Uncertainty and Optimization in Structural Mechanics (eBook)

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.

Contents

1. Uncertainty.

2. Reliability in Mechanical Systems.

3. Optimal Structural Design.

4. Multi-object Optimization with Uncertainty.

5. Robust Optimization.

6. Reliability Optimization.

7. Optimal Security Factors Approach.

8. Reliability-based Topology Optimization.

About the Authors

Abdelkhalak El Hami is Professor at the Institut National des
Sciences Appliquées, Rouen, France. He is the author of many
articles and books on optimization and uncertainty.

Bouchaib Radi is Professor in the Faculty of Sciences and
Technology at the University of Hassan Premier, Settat, Morocco.
His research interests are in such areas as structural
optimization, parallel computation, contact problem and metal
forming. He is the author of many scientific articles and
books.