Sinossi
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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Contenuti
Rotor Dynamics
Domain-to-Domain Evolution by Cell Mapping
On Internal Resonances of Mechanical Systems
Normal Modes and and Modal Analysis Techniques for Nonlinear Structural Systems
Stability Analysis of Symmetric Mechanical Systems
Feedback Control of Bifurcation and Chaos in Dynamical Systems
On the Discretization of Weakly Nonlinear Spatially Continuous Systems
Generation of Random Dynamical Systems
White Noise Processes in Random Vibration
Some Results in Stochastic Linearization of Nonlinear Systems
Some Exact Solutions in the Theory of Nonlinear Random Oscillations
Response Variation of Disordered Periodic Structures
A Unified Approach to Stochastic Stability
Stability of an SDOF System under Periodic Parametric Excitation with a White Noise Phase Modulation
Fatigue Crack Propagation in Random Media
The Role of Stochastic Dynamics in Risk and Reliability Assessment of Structural and Mechanical Systems
Inelastic Structures under Nonstationary Random Excitation
Numerical Methods for Stochastic Differential Equations
Computational Methods for Lyapunov Exponents and Invariant Measures
Stochastic Wave Propagation: Recent Trends and New Results
Index
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