Iutam Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty [electronic resource] : Proceedings of the IUTAM Symposium held in Nanjing, China, September 18-22, 2006 / edited by H. Y. Hu, Edwin Kreuzer.

By: Hu, H. Y [editor.]Contributor(s): Kreuzer, Edwin [editor.] | SpringerLink (Online service)Material type: TextTextLanguage: English Series: IUTAM Book Series: 2Publisher: Dordrecht : Springer Netherlands, 2007Description: XXIV, 395 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781402063329Subject(s): Engineering | Engineering mathematics | Mechanics, applied | Mechanical engineering | Vibration | Engineering | Vibration, Dynamical Systems, Control | Appl.Mathematics/Computational Methods of Engineering | Theoretical and Applied Mechanics | Structural MechanicsAdditional physical formats: Printed edition:: No titleDDC classification: 620 LOC classification: TA355TA352-356Online resources: Click here to access online
Contents:
System Modeling with Uncertainty -- Nonlinear Multi-Body Dynamics of Seat-Occupant Systems Using Experimentally Identified Viscoelastic Models of Polyurethne Foam -- Data-Based Stochastic Models of Uncertain Nonlinear Systems -- Overturning Probability of Railway Vehicles under Wind Gust Loads -- Impact Systems with Uncertainty -- System Dynamics with Uncertainty -- Uncertainty Propagation in Complex Engineering Systems by Advanced Monte Carlo Methods -- Trajectory Tubes in Control and Estimation Problems under Uncertainty -- Cell Mapping Applied to Random Dynamical Systems -- Numerical Analysis of Bifurcation and Chaos Response in a Cracked Rotor System under White Noise Disturbance -- The Maximal Lyapunov Exponent for a Stochastic System -- Stability and Density Analysis of Stochastic Duffing Oscillators -- Uncertainties in Deterministic Dynamical Systems and the Coherence of Stochastic Dynamical Systems -- The Cell Mapping Method for Approximating the Invariant Manifolds -- Nonlinear Dynamics -- Dynamical Fractal Dimension: Direct and Inverse Problems -- Ray Stability for Range-Dependent Background Sound Speed Profiles -- Application of Extended Averaged Equations to Nonlinear Vibration Analysis -- Singularity Analysis on Constrained Bifurcations -- Nonlinear Analysis of Rotor Dynamics by Using the Method of Multiple Scales -- Nonlinear Dynamics of a Spur Gear Pair with Slight Wear Fault -- A Combined Continuation and Penalty Method for the Determination of Optimal Hybrid Mechanical Trajectories -- Dynamics of High-Dimensional Systems -- Numerical Prediction and Experimental Observation of Triple Pendulum Dynamics -- Nonlinear Vibration Modes and Energy Localization in Micro-Resonator Arrays -- Parametric Resonance of an Axially Accelerating Viscoelastic Beam with Non-Typical Boundary Conditions -- Dynamics of a Body Controlled by Internal Motions -- Linear and Nonlinear Elastodynamics of Nonshallow Cables -- Nonlinear Normal Modes of Homoclinic Orbits and their Use for Dimension Reduction in Chaos Control -- Rotating Slip Stick Separation Waves -- Many Pulses Homoclinic Orbits and Chaotic Dynamics for Nonlinear Nonplanar Motion of a Cantilever Beam -- Control of Nonlinear Dynamic Systems -- Synthesis of Bounded Control for Nonlinear Uncertain Mechanical Systems -- Controlled Vibration Suppression of Structural Telescopic Systems -- Influence of a Pendulum Absorber on the Nonlinear Behavior and Instabilities of a Tall Tower -- Robust Flutter Control of an Airfoil Section through an Ultrasonic Motor -- Periodization and Synchronization of Duffing Oscillators Suspended on Elastic Beam -- Effects of Noise on Synchronization and Spatial Patterns in Coupled Neuronal Systems -- Dynamics of Time-Delay Systems -- Stability and Response of Stochastic Delayed Systems with Delayed Feedback Control -- Robust Time-Periodic Control of Time-Delayed Systems -- Self-Interrupted Regenerative Turning -- Robust Stability of Time-Delay Systems with Uncertain Parameters -- Dynamics due to Non-Resonant Double Hopf Bifurcationin in Van Del Pol-Duffing System with Delayed Position Feedback -- Stability and Response of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control.
