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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.]; Kreuzer, Edwin [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: IUTAM Book Series: 2Publisher: Dordrecht : Springer Netherlands, 2007.Description: XXIV, 394 p. online resource.ISBN: 9781402063329.Subject(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 MechanicsDDC classification: 620 Online 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 concept of dynamics and control implies the combination of dynamic analysis and control synthesis. It is essential to gain an 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 modelling and simplification of dynamic systems subject to uncertain environment, the fine analysis and robust design of controlled dynamic systems based on either good understanding of nonlinear phenomena or artificial intelligence, the combination of passive control, active control and semi-active control, as well as the interaction among sensors, controllers and actuators.
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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 concept of dynamics and control implies the combination of dynamic analysis and control synthesis. It is essential to gain an 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 modelling and simplification of dynamic systems subject to uncertain environment, the fine analysis and robust design of controlled dynamic systems based on either good understanding of nonlinear phenomena or artificial intelligence, the combination of passive control, active control and semi-active control, as well as the interaction among sensors, controllers and actuators.

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