Stability And Optimization Of Structures

Author : Makoto Ohsaki
Publisher : Springer Science & Business Media
ISBN 13 : 0387681841
Total Pages : 276 pages
Book Rating : 4.49/5 ( download)

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Download or read book Stability and Optimization of Structures written by Makoto Ohsaki and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : M. Zyczkowski
Publisher : Springer
ISBN 13 : 3709129699
Total Pages : 336 pages
Book Rating : 4.92/5 ( download)

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Download or read book Structural Optimization Under Stability and Vibration Constraints written by M. Zyczkowski and published by Springer. This book was released on 2014-05-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Andrej Cherkaev
Publisher : Springer Science & Business Media
ISBN 13 : 1461211883
Total Pages : 561 pages
Book Rating : 4.84/5 ( download)

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Download or read book Variational Methods for Structural Optimization written by Andrej Cherkaev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : M. Zyczkowski
Publisher :
ISBN 13 : 9783709129708
Total Pages : 340 pages
Book Rating : 4.02/5 ( download)

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Download or read book Structural Optimization Under Stability and Vibration Constraints written by M. Zyczkowski and published by . This book was released on 2014-09-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : N.V. Banichuk
Publisher : Springer Science & Business Media
ISBN 13 : 1461233763
Total Pages : 308 pages
Book Rating : 4.63/5 ( download)

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Download or read book Introduction to Optimization of Structures written by N.V. Banichuk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Author : Antoni Gajewski
Publisher : Springer
ISBN 13 : 9789400927551
Total Pages : 470 pages
Book Rating : 4.5X/5 ( download)

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Download or read book Optimal Structural Design under Stability Constraints written by Antoni Gajewski and published by Springer. This book was released on 2011-10-18 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Isaac Elishakoff
Publisher : World Scientific
ISBN 13 : 190897818X
Total Pages : 424 pages
Book Rating : 4.89/5 ( download)

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Download or read book Optimization and Anti-Optimization of Structures Under Uncertainty written by Isaac Elishakoff and published by World Scientific. This book was released on 2010-03-08 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : S.J. Britvec
Publisher : Birkhäuser
ISBN 13 : 3034890532
Total Pages : 306 pages
Book Rating : 4.33/5 ( download)

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Download or read book Stability and Optimization of Flexible Space Structures written by S.J. Britvec and published by Birkhäuser. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : G. I. N. Rozvany
Publisher : Springer Science & Business Media
ISBN 13 : 9780792321293
Total Pages : 594 pages
Book Rating : 4.94/5 ( download)

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Download or read book Optimization of Large Structural Systems written by G. I. N. Rozvany and published by Springer Science & Business Media. This book was released on 1993 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Vladimir Kobelev
Publisher : Springer Nature
ISBN 13 : 3031346327
Total Pages : 368 pages
Book Rating : 4.23/5 ( download)

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Download or read book Fundamentals of Structural Optimization written by Vladimir Kobelev and published by Springer Nature. This book was released on 2024-01-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a complementary resource to the courses "Advanced structural optimization" and "Structural optimization in automotive engineering" taught by the author at the University of Siegen, North-Rhine-Westphalia, Germany since 2001. Focusing on optimization problems in the field of structural engineering, this book offers a rigorous and analytical approach to problem-solving. Each chapter of the book begins with a brief overview of classical results and the derivation of governing equations. The solutions to optimization problems are then presented in a closed form, with the author guiding readers through several analytical methods for solving stability and contact tasks. Throughout the book, the author takes care to ensure that even readers without extensive experience in numerical computations can understand the conclusion of each relation. The book features several basic optimization problems, selected from a large pool of previously solved problems, with a particular emphasis on the unique features of optimization problems. By presenting analytical solutions, readers can better understand other known optimization problems and gain the skills needed to independently set and solve new problems. With its comprehensive and rigorous approach to problem-solving, this book is sure to enhance the reader's understanding of the field and equip them with the skills needed to tackle new challenges.