by Y.K. Lin
and G.Q. Cai

Presenting powerful new methods for analyzing uncertainties in the performance of designed systems, Probabilistic Structural Dynamics offers unparalleled tools for predicting the performance of new designs with new materials.

In this text, pioneering engineers demonstrate innovative mathematical techniques and explain how they can improve safety and drive new efficiencies in contemporary structures. Employing spectral analysis, Markov processes, and other stochastic tools, discover step-by-step how to:

• Perform dynamic analyses of linear and nonlinear systems
• Apply evolutionary spectral analysis
• Approximate solutions for multidimensional nonlinear systems
• Use insights from first-excursion failures
• Find answers for disordered structures
• Employ stochastics to achieve safer, more efficient design

Contents

1. Introduction
2. Spectral Analysis
3. Evolutionary Spectral Analysis
4. Markov Processes
5. Exact Solutions for Multidimensional Nonlinear Systems
6. Stability of Stochastic Systems
7. Approximate Solutions for Multidimensional Nonlinear Systems
8. First-Excursion Failures
9. Disordered Structures

Index

click here to see books • videos • cd-roms of related interest