Introduction to design sensitivity analysis -- Methods of design sensitivity analysis -- Imperfection sensitivity analysis -- 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 bifurication -- Hilltop branching point II: multiple bifurications -- Hilltop branching point III: degenerate -- Worst imperfection: asymptotic theory -- Worst imperfection: anti-opimization by LP and QP -- Worst imperfection for stable bifurication -- Random imperfections: theory -- Random imperfections of elasto-plastic solids -- Random imperfections: higher-order analysis.
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Text of Note
"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 serves as an illustrative introduction for professional structural and mechanical engineers, graduate students in engineering, as well as applied mathematicians in the field."--Jacket.