Stability and Optimization of Structures: Generalized Sensitivity Analysis

by Makoto Ohsaki, Kiyohiro Ikeda

Overview

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.

Product Details

ISBN-13:	9781441943255
Publisher:	Springer US
Publication date:	11/24/2010
Series:	Mechanical Engineering Series
Edition description:	Softcover reprint of hardcover 1st ed. 2007
Pages:	269
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Generalized Sensitivity of Nonlinear Elastic Systems.- to Design Sensitivity Analysis.- Methods of Design Sensitivity Analysis.- Imperfection Sensitivity Analysis.- Optimization Methods for Stability Design.- Optimization Under Stability Constraints.- Optimal Structures Under Snapthrough Constraint.- Shape Optimization of Compliant Mechanisms.- Optimal Braced Frames with Coincident Buckling Loads.- Hilltop Branching Point I: Simple Bifurcation.- Hilltop Branching Point II: Multiple Bifurcations.- Hilltop Branching Point III: Degenerate.- Worst and Random Imperfections.- Worst Imperfection: Asymptotic Theory.- Worst Imperfection: Anti-optimization by LP and QP.- Worst Imperfection for Stable Bifurcation.- Random Imperfections: Theory.- Random Imperfections of Elasto-Plastic Solids.- Random Imperfections: Higher-Order Analysis.

Editorial 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)

From the Publisher