IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty

1. Front Matter

   Pages i-xxiv

   PDF

2. System Modeling with Uncertainty

   1. Front Matter

      PDF

   2. Nonlinear Multi-Body Dynamics of Seat-Occupant Systems Using Experimentally Identified Viscoelastic Models of Polyurethne Foam

      • A. K. Bajaj, P. Davies, R. Ippili, T. Puri

      Pages 1-10

   3. Data-Based Stochastic Models of Uncertain Nonlinear Systems

      • M. Hernandez-Garcia, S. F. Masri, R. Ghanem, F. Arrate

      Pages 11-22

   4. Overturning Probability of Railway Vehicles under Wind Gust Loads

      • C. Proppe, C. Wetzel

      Pages 23-32

   5. Impact Systems with Uncertainty

      • W. Schiehlen, R. Seifried

      Pages 33-44

3. System Dynamics with Uncertainty

   1. Front Matter

      PDF

   2. Uncertainty Propagation in Complex Engineering Systems by Advanced Monte Carlo Methods

      • S. K. Au, D. P. Thunnissen

      Pages 45-54

   3. Trajectory Tubes in Control and Estimation Problems under Uncertainty

      • T. F. Filippova

      Pages 55-64

   4. Cell Mapping Applied to Random Dynamical Systems

      • A. Gaull, Edwin Kreuzer

      Pages 65-76

   5. Numerical Analysis of Bifurcation and Chaos Response in a Cracked Rotor System under White Noise Disturbance

      • X. L. Leng

      Pages 77-86

   6. The Maximal Lyapunov Exponent for a Stochastic System

      • X. B. Liu

      Pages 87-96

   7. Stability and Density Analysis of Stochastic Duffing Oscillators

      • W. V. Wedig

      Pages 97-108

   8. Uncertainties in Deterministic Dynamical Systems and the Coherence of Stochastic Dynamical Systems

      • J. X. Xu, H. L. Zou

      Pages 109-116

   9. The Cell Mapping Method for Approximating the Invariant Manifolds

      • W. Xu, Q. He, S. Li

      Pages 117-126

4. Nonlinear Dynamics

   1. Front Matter

      PDF

   2. Dynamical Fractal Dimension: Direct and Inverse Problems

      • L. Bevilacqua, M. M. Barros

      Pages 127-136

   3. Ray Stability for Range-Dependent Background Sound Speed Profiles

      • T. Bódai, A. J. Fenwick, M. Wiercigroch

      Pages 137-146

   4. Application of Extended Averaged Equations to Nonlinear Vibration Analysis

      • N. D. Anh, N. Q. Hai, W. Schiehlen

      Pages 147-156

   5. Singularity Analysis on Constrained Bifurcations

      • Z. Q. Wu, Y. S. Chen

      Pages 157-165

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

• Analysis
• Chaos
• Motor
• Rotor
• artificial intelligence
• linearity
• modeling
• modelling
• numerical analysis
• resonance
• stability
• system modeling
• ultrasound
• vibration

• Nanjing University of Aeronautics and Astronautics, China

  H. Y. Hu

• TUHH - Hamburg University of Technology, Germany

  Edwin Kreuzer

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