Ebook: Iutam Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty: Proceedings of the IUTAM Symposium held in Nanjing, China, September 18-22, 2006

The last decade has witnessed an increasing interest towards the dynamics and control of nonlinear engineering systems from the scientists engaged in nonlinear dynamics and the control engineers. Both groups of people have recognized the importance of interaction between nonlinear dynamics and robust control during their efforts to improve the dynamic performance of engineering systems with uncertainty, which comes from either the random excitations, such as wind and earthquake, or the modelling errors of real systems including their sensors, controllers and actuators. The dynamics and control of nonlinear systems with uncertainty, therefore, is a vital interdisciplinary topic related to both stochastic systems and deterministic systems. This volume contains the papers presented at the IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty, which was sponsored by the International Union of Theoretical and Applied Mechanics (IUTAM) and held at Nanjing University of Aeronautics and Astronautics, China, 18-22 September, 2006. The aim of the symposium was to bringing together the scientists to discuss the advances in dynamics and control of nonlinear systems, especially those with uncertainties in either system modeling or excitation. The scientific committee, appointed by the Bureau of IUTAM, includes the following members: F. L. Chernousko, Moscow, Russia E. Kreuzer, Hamburg, Germany (Co-Chairman) H. Y. Hu, Nanjing, China (Chairman) A. H. Nayfeh, Blacksburg, USA G. Rega, Rome, Italy W. Schiehlen, Stuttgart, Germany (IUTAM representative) K. Sobczyk, Warsaw, Poland G. Stepan, Budapest, Hungary H. Troger, Wien, Austria ix x Preface

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This is a state-of-the-art treatise on the problems of both nonlinearity and uncertainty in the dynamics and control of engineering systems.

The concept of dynamics and control implies the combination of dynamic analysis and control synthesis.

It is essential to gain insight into the dynamics of a nonlinear system with uncertainty if any new control strategy is designed to utilize nonlinearity.

However, the new control strategy to be proposed must be robust enough so that any unexpected small disturbances will not alter the desired target of control.

Such a concept is calling more attention to the modeling and simplification of dynamic systems subject to uncertain environment.

It also impacts on the fine analysis and robust design of controlled dynamic systems resulting in new control strategies due to understanding of nonlinear phenomena and artificial intelligence.

Those control strategies can also help the combination of passive control, active control and semi-active control, as well as the interaction among sensors, controllers and actuators.

---

This is a state-of-the-art treatise on the problems of both nonlinearity and uncertainty in the dynamics and control of engineering systems.

The concept of dynamics and control implies the combination of dynamic analysis and control synthesis.

It is essential to gain insight into the dynamics of a nonlinear system with uncertainty if any new control strategy is designed to utilize nonlinearity.

However, the new control strategy to be proposed must be robust enough so that any unexpected small disturbances will not alter the desired target of control.

Such a concept is calling more attention to the modeling and simplification of dynamic systems subject to uncertain environment.

It also impacts on the fine analysis and robust design of controlled dynamic systems resulting in new control strategies due to understanding of nonlinear phenomena and artificial intelligence.

Those control strategies can also help the combination of passive control, active control and semi-active control, as well as the interaction among sensors, controllers and actuators.

