Stability and Optimization of Structures

Author: Makoto Ohsaki
Publisher: Springer Science & Business Media
ISBN: 0387681841
Format: PDF, Docs
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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.

Optimization and Anti optimization of Structures Under Uncertainty

Author: Isaac Elishakoff
Publisher: World Scientific
ISBN: 1848164785
Format: PDF, ePub
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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.

Optimization of Finite Dimensional Structures

Author: Makoto Ohsaki
Publisher: CRC Press
ISBN: 9781439820049
Format: PDF, ePub, Docs
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Originally developed for mechanical and aeronautical engineering, structural optimization is not so easily applied to civil and architectural engineering, as structures in these fields are not mass products, but more often unique structures planned in accordance with specific design requirements. The shape and geometry of such structures are determined by a designer or an architect in view of nonstructural performance that includes aesthetics. Until now, books in this area gave little help to engineers working in cooperation with designers, as they covered conceptual material with little consideration of civil engineering applications, or they required a solid background in applied mathematics and continuum mechanics, an area not usually studied by practicing engineers and students in civil engineering. Optimization of Finite Dimensional Structures introduces methodologies and applications that are closely related to design problems encountered in structural optimization, to serve as a bridge between the communities of structural optimization in mechanical engineering and the researchers and engineers in civil engineering. This unparalleled, self-contained work: Provides readers with the basics of optimization of frame structures, such as trusses, building frames, and long-span structures, with descriptions of various applications to real-world problems Summarizes the historical development of methodologies and theorems on optimization of frame structures Introduces many recently developed highly efficient optimization techniques presented with illustrative examples Describes traditional problems with constraints on limit loads, member stresses, compliance, and eigenvalues of vibration, all in detail Offers a unique look at optimization results for spatial trusses and latticed domes Mathematical preliminaries and methodologies are summarized in the book’s appendix, so that readers can attend to the details when needed without having to wade through tedious mathematics in the explanatory main chapters. Instead, small examples that can be solved by hand or by using a simple program are presented in these chapters, making the book readily accessible and highly useful for both classroom use and professional self-study.

Nonlinear Analysis of Thin Walled Structures

Author: James F. Doyle
Publisher: Springer Science & Business Media
ISBN: 9780387952161
Format: PDF, Docs
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Mechanical engineering, an engineering discipline born of the needs of the Industrial Revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face the profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a new series, featuring graduate texts and research monographs, intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that will cover a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consult ing editors are listed on page vi. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. We are pleased to present Nonlinear Analysis of Thin-Walled Structures by James F. Doyle. Austin, Texas Frederick F. Ling Preface This book is concerned with the challenging subject of the nonlinear static, dynamic, and stability analyses of thin-walled structures. It carries on from where Static and Dynamic Analysis of Structures, published by Kluwer 1991, left off; that book concentrated on frames and linear analysis, while the present book is focused on plated structures, nonlinear analysis, and a greater emphasis on stability analysis.

