Overview
- 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
Part of the book series: Mechanical Engineering Series (MES)
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Table of contents (16 chapters)
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Front Matter
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Generalized Sensitivity of Nonlinear Elastic Systems
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Front Matter
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Optimization Methods for Stability Design
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Front Matter
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Keywords
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)
Editors and Affiliations
Bibliographic Information
Book Title: Stability and Optimization of Structures
Book Subtitle: Generalized Sensitivity Analysis
Editors: Makoto Ohsaki, Kiyohiro Ikeda
Series Title: Mechanical Engineering Series
DOI: https://doi.org/10.1007/978-0-387-68184-9
Publisher: Springer New York, NY
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag US 2007
Hardcover ISBN: 978-0-387-68183-2Published: 10 July 2007
Softcover ISBN: 978-1-4419-4325-5Published: 24 November 2010
eBook ISBN: 978-0-387-68184-9Published: 10 June 2007
Series ISSN: 0941-5122
Series E-ISSN: 2192-063X
Edition Number: 1
Number of Pages: XVI, 269
Topics: Building Construction and Design, Solid Mechanics, Classical Mechanics, Engineering Design, Complex Systems, Computational Science and Engineering