Uncertainty and Optimization in Structural Mechanics

 introduces readers to the most recent ideas coming from research and industry in the field of optimization, reliability, and the recognition of uncertainties. This handy book features nine chapters, providing a thorough review of uncertainty tools, system reliability, as well as optimization of sizing, form, topology and multi-objective of the systems. In addition, the book tackles optimization-reliability coupling, in order to take into account the uncertainties in the modeling and the resolution of the problems encountered.

Chapter 1 – Uncertainties

Chapter 2 – System reliability

Chapter 3 – Optimal design of structures

Chapter 4 – Stochastic optimization

Chapter 5 – Multi-objective optimization with uncertainties

Chapter 6 – Robust optimization

Chapter 7 – Reliability optimization

Chapter 8 – Approach of optimal safety factors

Chapter 9 – Reliability-based topology optimization