Structural Design Optimization Considering Uncertainties: Structures & Infrastructures Book , Vol. 1, Series, Series Editor: Dan M. Frangopol / Edition 1

by Yannis Tsompanakis, Nikos D. Lagaros, Manolis Papadrakakis

Overview

Uncertainties play a dominant role in the design and optimization of structures and infrastructures. In optimum design of structural systems due to variations of the material, manufacturing variations, variations of the external loads and modelling uncertainty, the parameters of a structure, a structural system and its environment are not given, fixed coefficients, but random variables with a certain probability distribution. The increasing necessity to solve complex problems in Structural Optimization, Structural Reliability and Probabilistic Mechanics, requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times.

This book presents the latest findings on structural optimization considering uncertainties. It contains selected contributions dealing with the use of probabilistic methods for the optimal design of different types of structures and various considerations of uncertainties. The first part is focused on reliability-based design optimization and the second part on robust design optimization. Comprising twenty-one, self-contained chapters by prominent authors in the field, it forms a complete collection of state-of-the-art theoretical advances and applications in the fields of structural optimization, structural reliability, and probabilistic computational mechanics. It is recommended to researchers, engineers, and students in civil, mechanical, naval and aerospace engineering and to professionals working on complicated costs-effective design problems.

Product Details

ISBN-13:	9780415452601
Publisher:	Taylor & Francis
Publication date:	02/07/2008
Series:	Structures and Infrastructures , #1
Pages:	656
Product dimensions:	6.90(w) x 9.80(h) x 1.70(d)

About the Author

Yannis Tsompanakis, Nikos D. Lagaros, Manolis Papadrakakis

Table of Contents

A. Reliability-based design optimization (RBDO)

• 1: Principles of reliability-based design optimization;
• 2: Reliability-based optimization of engineering structures;
• 3: Efficient approaches for system reliability-based design optimization;
• 4: Nondeterministic formulations of analytical target cascading for decomposition-based design optimization under uncertainty;
• 5: Design optimization of stochastic dynamic systems by algebraic reduced order models;
  6: Stochastic system design optimization using stochastic simulation;
• 7: Numerical and semi-numerical methods for reliability-based design optimization;
• 8: Advances in solution methods for reliability-based design optimization;
• 9: Non-probabilistic design optimization with insufficient data using possibility and evidence theories;
• 10: Reliability analysis and reliability based design optimization using moment methods;
• 11: A decoupled approach to reliability based topology optimization for structural synthesis;
• 12: Sample average approximations in reliability-based structural optimization: Theory and applications;
• 13: Cost-benefit optimization for maintained structures;
• 14: A Reliability-Based Maintenance Optimization Methodoloy;
• 15: Overview of reliability analysis and design capabilities in DAKOTA with Application to Shape Optimization of MEMS.

Part B. Robust design optimization (RDO)

• 16: Structural robustness and its relationship to reliability;
• 17: Maximum Robustness Design of Trusses via Semidefinite Programming;
• 18: A Taylor expansion approach to the design optimization of structures with randomness;
• 19: Info-gap robust design of passively controlled structures with load and model uncertainties;
• 20: Genetic algorithms and structural design using convex models of uncertainty;
• 21: Metamodel-based computing techniques for solving structural optimization problems considering uncertainties.
  

Editorial Reviews

"This book is successful in its goal of providing an overview of recent research on structural optimization under uncertainties. The papers present a diverse set of approaches. The reader interested in identifying the state-of-the-art in RBDO and RDO would find this book to be a very useful resource".

Professor Lori Graham-Brady, Department of Civil Engineering, John Hopkins University, Baltimore, Maryland, USA

From the Publisher