Multiparameter Stability Theory with Mechanical Applications

Author: A P Seyranian
Publisher: World Scientific
ISBN: 9814485705
Format: PDF, Mobi
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' This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects of nonconservative stability problems, analysis of singularities of boundaries for the stability domains, stability analysis of multiparameter linear periodic systems, and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems. A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems, etc. The methods presented are constructive and easy to implement in computer programs. This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics. Contents:Introduction to Stability TheoryBifurcation Analysis of EigenvaluesStability Boundary of General System Dependent on ParametersBifurcation Analysis of Roots and Stability of Characteristic Polynomial Dependent on ParametersVibrations and Stability of Conservative SystemGyroscopic StabilizationLinear Hamiltonian SystemsMechanical Effects Associated with Bifurcations and SingularitiesStability of Periodic Systems Dependent on ParametersStability Boundary of General Periodic SystemInstability Domains of Oscillatory System with Small Parametric Excitation and DampingStability Domains of Non-Conservative System under Small Parametric Excitation Readership: Graduate students, academics, researchers and practitioners in aerospace, naval, civil and mechanical engineering. Keywords:Multiparameter Stability Problem;Stability Domain;Bifurcation;Singularity;Perturbation;Flutter and Divergence Instability;Parametric ResonanceReviews:“The book is an excellent and most valuable contribution, which I warmly recommend to graduate students and university professors, as well as to researchers and industrial engineers interested in multiparameter stability theory and its applications in mechanics. I expect that this book will serve as an inspiration for studies of new problems, effects, and phenomena associated with instabilities, and that it will provide a new entry to classical problems as well.”Professor Niels Olhoff Structural and Multidisciplinary Optimization “… it is a very important and high-quality book. It represents a major contribution to the multi-parameter bifurcation theory of eigenvalues. Since Bolotin's pioneering book on nonconservation problems on the theory of elastic stability, not many books appeared at such a high level, such as this one. It beautifully summarizes the results of the authors' investigations performed for decades. The authors successfully analyze singularities of stability boundaries and provide consistent and in-depth descriptions of several most interesting mechanical effects. These include gyroscopic stabilization, instability transfer between the eigenvalue branches, paradox of destabilization by a small damping, disappearance of flutter instability, parametric resonance in periodically excited systems, to name a few.”Professor Isaac Elishakoff Meccanica “This book has succeeded in bringing qualitative results of the famous Russian school of applied mathematics to stability theory making these results quantitative and applicable … Without hesitation I can warmly recommend the book. I have no doubt that it will fulfil what the authors hope at the end of their preface … ‘to promote studies of new problems, effects, and phenomena associated with instabilities and catastrophes, and give a fresh view to classical problems.’”Wolfhard Kliem Mathematical Reviews “This book is highly recommended for researchers involved in the stability investigation of physical systems, because it explains the theory from the basic facts up to a sophisticated level.”Prof Alois Steindl Technical University of Vienna “The material covered in the book could be used as a basis for a graduate course in mechanical, aerospace or civil engineering, as well as in applied mathematics courses on stability. Researchers in those fields will also find this book an important addition to the existing literature. To all those the book is warmly recommended. It is my opinion that it will become a classic in the field.”Teodor M Atanackovic Theoretical and Applied Mechanics “This book succeeds in bringing qualitative results of the famous Russian school of applied mathematics to stability theory, making these results quantitative and applicable … applications play a major role in this book. This feature makes it of great value, especially for graduate students and engineers … Without hesitation I can warmly recommend the book.”Mathematical Reviews “This book is highly recommended for researchers involved in the stability investigation of physical systems, because it explains the theory from the basic facts up to a sophisticated level.”Zentralblatt MATH “This book reviewed is an excellent representative both of the mathematical outlook just described and of the close Russian-style interaction between abstract geometrical thinking and specific engineering applications … The text is clearly written and the mathematics attractively set out with plenty of clear and instructive diagrams: an enjoyable book to read.”Journal of Sound and Vibration '

Imperfect Bifurcation in Structures and Materials

Author: Kiyohiro Ikeda
Publisher: Springer Science & Business Media
ISBN: 9780387954097
Format: PDF, Kindle
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Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.

Optimization of Large Structural Systems

Author: George I. N. Rozvany
Publisher: Springer Science & Business Media
ISBN: 9401095779
Format: PDF, Kindle
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G.I.N. Rozvany ASI Director, Professor of Structural Design, FB 10, Essen University, Essen, Germany Structural optimization deals with the optimal design of all systems that consist, at least partially, of solids and are subject to stresses and deformations. This inte grated discipline plays an increasingly important role in all branches of technology, including aerospace, structural, mechanical, civil and chemical engineering as well as energy generation and building technology. In fact, the design of most man made objects, ranging from space-ships and long-span bridges to tennis rackets and artificial organs, can be improved considerably if human intuition is enhanced by means of computer-aided, systematic decisions. In analysing highly complex structural systems in practice, discretization is un avoidable because closed-form analytical solutions are only available for relatively simple, idealized problems. To keep discretization errors to a minimum, it is de sirable to use a relatively large number of elements. Modern computer technology enables us to analyse systems with many thousand degrees of freedom. In the optimization of structural systems, however, most currently available methods are restricted to at most a few hundred variables or a few hundred active constraints.