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Structural Optimization

Volume 1: Optimality Criteria

  • Book
  • © 1985

Overview

Editors:
  1. M. Save

    1. Polytechnic Institute of Mons, Mons, Belgium

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  2. W. Prager

    1. University of Minnesota, Minneapolis, USA

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  3. W. H. Warner

    1. University of Minnesota, Minneapolis, USA

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Part of the book series: Mathematical Concepts and Methods in Science and Engineering (MCSENG, volume 34)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
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  2. Review of Some Basic Concepts and Theorems of Structural Analysis

    • W. Prager
    Pages 1-29

  3. Problem Formulation and Optimality Criteria

    • W. Prager, M. Save
    Pages 31-39

  4. Optimal Design of Beams and Frames

    • M. Save
    Pages 41-120

  5. Optimal Design of Trusses

    • W. Prager
    Pages 121-151

  6. Optimal Design of Grillages

    • W. Prager
    Pages 153-200

  7. Optimal Design of Plates, Shells, and Disks

    • M. Save
    Pages 201-270

  8. Lagrange Multiplier Methods for Optimization with Constraints

    • G. Sacchi
    Pages 271-288

  9. Review of Some Extensions of Design Procedures

    • M. Save
    Pages 289-295

  10. Solutions to Exercises

    • M. Save, W. Prager, W. H. Warner
    Pages 297-321

  11. Back Matter

    Pages 323-334
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Keywords

About this book

After the IUTAM Symposium on Optimization in Structural Design held in Warsaw in 1973, it was clear to me that the time had come for organizing into a consistent body of thought the enormous quantity of results obtained in this domain, studied from so many different points of view, with so many different methods, and at so many levels of practical applicability. My colleague and friend Gianantonnio Sacchi from Milan and I met with Professor Prager in Savognin in July 1974, where I submitted to them my first ideas for a treatise on structural optimization: It should cover the whole domain from basic theory to practical applications, and deal with various materials, various types of structures, various functions required of the structures, and various types of cost . . Obviously, this was to be a team effort, to total three or four volumes, to be written in a balanced manner as textbooks and handbooks. Nothing similar existed at that time, and, indeed, nothing has been published to date. Professor Prager was immedi­ ately in favor of such a project. He agreed to write a first part on optimality criteria with me and to help me in the general organization of the series. Since Professor Sacchi was willing to write the text on variational methods, it remained to find authors for parts on the mathematical programming approach to structural optimization (and, more generally, on numerical methods) and on practical optimal design procedures in metal and concrete.

Editors and Affiliations

  • Polytechnic Institute of Mons, Mons, Belgium

    M. Save

  • University of Minnesota, Minneapolis, USA

    W. Prager, W. H. Warner

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