Stability and Optimization of Structures

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.

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

Inhalt
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.