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Stability and Optimization of Structures

Stability and Optimization of Structures PDF Author: Makoto Ohsaki
Publisher: Springer Science & Business Media
ISBN: 0387681841
Category : Technology & Engineering
Languages : en
Pages : 269

Book 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.

Stability and Optimization of Structures

Stability and Optimization of Structures PDF Author: Makoto Ohsaki
Publisher: Springer Science & Business Media
ISBN: 0387681841
Category : Technology & Engineering
Languages : en
Pages : 269

Book 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.

Structural Optimization Under Stability and Vibration Constraints

Structural Optimization Under Stability and Vibration Constraints PDF Author: M. Zyczkowski
Publisher: Springer
ISBN: 3709129699
Category : Technology & Engineering
Languages : en
Pages : 336

Book Description
Optimal design of structures leads, as a rule, to slender and thin-walled shapes of the elements, and such elements are subject to the loss of stability. Hence the constraints of structural optimization usually include stability constraints, expressed by some eigenvalues. Optimal design under vibration constraints belongs also to optimization with respect to eigenvalues. The present volume gives a short introduction to structural optimization and then pays particular attention to multimodal optimization under stability and vibration constraints, both in elastic and inelastic range. One part is devoted to thin-walled bars optimized for interactive buckling with imperfections taken into account. The volume is of interest both to researchers and design engineers: it covers the most recent results of multimodal and interactive optimization, allowing for inelastic behaviour of structures, and the constraints discussed appear in almost all problems of engineering design.

Structural Optimization Under Stability and Vibration Constraints

Structural Optimization Under Stability and Vibration Constraints PDF Author: M. Zyczkowski
Publisher:
ISBN: 9783709129708
Category :
Languages : en
Pages : 340

Book Description


Optimization and Anti-Optimization of Structures Under Uncertainty

Optimization and Anti-Optimization of Structures Under Uncertainty PDF Author: Isaac Elishakoff
Publisher: World Scientific
ISBN: 190897818X
Category : Technology & Engineering
Languages : en
Pages : 424

Book Description
The volume presents a collaboration between internationally recognized experts on anti-optimization and structural optimization, and summarizes various novel ideas, methodologies and results studied over 20 years. The book vividly demonstrates how the concept of uncertainty should be incorporated in a rigorous manner during the process of designing real-world structures. The necessity of anti-optimization approach is first demonstrated, then the anti-optimization techniques are applied to static, dynamic and buckling problems, thus covering the broadest possible set of applications. Finally, anti-optimization is fully utilized by a combination of structural optimization to produce the optimal design considering the worst-case scenario. This is currently the only book that covers the combination of optimization and anti-optimization. It shows how various optimization techniques are used in the novel anti-optimization technique, and how the structural optimization can be exponentially enhanced by incorporating the concept of worst-case scenario, thereby increasing the safety of the structures designed in various fields of engineering. Contents:Optimization or Making the Best in the Presence of Certainty/UncertaintyGeneral Formulation of Anti-OptimizationAnti-Optimization in Static ProblemsAnti-Optimization in BucklingAnti-Optimization in VibrationAnti-Optimization via FEM-Based Interval AnalysisAnti-Optimization and Probabilistic DesignHybrid Optimization with Anti-Optimization under Uncertainty or Making the Best Out of the Worst Readership: Graduate students, professionals and academics in the field of mechanical engineering. Keywords:Anti-Optimization;Structural Optimization;Convex Model;Worst-Case Scenario;Ellipsoidal Model;Worst Excitation;Worst Imperfection;Homology Design;Interval AnalysisKey Features:This is the first book on optimization and anti-optimization Tackles two of the most important facets of engineering — safety and optimality — in a unified manner; the book may prove to be a turning point in both optimization and uncertainty studies by the suggested hybrid treatmentReviews:“Many applications to the optimal structural design are presented. Since some of the criteria are based on worst case scenarios, nested or two-stage optimization problems have to be considered. The book contains many examples and a large number of references.”Zentralblatt MATH

Variational Methods for Structural Optimization

Variational Methods for Structural Optimization PDF Author: Andrej Cherkaev
Publisher: Springer Science & Business Media
ISBN: 1461211883
Category : Science
Languages : en
Pages : 561

Book Description
This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.

