- 560 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Nonlinear Dynamics and Stochastic Mechanics
About this book
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. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.
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Yes, you can access Nonlinear Dynamics and Stochastic Mechanics by Wolfgang Kliemann in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- Preface
- 1 Rotordynamics
- 2 Domain-to-Domain Evolution by Cell Mapping
- 3 On Internal Resonances in Mechanical Systems
- 4 Normal Modes 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 Structures 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
- Index