Stability and Optimization of Structures

Generalized Sensitivity Analysis

  • Makoto Ohsaki
  • Kiyohiro Ikeda

Part of the Mechanical Engineering Series book series (MES)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Generalized Sensitivity of Nonlinear Elastic Systems

    1. Front Matter
      Pages 1-1
    2. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 3-14
    3. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 15-34
    4. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 35-57
  3. Optimization Methods for Stability Design

    1. Front Matter
      Pages 59-59
    2. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 61-76
    3. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 77-86
    4. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 87-99
    5. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 101-114
    6. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 115-126
    7. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 127-136
    8. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 137-151
  4. Worst and Random Imperfections

    1. Front Matter
      Pages 153-153
    2. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 155-167
    3. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 169-180
    4. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 181-191
    5. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 193-202
    6. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 203-211
    7. Makoto Ohsaki, Kiyohiro Ikeda
      Pages 213-224

About this book

Introduction

Stability and Optimization of Structures: Generalized Sensitivity Analysis is the first book to address issues of structural optimization against nonlinear buckling. Through the investigation of imperfection sensitivity, worst imperfection and random imperfection based on concrete theoretical framework, it is shown that optimization against buckling does not necessarily produce an imperfection-sensitive structure.

This book offers the reader greater insight into optimization-based and computer-assisted stability design of finite-dimensional structures. Using the unified approach to parameter sensitivity analysis, it connects studies of elastic stability, computational mechanics and applied mathematics. Optimization based on stability theory is presented and explained, with 140 figures to illustrate applications in the framework of finite element analysis.

This book serves as an illustrative introduction for professional structural and mechanical engineers, graduate students in engineering, as well as applied mathematicians in the field.

Keywords

Analysis Computer Engineering Ikeda Mechanical Engineering Series Stab braced frames calculus concrete discrete mechanics nonlinear optimization stability structure

Editors and affiliations

  • Makoto Ohsaki
    • 1
  • Kiyohiro Ikeda
    • 2
  1. 1.Kyoto UniversityKyotoJapan
  2. 2.Tohoku UniversitySendaiJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-68184-9
  • Copyright Information Springer Science+Business Media, LLC 2007
  • Publisher Name Springer, Boston, MA
  • eBook Packages Engineering
  • Print ISBN 978-0-387-68183-2
  • Online ISBN 978-0-387-68184-9
  • Series Print ISSN 0941-5122
  • About this book