Contents

Abstract
Acknowledgements
Contents
List of Tables
List of Figures
List of Abbreviations
List of Symbols
1. Introduction
1.1 Problem Statement
1.2 Previous Work
1.2.1 Reliability-Based Design Optimization(RBDO)
1.2.2 Probabilistic Reanalysis(PRRA)
1.3 Research Objective
1.4 Outline of Thesis
2. Methodology
2.1 Probabilistic Design Overview
2.2 Probabilistic Reanalysis
2.2.1 Importance Sampling
2.2.2 Efficient PRRA
2.3 Trust Region Method
2.3.1 Overview of Trust Region Approach in RBDO
2.3.2 Algorithm
2.4 Global-local Method
2.5 Conclusion
3. Application
3.1 Problem Description
3.1.1 Description of a Ten-bar Truss Model
3.1.2 Problem Definition and Objective Function
3.2 Trust Region Optimization Design
3.2.1 Design Procedure
3.2.2 Results and Discussion
3.3 Global-Local Optimization Design
3.3.1 Design Procedure
3.3.2 Results and Discussion
3.4 Discussion and Lessons Learnt
4. Conclusion
References