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Mechanical Engineering Series

Stability and Optimization of Structures

Generalized Sensitivity Analysis

Authors: Ohsaki, Makoto, Ikeda, Kiyohiro

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  • Provides examples which demonstrate the computational efficiency and accuracy, as well as implementation in FEM codes
  • Serves as an illustrative introduction to stability theory for graduate students
  • Combines design sensitivity analysis developed in structural optimization and imperfection-sensitivity analysis developed in stability analysis
  • Presents numerical procedures of optimization within the framework of finite element analysis
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eBook $149.00
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  • ISBN 978-0-387-68184-9
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Hardcover $199.99
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  • ISBN 978-0-387-68183-2
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  • Immediate ebook access, if available*, with your print order
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Softcover $199.99
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  • ISBN 978-1-4419-4325-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
About this book

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.

Reviews

From the reviews:

"The book presents an overview of optimization and stability of geometrically nonlinear structures under stability constraints including sensitivity analysis. Structures with slender members such as latticed frames are considered. … The text is divided into three parts with an appendix. … The book offers a wide insight into optimization-based and computer-assisted stability design of finite-dimensional structures. It can be recommended to graduate students and research workers in engineering and applied mathematics." (Igor Bock, Zentralblatt MATH, Vol. 1127 (4), 2008)

"The present book provides a uniform treatment of the stability problem of discrete elastic systems and sensitivity analysis … . The general conclusions are illustrated by numerous specific examples of optimal designs, providing a deeper insight into the mechanical response of optimal structures. … The book constitutes a valuable contribution to the development of the methodology of optimal design of non-linear structures. … It can also be useful in teaching graduate courses in structural mechanics." (Z. Mróz, Mathematical Reviews, Issue 2008 m)

"This book is the first monograph that comprehensively presents how the stability theory and optimization methods should be successfully married for ‘optimization of geometrically-nonlinear structure under stability constraint,’ which is a fast-growing branch of application of both structural and mechanical engineering, and of applied mathematics. … This book is wholeheartedly recommended to all engineers who deal with applied mechanics, as well as to applied mathematicians who are interested in real life applications of mathematics. … Every engineering & math library ought to have it … ." (Isaac Elishakoff, Structural and Multidisciplinary Optimization, Vol. 38, 2009)


Table of contents (16 chapters)

Table of contents (16 chapters)
  • Introduction to Design Sensitivity Analysis

    Pages 3-14

    Ohsaki, Makoto (et al.)

  • Methods of Design Sensitivity Analysis

    Pages 15-34

    Ohsaki, Makoto (et al.)

  • Imperfection Sensitivity Analysis

    Pages 35-57

    Ohsaki, Makoto (et al.)

  • Optimization Under Stability Constraints

    Pages 61-76

    Ohsaki, Makoto (et al.)

  • Optimal Structures Under Snapthrough Constraint

    Pages 77-86

    Ohsaki, Makoto (et al.)

Buy this book

eBook $149.00
price for USA in USD
  • ISBN 978-0-387-68184-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-0-387-68183-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-1-4419-4325-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stability and Optimization of Structures
Book Subtitle
Generalized Sensitivity Analysis
Authors
Series Title
Mechanical Engineering Series
Copyright
2007
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-68184-9
DOI
10.1007/978-0-387-68184-9
Hardcover ISBN
978-0-387-68183-2
Softcover ISBN
978-1-4419-4325-5
Series ISSN
0941-5122
Edition Number
1
Number of Pages
XVI, 269
Topics

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