Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems.
Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems.
1. Rotordynamics 2. Domain-to-Domain Evolution by Cell Mapping 3. On Internal Resonances of Mechanical Systems 4. Normal Modes and and Modal Analysis Techniques for Nonlinear Structural Systems 5. Stability Analysis of Symmetric Mechanical Systems 6. Feedback Control of Bifurcation and Chaos in Dynamical Systems 7. On the Discretization of Weakly Nonlinear Spatially Continuous Systems 8. Generation of Random Dynamical Systems 9. White Noise Processes in Random Vibration 10. Some Results in Stochastic Linearization of Nonlinear Systems 11. Some Exact Solutions in the Theory of Nonlinear Random Oscillations 12. Response Variation of Disordered Periodic Structures 13. A Unified Approach to Stochastic Stability 14. Stability of an SDOF System under Periodic Parametric Excitation with a White Noise Phase Modulation 15. Fatigue Crack Propagation in Random Media 16. The Role of Stochastic Dynamics in Risk and Reliability Assessment of Structural and Mechanical Systems 17. Inelastic Structures under Nonstationary Random Excitation 18. Numerical Methods for Stochastic Differential Equations 19. Computational Methods for Lyapunov Exponents and Invariant Measures 20. Stochastic Wave Propagation: Recent Trends and New Results
1. Rotordynamics 2. Domain-to-Domain Evolution by Cell Mapping 3. On Internal Resonances of Mechanical Systems 4. Normal Modes and and Modal Analysis Techniques for Nonlinear Structural Systems 5. Stability Analysis of Symmetric Mechanical Systems 6. Feedback Control of Bifurcation and Chaos in Dynamical Systems 7. On the Discretization of Weakly Nonlinear Spatially Continuous Systems 8. Generation of Random Dynamical Systems 9. White Noise Processes in Random Vibration 10. Some Results in Stochastic Linearization of Nonlinear Systems 11. Some Exact Solutions in the Theory of Nonlinear Random Oscillations 12. Response Variation of Disordered Periodic Structures 13. A Unified Approach to Stochastic Stability 14. Stability of an SDOF System under Periodic Parametric Excitation with a White Noise Phase Modulation 15. Fatigue Crack Propagation in Random Media 16. The Role of Stochastic Dynamics in Risk and Reliability Assessment of Structural and Mechanical Systems 17. Inelastic Structures under Nonstationary Random Excitation 18. Numerical Methods for Stochastic Differential Equations 19. Computational Methods for Lyapunov Exponents and Invariant Measures 20. Stochastic Wave Propagation: Recent Trends and New Results
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