Uncertainty and Optimization in Structural Mechanics 1st Edition by Abdelkhalak El Hami, Bouchaib Radi ISBN 1848215177 978-1848215177

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Product details: 

ISBN 10: 1848215177

ISBN 13:  978-1848215177

Author:  Abdelkhalak El Hami, Bouchaib Radi

Uncertainty and Optimization in Structural Mechanics

Optimization is generally a reduction operation of a definite quantity. This process naturally takes place in our environment and through our activities. For example, many natural systems evolve, in order to minimize their potential energy. Modeling these phenomena then largely relies on our capacity to artificially reproduce these processes. In parallel, optimization problems have quickly emerged from human activities, notably from economic concerns. This book includes the most recent ideas coming from research and industry in the field of optimization, reliability and the recognition of accompanying uncertainties. It is made up of eight chapters which look at the reviewing of uncertainty tools, system reliability, optimal design of structures and their optimization (of sizing, form, topology and multi-objectives) – along with their robustness and issues on optimal safety factors. Optimization reliability coupling will also be tackled in order to take into account the uncertainties in the modeling and resolution of the problems encountered. The book is aimed at students, lecturers, engineers, PhD students and researchers.

Table of contents: 

CHAPTER 1. UNCERTAINTY

1.1. Introduction

1.2. The optimization problem

1.3. Sources of uncertainty

1.4. Dealing with uncertainty

1.4.1. Reliability optimization

1.4.2. Robust optimization

1.4.3. Multi-object optimization

1.4.4. Stochastic optimization

1.4.5. Worst-case scenario based optimization

1.4.6. Non-probabilistic optimization

1.4.7. Interval modeling

1.4.8. Fuzzy sets

1.5. Analyzing sensitivity

1.5.1. Local sensitivity analysis

1.5.2. Global sensitivity analysis.

CHAPTER 2. RELIABILITY IN MECHANICAL SYSTEMS

2.1. Introduction

2.2. A structure reliability problem

2.3. Modeling a structure reliability problem

2.3.1. A deterministic mechanical model

2.3.2. Risks and probabilistic modeling

2.3.3. Types of failure in a structure

2.3.4. Probability of failure in a structure

2.4. Calculating the probability of failure in a structure

2.4.1. Calculating the probability of failure using the Monte Carlo method

2.4.2. Calculating the probability of failure using a reliability index

2.5. Reliability indices

2.5.1. The Rjanitzyne-Comellindex

2.5.2. The Hasofer-Lind index

2.5.3. The FORM method

2.5.4. The SORM method

2.6. Overview of the resistance-sollicitation problem

2.6.1. Probability of failure

2.6.2. Reliability indices

2.7. System reliability in mechanics.

2.7.1. Combinations of types of failure

2.7.2. Assessment of the failure probability of a system.

2.8. The finite element method and structural reliability

2.8.1. Context and objectives of the problem.

2.8.2. Discretization and modeling random fields

2.8.3. Mechano-reliability coupling.

2.8.4. Surface response coupling.

CHAPTER 3. OPTIMAL STRUCTURAL DESIGN

3.1. Introduction

3.2. Historical development of structural optimization

3.3. Classifying structural optimization problems

3.3.1. Dimensional optimization

3.3.2. Topological optimization

3.3.3. Shape optimization.

CHAPTER 4. MULTI-OBJECT OPTIMIZATION WITH UNCERTAINTY

4.1. Introduction

4.1.1. Choice of an optimization method

4.1.2. Classifying optimization methods

4.2. User classification

4.3. Design classification

4.4. Multi-objective genetic algorithms

4.5. Robust multi-objective optimization

4.5.1. Robustness criteria in multi-objective optimization.

4.6. Normal boundary intersection method 4.6.1. Description of the NBI method

4.7. Multi-objective structural optimization problem

CHAPTER 5. ROBUST OPTIMIZATION

5.1. Introduction

Activate

5.2. Modeling uncertainty

5.2.1. Parametric methods

5.2.2. Non-parametric methods

5.3. Accounting for robustness in optimum research

5.4. Robustness criteria

5.4.1. Defining uncertainty in design parameters.

5.4.2. Robustness criteria in multi-objective optimization.

5.5. Resolution method

5.6. Examples of mono-objective optimization.

CHAPTER 6. RELIABILITY OPTIMIZATION

6.1. Introduction

6.2. Overview of reliability optimization

6.3. Reliability optimization methods

6.4. The reliability indicator approach.

6.5. The single-loop approach

6.6. The sequential optimization and reliability assessment approach

CHAPTER 7. OPTIMAL SECURITY FACTORS APPROACH

7.1. Introduction

7.2. Standard method

73. The optimal security factors (OSFs) method

7.4. Extension of the OSF method to multiple failure scenarios

CHAPTER 8. RELIABILITY-BASED TOPOLOGY OPTIMIZATION

8.1. Introduction

8.2. Definitions in topology optimization

8.3. Topology optimization methods

8.4. Reliability coupling and topology optimization

8.5. Illustration and validation of the RBTO model

8.6. Application of the RBTO model to mechanics

8.6.1. Static analysis

8.6.2. Modal analysis

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Tags: Abdelkhalak El Hami, Bouchaib Radi, Uncertainty and Optimization, Structural Mechanics