Stability and optimization of structures : generalized sensitivity analysis

Bibliographic Information

Stability and optimization of structures : generalized sensitivity analysis

Makoto Ohsaki, Kiyohiro Ikeda

(Mechanical engineering series)

Springer, c2007

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Description and Table of Contents

Description

This book focuses on the optimization of a geometrically-nonlinear structure under stability constraint. It presents a deep insight into optimization-based and computer-assisted stability design of discrete structures. Coverage combines design sensitivity analysis developed in structural optimization and imperfection-sensitivity analysis developed in stability analysis.

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.

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