Elements of Structural Optimization

The field of structural optimization is still a relatively new field undergoing rapid changes in methods and focus. Until recently there was a severe imbalance between the enormous amount of literature on the subject, and the paucity of applications to practical design problems. This imbalance is being gradually redressed now. There is still no shortage of new publications, but there are also exciting applications of the methods of structural optimizations in the automotive, aerospace, civil engineering, machine design and other engineering fields. As a result of the growing pace of applications, research into structural optimization methods is increasingly driven by real-life problems. Most engineers who design structures employ complex general-purpose software packages for structural analysis. Often they do not have any access to the source the details of program, and even more frequently they have only scant knowledge of the structural analysis algorithms used in this software packages. Therefore the major challenge faced by researchers in structural optimization is to develop methods that are suitable for use with such software packages. Another major challenge is the high computational cost associated with the analysis of many complex real-life problems. In many cases the engineer who has the task of designing a structure cannot afford to analyze it more than a handful of times. Front Matter....Pages i-xiv Introduction....Pages 1-17 Classical Tools in Structural Optimization....Pages 19-60 Linear Mathematical Programming....Pages 61-98 Unconstrained Optimization....Pages 99-134 Constrained Optimization....Pages 135-175 Aspects of The Optimization Process in Practice....Pages 177-209 Sensitivity of Discrete Systems....Pages 211-250 Introduction to Variational Sensitivity Analysis....Pages 251-281 Dual and Optimality Criteria Methods....Pages 283-318 Decomposition and Multilevel Optimization....Pages 319-340 Optimum Design of Laminated Composite Structures....Pages 341-384 Back Matter....Pages 385-402