Content:
Front Matter....Pages i-xxiv
Front Matter....Pages -
Nonlinear Multi-Body Dynamics of Seat-Occupant Systems Using Experimentally Identified Viscoelastic Models of Polyurethne Foam....Pages 1-10
Data-Based Stochastic Models of Uncertain Nonlinear Systems....Pages 11-22
Overturning Probability of Railway Vehicles under Wind Gust Loads....Pages 23-32
Impact Systems with Uncertainty....Pages 33-44
Front Matter....Pages -
Uncertainty Propagation in Complex Engineering Systems by Advanced Monte Carlo Methods....Pages 45-54
Trajectory Tubes in Control and Estimation Problems under Uncertainty....Pages 55-64
Cell Mapping Applied to Random Dynamical Systems....Pages 65-76
Numerical Analysis of Bifurcation and Chaos Response in a Cracked Rotor System under White Noise Disturbance....Pages 77-86
The Maximal Lyapunov Exponent for a Stochastic System....Pages 87-96
Stability and Density Analysis of Stochastic Duffing Oscillators....Pages 97-108
Uncertainties in Deterministic Dynamical Systems and the Coherence of Stochastic Dynamical Systems....Pages 109-116
The Cell Mapping Method for Approximating the Invariant Manifolds....Pages 117-126
Front Matter....Pages -
Dynamical Fractal Dimension: Direct and Inverse Problems....Pages 127-136
Ray Stability for Range-Dependent Background Sound Speed Profiles....Pages 137-146
Application of Extended Averaged Equations to Nonlinear Vibration Analysis....Pages 147-156
Singularity Analysis on Constrained Bifurcations....Pages 157-165
Nonlinear Analysis of Rotor Dynamics by Using the Method of Multiple Scales....Pages 167-176
Nonlinear Dynamics of a Spur Gear Pair with Slight Wear Fault....Pages 177-185
A Combined Continuation and Penalty Method for the Determination of Optimal Hybrid Mechanical Trajectories....Pages 187-196
Front Matter....Pages -
Numerical Prediction and Experimental Observation of Triple Pendulum Dynamics....Pages 197-205
Front Matter....Pages -
Nonlinear Vibration Modes and Energy Localization in Micro-Resonator Arrays....Pages 207-216
Parametric Resonance of an Axially Accelerating Viscoelastic Beam with Non-Typical Boundary Conditions....Pages 217-226
Dynamics of a Body Controlled by Internal Motions....Pages 227-236
Linear and Nonlinear Elastodynamics of Nonshallow Cables....Pages 237-246
Nonlinear Normal Modes of Homoclinic Orbits and their Use for Dimension Reduction in Chaos Control....Pages 247-256
Rotating Slip Stick Separation Waves....Pages 257-266
Many Pulses Homoclinic Orbits and Chaotic Dynamics for Nonlinear Nonplanar Motion of a Cantilever Beam....Pages 267-276
Front Matter....Pages -
Synthesis of Bounded Control for Nonlinear Uncertain Mechanical Systems....Pages 277-286
Controlled Vibration Suppression of Structural Telescopic Systems....Pages 287-296
Influence of a Pendulum Absorber on the Nonlinear Behavior and Instabilities of a Tall Tower....Pages 297-306
Robust Flutter Control of an Airfoil Section through an Ultrasonic Motor....Pages 307-316
Periodization and Synchronization of Duffing Oscillators Suspended on Elastic Beam....Pages 317-322
Effects of Noise on Synchronization and Spatial Patterns in Coupled Neuronal Systems....Pages 323-332
Front Matter....Pages -
Stability and Response of Stochastic Delayed Systems with Delayed Feedback Control....Pages 333-342
Robust Time-Periodic Control of Time-Delayed Systems....Pages 343-352
Self-Interrupted Regenerative Turning....Pages 353-362
Robust Stability of Time-Delay Systems with Uncertain Parameters....Pages 363-372
Dynamics due to Non-Resonant Double Hopf Bifurcationin in Van Del Pol-Duffing System with Delayed Position Feedback....Pages 373-382
Stability and Response of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control....Pages 383-392
Back Matter....Pages 393-394

---

This is a state-of-the-art treatise on the problems of both nonlinearity and uncertainty in the dynamics and control of engineering systems.

The concept of dynamics and control implies the combination of dynamic analysis and control synthesis.

It is essential to gain insight into the dynamics of a nonlinear system with uncertainty if any new control strategy is designed to utilize nonlinearity.

However, the new control strategy to be proposed must be robust enough so that any unexpected small disturbances will not alter the desired target of control.

Such a concept is calling more attention to the modeling and simplification of dynamic systems subject to uncertain environment.

It also impacts on the fine analysis and robust design of controlled dynamic systems resulting in new control strategies due to understanding of nonlinear phenomena and artificial intelligence.

Those control strategies can also help the combination of passive control, active control and semi-active control, as well as the interaction among sensors, controllers and actuators.

