Stability and optimization of structures : generalized sensitivity analysis
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Bibliographic Information
Stability and optimization of structures : generalized sensitivity analysis
（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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