Stability and Optimization of Structures

Generalized Sensitivity Analysis

Makoto Ohsaki, Kiyohiro Ikeda (Autoren)

Buch | Softcover

269 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2007
Springer-Verlag New York Inc.
978-1-4419-4325-5 (ISBN)

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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.

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.

Erscheint lt. Verlag	24.11.2010
Reihe/Serie	Mechanical Engineering Series
Zusatzinfo	XVI, 269 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Bauwesen
	Technik ► Maschinenbau
ISBN-10	1-4419-4325-0 / 1441943250
ISBN-13	978-1-4419-4325-5 / 9781441943255
Zustand	Neuware