Content:
Front Matter....Pages i-xxiv
Front Matter....Pages -
Nonlinear Multi-Body Dynamics of Seat-Occupant Systems Using Experimentally Identified Viscoelastic Models of Polyurethne Foam....Pages 1-10
Data-Based Stochastic Models of Uncertain Nonlinear Systems....Pages 11-22
Overturning Probability of Railway Vehicles under Wind Gust Loads....Pages 23-32
Impact Systems with Uncertainty....Pages 33-44
Front Matter....Pages -
Uncertainty Propagation in Complex Engineering Systems by Advanced Monte Carlo Methods....Pages 45-54
Trajectory Tubes in Control and Estimation Problems under Uncertainty....Pages 55-64
Cell Mapping Applied to Random Dynamical Systems....Pages 65-76
Numerical Analysis of Bifurcation and Chaos Response in a Cracked Rotor System under White Noise Disturbance....Pages 77-86
The Maximal Lyapunov Exponent for a Stochastic System....Pages 87-96
Stability and Density Analysis of Stochastic Duffing Oscillators....Pages 97-108
Uncertainties in Deterministic Dynamical Systems and the Coherence of Stochastic Dynamical Systems....Pages 109-116
The Cell Mapping Method for Approximating the Invariant Manifolds....Pages 117-126
Front Matter....Pages -
Dynamical Fractal Dimension: Direct and Inverse Problems....Pages 127-136
Ray Stability for Range-Dependent Background Sound Speed Profiles....Pages 137-146
Application of Extended Averaged Equations to Nonlinear Vibration Analysis....Pages 147-156
Singularity Analysis on Constrained Bifurcations....Pages 157-165
Nonlinear Analysis of Rotor Dynamics by Using the Method of Multiple Scales....Pages 167-176
Nonlinear Dynamics of a Spur Gear Pair with Slight Wear Fault....Pages 177-185
A Combined Continuation and Penalty Method for the Determination of Optimal Hybrid Mechanical Trajectories....Pages 187-196
Front Matter....Pages -
Numerical Prediction and Experimental Observation of Triple Pendulum Dynamics....Pages 197-205
Front Matter....Pages -
Nonlinear Vibration Modes and Energy Localization in Micro-Resonator Arrays....Pages 207-216
Parametric Resonance of an Axially Accelerating Viscoelastic Beam with Non-Typical Boundary Conditions....Pages 217-226
Dynamics of a Body Controlled by Internal Motions....Pages 227-236
Linear and Nonlinear Elastodynamics of Nonshallow Cables....Pages 237-246
Nonlinear Normal Modes of Homoclinic Orbits and their Use for Dimension Reduction in Chaos Control....Pages 247-256
Rotating Slip Stick Separation Waves....Pages 257-266
Many Pulses Homoclinic Orbits and Chaotic Dynamics for Nonlinear Nonplanar Motion of a Cantilever Beam....Pages 267-276
Front Matter....Pages -
Synthesis of Bounded Control for Nonlinear Uncertain Mechanical Systems....Pages 277-286
Controlled Vibration Suppression of Structural Telescopic Systems....Pages 287-296
Influence of a Pendulum Absorber on the Nonlinear Behavior and Instabilities of a Tall Tower....Pages 297-306
Robust Flutter Control of an Airfoil Section through an Ultrasonic Motor....Pages 307-316
Periodization and Synchronization of Duffing Oscillators Suspended on Elastic Beam....Pages 317-322
Effects of Noise on Synchronization and Spatial Patterns in Coupled Neuronal Systems....Pages 323-332
Front Matter....Pages -
Stability and Response of Stochastic Delayed Systems with Delayed Feedback Control....Pages 333-342
Robust Time-Periodic Control of Time-Delayed Systems....Pages 343-352
Self-Interrupted Regenerative Turning....Pages 353-362
Robust Stability of Time-Delay Systems with Uncertain Parameters....Pages 363-372
Dynamics due to Non-Resonant Double Hopf Bifurcationin in Van Del Pol-Duffing System with Delayed Position Feedback....Pages 373-382
Stability and Response of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control....Pages 383-392
Back Matter....Pages 393-394
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