Introduction to Optimization of Structures

Introduction to Optimization of Structures PDF Author: N.V. Banichuk
Publisher: Springer Science & Business Media
ISBN: 1461233763
Category : Technology & Engineering
Languages : en
Pages : 308

Book Description
This is an exposition of the theory, techniques, and the basic formulation of structural optimization problems. The author considers applications of design optimization criteria involving strength, rigidity, stability and weight. Analytic and numerical techniques are introduced for research in optimal shapes and internal configurations of deformable bodies and structures. Problems of the optimal design of beams, systems of rods, plates and shells, are studied in detail. With regard to applications, this work is oriented towards solutions of real problems, such as reduction of the volume or weight of the material, and improvement of mechanical properties of structures. This book is written for readers specializing in applied mechanics, applied mathematics, and numerical analysis."

Optimal Structural Design under Stability Constraints

Optimal Structural Design under Stability Constraints PDF Author: Antoni Gajewski
Publisher: Springer
ISBN: 9789400927551
Category : Science
Languages : en
Pages : 470

Book Description
The first optimal design problem for an elastic column subject to buckling was formulated by Lagrange over 200 years ago. However, rapid development of structural optimization under stability constraints occurred only in the last twenty years. In numerous optimal structural design problems the stability phenomenon becomes one of the most important factors, particularly for slender and thin-walled elements of aerospace structures, ships, precision machines, tall buildings etc. In engineering practice stability constraints appear more often than it might be expected; even when designing a simple beam of constant width and variable depth, the width - if regarded as a design variable - is finally determined by a stability constraint (lateral stability). Mathematically, optimal structural design under stability constraints usually leads to optimization with respect to eigenvalues, but some cases fall even beyond this type of problems. A total of over 70 books has been devoted to structural optimization as yet, but none of them has treated stability constraints in a sufficiently broad and comprehensive manner. The purpose of the present book is to fill this gap. The contents include a discussion of the basic structural stability and structural optimization problems and the pertinent solution methods, followed by a systematic review of solutions obtained for columns, arches, bar systems, plates, shells and thin-walled bars. A unified approach based on Pontryagin's maximum principle is employed inasmuch as possible, at least to problems of columns, arches and plates. Parametric optimization is discussed as well.

Topology Design of Structures

Topology Design of Structures PDF Author: Martin P. Bendsøe
Publisher: Springer Science & Business Media
ISBN: 9401118043
Category : Mathematics
Languages : en
Pages : 564

Book Description
Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992

Stability and Optimization of Flexible Space Structures

Stability and Optimization of Flexible Space Structures PDF Author: S.J. Britvec
Publisher: Birkhäuser
ISBN: 3034890532
Category : Technology & Engineering
Languages : en
Pages : 306

Book Description
The aim of this book is to present up-to-date methodologies in the analysis and optimization of the elastic stability of lightweight statically determinate, and in- determinate, space structures made of flexible members which are highly stiff when loaded centrally at the nodes. These are flat and curved space pin- connected open or enveloped lattices and reticulated shells which, due to their high loadbearing capacity to weight ratios, are gaining in importance in aerospace and other fields. They are utilized, for example, in space stations, as support structures for large radio-telescopes and for other equipment on earth and in outer space, as roof structures for the coverage and enclosure of large areas on earth and as underwater shell-type structures enveloped by a cover-shell capable of withstanding high hydrostatic pressures. • Space structures of this type are generally subjected to considerable internal axial loads in the flexible members and they fail through the loss of global statical stability, usually precipitated by the intrinsic small imperfections at finite near-critical elastic deformations - and not primarily by the the break-down of the material of which they are made, as is the case in conventional systems. Thus, the criterion in the design of such structures calls for eliminating or isolating the onset of the elastic dynamic collapse thereby increasing their safe stability limit. • Standard finite element methods, as they are employed by most users today, are totally inadequate for such analyses since they do not account for the choice of the branching paths in the loading process of the structure nor for the existence of the relevant collapse modes. • These aspects are novel and they are presented here for the first time in comprehensive book form.

Optimization of Large Structural Systems

Optimization of Large Structural Systems PDF Author: G. I. N. Rozvany
Publisher: Springer Science & Business Media
ISBN: 9780792321293
Category : Science
Languages : en
Pages : 594

Book Description
This is the second of two volumes which examine structural optimization of large structural systems. Topics covered in these volumes include optimality criteria and topology optimization, decomposition methods and approximation concepts, neural networks and parallel processing.