....Pages 3-16
Explorations into the Nonlinear Dynamics of a Single DOF System Coupled to a Wideband Auto-Parametric Vibration Absorber....Pages 17-26
Adaptive Partial Observers with Application to Time-Varying Chaotic Systems....Pages 27-35
Nonlinear Dynamics of a Heavy Material Particle along a Circle Which Rotates and Optimal Control....Pages 37-45
Bifurcation and Chaos in Mechanical Applications: A Dynamical Systems Approach to Their Control....Pages 47-57
Nonlinear Normal Modes and Chaotic Motions in Oscillatory Chains....Pages 59-68
Patterns of Bifurcation Suppressing Escape at Internal Resonance....Pages 69-78
Front Matter....Pages 79-80
Spatial Motion of CVT-Chains....Pages 81-95
Nonlinear Phenomena in Microelectromechanical Resonators....Pages 97-106
Dynamics and Parametric Identification of Geared Rotordynamic Systems....Pages 107-116
Global Bifurcations of Nonlinear Thermoelastic Microbeams Subject to Electrodynamic Actuation....Pages 117-126
Nonlinear Interaction in MHD Bearings under Oscillating Electric Fields....Pages 127-136
Parametrically Excited MEMS-Based Filters....Pages 137-146
The Chaotic Oscillations of High-Speed Milling....Pages 147-158
On the Dynamics of a Railway Freight Wagon Wheelset with Dry Friction Damping....Pages 159-168
Front Matter....Pages 169-170
Post-Critical Finite, Planar Dynamics of a Circular Arch: Experimental and Theoretical Characterization of Transitions to Nonregular Motions....Pages 171-181
Phase Space Warping....Pages 183-192
Time Integration Techniques to Investigate the Long-Term Behaviour of Dissipative Structural Systems....Pages 193-201
Identification and Construction of Reduced Order Models for Infinite-Dimensional Systems in Nonlinear Elastodynamics....Pages 203-212
The Non-Linear Dynamics of Thin Walled Shell Structures....Pages 213-222
Front Matter....Pages 169-170
Influence of Boundary Conditions Relaxation on Panel Flutter....Pages 223-232
Solutions of a Shallow Arch under Fast and Slow Excitations....Pages 233-240
Nonlinear Oscillations of a Buckled Mechanism used as a Vibration Isolator....Pages 241-250
Front Matter....Pages 251-252
Nonsmooth Dynamics of a Double-Belt Friction Oscillator....Pages 253-262
Corner-Collision and Grazing-Sliding....Pages 263-273
Dynamics of Discontinuous Systems with Imperfections and Noise....Pages 275-285
Stick-Slip Whirl Interaction in Drillstring Dynamics....Pages 287-296
The Mapping Dynamics of a Three-Piecewise Linear System under a Periodic Excitation....Pages 297-304
Two Dimensional Map for Impact Oscillator with Drift....Pages 305-312
Dynamics of Mechanical Systems with Soft Impacts....Pages 313-322
Nonlinear Dynamics of Non-Smooth Mechanical Systems: Theoretical and Experimental Studies....Pages 323-332
Front Matter....Pages 333-334
Global Dynamics of a Duffing System with Delayed Velocity Feedback....Pages 335-344
Noise-Induced Synchronization and Stochastic Resonance in a Bistable System....Pages 345-353
Delay Equations with Fluctuating Delay: Application to Variable Speed Machining....Pages 355-369
Vertical Dynamics of Riding Cars under Stochastic and Harmonic Base Excitations....Pages 371-381
Front Matter....Pages 383-384
A Delayed-Position Feedback Controller for Cranes....Pages 385-395
Controlled Motions of Multibody Systems along a Plane....Pages 397-406
Active Damping of Spatio-Temporal Dynamics of Drill-Strings....Pages 407-417
Dynamic Vibration Absorber for Friction Induced Oscillations....Pages 419-427
Control of Limit Cycle Oscillations....Pages 429-439
Front Matter....Pages 383-384
Optimal Control of Retrieval of a Tethered Subsatellite....Pages 441-450
Passive Vibration Control by Nonlinear Energy Pumping....Pages 451-458
Motion Control of an Underactuated Manipulator by Using High-Frequency Excitation....Pages 459-466
Front Matter....Pages 467-468
Control and Synchronization of Homoclinic Chaos....Pages 469-480
Methods and Examples of Controlling Chaos in Mechanical Systems....Pages 481-491
The Largest Lyapunov Exponent of Dynamical Systems with Time Delay....Pages 493-500
Back Matter....Pages 501-510
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