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Stability and Optimization of Structures : Generalized Sensitivity Analysis /

Contributor(s): Ohsaki, Makoto [editor.] | Ikeda, Kiyohiro [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mechanical Engineering Series: Publisher: Boston, MA : Springer US, 2007.Description: XVI, 269 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387681849.Subject(s): Engineering | Computer mathematics | Mechanics | Statistical physics | Dynamical systems | Structural mechanics | Engineering design | Buildings -- Design and construction | Building | Construction | Engineering, Architectural | Engineering | Building Construction | Structural Mechanics | Mechanics | Engineering Design | Statistical Physics, Dynamical Systems and Complexity | Computational Science and EngineeringDDC classification: 690 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK9799
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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.

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.

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