In: Springer eBooksSummary: 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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System Modeling with Uncertainty -- Nonlinear Multi-Body Dynamics of Seat-Occupant Systems Using Experimentally Identified Viscoelastic Models of Polyurethne Foam -- Data-Based Stochastic Models of Uncertain Nonlinear Systems -- Overturning Probability of Railway Vehicles under Wind Gust Loads -- Impact Systems with Uncertainty -- System Dynamics with Uncertainty -- Uncertainty Propagation in Complex Engineering Systems by Advanced Monte Carlo Methods -- Trajectory Tubes in Control and Estimation Problems under Uncertainty -- Cell Mapping Applied to Random Dynamical Systems -- Numerical Analysis of Bifurcation and Chaos Response in a Cracked Rotor System under White Noise Disturbance -- The Maximal Lyapunov Exponent for a Stochastic System -- Stability and Density Analysis of Stochastic Duffing Oscillators -- Uncertainties in Deterministic Dynamical Systems and the Coherence of Stochastic Dynamical Systems -- The Cell Mapping Method for Approximating the Invariant Manifolds -- Nonlinear Dynamics -- Dynamical Fractal Dimension: Direct and Inverse Problems -- Ray Stability for Range-Dependent Background Sound Speed Profiles -- Application of Extended Averaged Equations to Nonlinear Vibration Analysis -- Singularity Analysis on Constrained Bifurcations -- Nonlinear Analysis of Rotor Dynamics by Using the Method of Multiple Scales -- Nonlinear Dynamics of a Spur Gear Pair with Slight Wear Fault -- A Combined Continuation and Penalty Method for the Determination of Optimal Hybrid Mechanical Trajectories -- Dynamics of High-Dimensional Systems -- Numerical Prediction and Experimental Observation of Triple Pendulum Dynamics -- Nonlinear Vibration Modes and Energy Localization in Micro-Resonator Arrays -- Parametric Resonance of an Axially Accelerating Viscoelastic Beam with Non-Typical Boundary Conditions -- Dynamics of a Body Controlled by Internal Motions -- Linear and Nonlinear Elastodynamics of Nonshallow Cables -- Nonlinear Normal Modes of Homoclinic Orbits and their Use for Dimension Reduction in Chaos Control -- Rotating Slip Stick Separation Waves -- Many Pulses Homoclinic Orbits and Chaotic Dynamics for Nonlinear Nonplanar Motion of a Cantilever Beam -- Control of Nonlinear Dynamic Systems -- Synthesis of Bounded Control for Nonlinear Uncertain Mechanical Systems -- Controlled Vibration Suppression of Structural Telescopic Systems -- Influence of a Pendulum Absorber on the Nonlinear Behavior and Instabilities of a Tall Tower -- Robust Flutter Control of an Airfoil Section through an Ultrasonic Motor -- Periodization and Synchronization of Duffing Oscillators Suspended on Elastic Beam -- Effects of Noise on Synchronization and Spatial Patterns in Coupled Neuronal Systems -- Dynamics of Time-Delay Systems -- Stability and Response of Stochastic Delayed Systems with Delayed Feedback Control -- Robust Time-Periodic Control of Time-Delayed Systems -- Self-Interrupted Regenerative Turning -- Robust Stability of Time-Delay Systems with Uncertain Parameters -- Dynamics due to Non-Resonant Double Hopf Bifurcationin in Van Del Pol-Duffing System with Delayed Position Feedback -- Stability and Response of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control.

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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