Stability and Optimization of Structures

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

Stability and Optimization of Flexible Space Structures

Author: S.J. Britvec
Publisher: Springer Science & Business Media
ISBN: 9783764328641
Format: PDF, Docs
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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.

Nonlinear Analysis of Thin Walled Structures

Author: James F. Doyle
Publisher: Springer Science & Business Media
ISBN: 9780387952161
Format: PDF, ePub
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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.

IUTAM Symposium on Topological Design Optimization of Structures Machines and Materials

Author: Martin Philip Bendsoe
Publisher: Springer Science & Business Media
ISBN: 1402047525
Format: PDF, Kindle
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This volume offers edited papers presented at the IUTAM-Symposium Topological design optimization of structures, machines and materials - status and perspectives, October 2005. The papers cover the application of topological design optimization to fluid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems. Also in focus are new basic modelling paradigms, covering new geometry modelling such as level-set methods and topological derivatives.

Multiparameter Stability Theory with Mechanical Applications

Author: A P Seyranian
Publisher: World Scientific
ISBN: 9814485705
Format: PDF
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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 '

Structural Stability in Engineering Practice

Author: Lajos Kollar
Publisher: CRC Press
ISBN: 9780203017791
Format: PDF, Docs
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Structural Stability in Engineering Practice elucidates the various problems associated with attaining stability, and provides the results for practical use by the design engineer. By presenting a simple and visual description of the physical phenomena, the authors show how to determine the critical loads of various structures, such as frames, arches, building structures, trusses and sandwiches. Special emphasis is given to the post-critical behaviour - essential for assessing the safety of structures - and furthermore to the summation theories that make the solution of complicated stability problems relatively simple.

Structural Vibration

Author: C.Y. Wang
Publisher: CRC Press
ISBN: 1466576855
Format: PDF, ePub, Mobi
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Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates offers an introduction to structural vibration and highlights the importance of the natural frequencies in design. It focuses on free vibrations for analysis and design of structures and machine and presents the exact vibration solutions for strings, membranes, beams, and plates. This book emphasizes the exact solutions for free transverse vibration of strings, membranes, beams, and plates. It explains the intrinsic, fundamental, and unexpected features of the solutions in terms of known functions as well as solutions determined from exact characteristic equations. The book provides: A single-volume resource for exact solutions of vibration problems in strings, membranes, beams, and plates A reference for checking vibration frequency values and mode shapes of structural problems Governing equations and boundary conditions for vibration of structural elements Analogies of vibration problems Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates provides practicing engineers, academics, and researchers with a reference for data on a specific structural member as well as a benchmark standard for numerical or approximate analytical methods.

Introduction to Optimization of Structures

Author: N.V. Banichuk
Publisher: Springer Science & Business Media
ISBN: 1461233763
Format: PDF, Docs
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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."