
Multifaceted Uncertainty Quantification
Description
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The book exposes three alternative and competing approaches to uncertainty analysis in engineering. It is composed of some essays on various sub-topics like random vibrations, probabilistic reliability, fuzzy-sets-based analysis, unknown-but-bounded variables, stochastic linearization, possible difficulties with stochastic analysis of structures.
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Content
- Intro
- Preface
- About the author
- Contents
- Chapter 1 Introduction: What this book is all about?
- Chapter 2 Topics in random vibration of structures
- Chapter 3 Essay on reliability index, probabilistic interpretation of safety factor, and worst-case design
- Chapter 4 Finite element method based on either stochasticity, fuzziness, or anti-optimization
- Chapter 5 Seven decades of progress in stochastic linearization technique
- Chapter 6 Essay on the role of the Monte Carlo method in stochastic mechanics
- Chapter 7 Fuzzy sets-based interpretation of the safety factor
- Chapter 8 Possible limitations of probabilistic methods in engineering
- Chapter 9 What may go wrong with probabilistic methods
- Chapter 10 From A. M. Freudenthal's criticisms to optimization and anti-optimization or Wald's Min-Max
- Chapter 11 Probability and convexity concepts are perfectly compatible
- Chapter 12 Conclusion: each uncertainty analysis is right
- Bibliography
- Author Index
- Subject Index
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