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 co…
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- Full title :Uncertainty and optimization in structural mechanics / Abdelkhalak El Hami, Bouchaïb Radi.
Summary
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. Book jacket.
Read More ↓Edition Statements
- Publication Date:2013
Publication Statements
- Publisher(s):ISTE Ltd, John Wiley and Sons, Inc
- Place of Publication:London, UK
- Language:eng
- Publication Date:2013
Notes
Minimal Level Cataloging Plus.
The Physical Object
- Description:xi, 130 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:9781848215177, 1848215177
- oclc:ocn840936827
- LC Classification:TA658.8 .E44 2013
- Dewey Decimal:624.17
Table of Contents
Uncertainty -- Introduction -- The optimization problem -- Sources of uncertainty -- Dealing with uncertainty -- Reliability optimization -- Robust optimization -- Multi-object optimization -- Stochastic optimization -- Worst-case scenario based optimization -- Non-probabilistic optimization -- Interval modeling -- Fuzzy sets -- Analyzing sensitivity -- Local sensitivity analysis -- Global sensitivity analysis -- Reliability in Mechanical Systems -- Introduction -- A structure reliability problem -- Modeling a structure reliability problem -- A deterministic mechanical model -- Risks and probabilistic modeling -- Types of failure in a structure -- Probability of failure in a structure -- Calculating the probability of failure in a structure -- Calculating the probability of failure using the Monte Carlo method -- Calculating the probability of failure using a reliability index -- Reliability indices -- The Rjanitzyne-Cornell index -- The Hasofer-Lind index -- The FORM method -- The SORM method -- Overview of the resistance-sollicitation problem -- Probability of failure -- Reliability indices -- System reliability in mechanics -- Combinations of types of failure -- Assessment of t…
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