Book contents
- Global Strength of Ships
- Reviews
- Global Strength of Ships
- Copyright page
- Dedication
- Contents
- Preface
- Abbreviations
- 1 Ship Structures and Structural Design Practice
- 2 The Evolution of Ship Structures from Antiquity to the Present Day
- 3 Sea Loads on Ship Structures
- 4 Primary Loading of Ship Structures
- 5 Hull Structure, Mechanical Equipment and Cargo-Related Loads
- 6 Linear Response to Primary Loading
- 7 Nonlinear Response to Primary Loading
- 8 Hull Girder Vibration
- 9 Probabilistic Modelling of Primary Loading and Hull Girder Response
- 10 Design of Hull Girder for Strength
- 11 Aspects of Uncertainty
- 12 Ship Structural Reliability Theory and Applications
- 13 Hull Girder Strength Assessment Using the Finite Element Method
- 14 Optimum Design of Ship Structures
- Book part
- Index
- References
11 - Aspects of Uncertainty
Structural Reliability Theory and Fuzzy Logic
Published online by Cambridge University Press: 20 March 2025
Book contents
- Global Strength of Ships
- Reviews
- Global Strength of Ships
- Copyright page
- Dedication
- Contents
- Preface
- Abbreviations
- 1 Ship Structures and Structural Design Practice
- 2 The Evolution of Ship Structures from Antiquity to the Present Day
- 3 Sea Loads on Ship Structures
- 4 Primary Loading of Ship Structures
- 5 Hull Structure, Mechanical Equipment and Cargo-Related Loads
- 6 Linear Response to Primary Loading
- 7 Nonlinear Response to Primary Loading
- 8 Hull Girder Vibration
- 9 Probabilistic Modelling of Primary Loading and Hull Girder Response
- 10 Design of Hull Girder for Strength
- 11 Aspects of Uncertainty
- 12 Ship Structural Reliability Theory and Applications
- 13 Hull Girder Strength Assessment Using the Finite Element Method
- 14 Optimum Design of Ship Structures
- Book part
- Index
- References
Summary
The different types of uncertainty and the theories developed to account for them are presented in this chapter. The concepts of risk and reliability are introduced and defined following which basic probability ideas are discussed. The methods used to determine structural reliability are described (the direct integration method, Level II reliability methods and the Level I method). Level II reliability methods include the mean value first-order second-moment method and variants of it based on the Hasofer-Lind reliability index used in the case of nonlinear limit state functions and the Rackwitz-Fiessler procedure that has to be followed in the case of non-normal distributions. The Level I reliability method is discussed and the approach followed to determine partial safety factors described. In the next section fuzzy logic and fuzzy set theory are described. They are introduced by distinguishing between classical logic and fuzzy logic, following which fuzzy sets and fuzzy inference are described. In the last section the steps in the fuzzy inference system are presented and examples of such systems mentioned.
Keywords
- Type
- Chapter
- Information
- Global Strength of ShipsAnalysis and Design using Mathematical Methods, pp. 513 - 558Publisher: Cambridge University PressPrint publication year: 2025
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