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Topology Optimization in Engineering Structure Design

Topology Optimization in Engineering Structure Design
A Book

by Jihong Zhu,Tong Gao

  • Publisher : Elsevier
  • Release : 2016-11-08
  • Pages : 294
  • ISBN : 0081021194
  • Language : En, Es, Fr & De
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Topology Optimization in Engineering Structure Design explores the recent advances and applications of topology optimization in engineering structures design, with a particular focus on aircraft and aerospace structural systems. To meet the increasingly complex engineering challenges provided by rapid developments in these industries, structural optimization techniques have developed in conjunction with them over the past two decades. The latest methods and theories to improve mechanical performances and save structural weight under static, dynamic and thermal loads are summarized and explained in detail here, in addition to potential applications of topology optimization techniques such as shape preserving design, smart structure design and additive manufacturing. These new design strategies are illustrated by a host of worked examples, which are inspired by real engineering situations, some of which have been applied to practical structure design with significant effects. Written from a forward-looking applied engineering perspective, the authors not only summarize the latest developments in this field of structure design but also provide both theoretical knowledge and a practical guideline. This book should appeal to graduate students, researchers and engineers, in detailing how to use topology optimization methods to improve product design. Combines practical applications and topology optimization methodologies Provides problems inspired by real engineering difficulties Designed to help researchers in universities acquire more engineering requirements

Topology Design Methods for Structural Optimization

Topology Design Methods for Structural Optimization
A Book

by Osvaldo M. Querin,Mariano Victoria,Cristina Alonso Gordoa,Rubén Ansola,Pascual Martí

  • Publisher : Butterworth-Heinemann
  • Release : 2017-06-09
  • Pages : 204
  • ISBN : 0080999891
  • Language : En, Es, Fr & De
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Topology Design Methods for Structural Optimization provides engineers with a basic set of design tools for the development of 2D and 3D structures subjected to single and multi-load cases and experiencing linear elastic conditions. Written by an expert team who has collaborated over the past decade to develop the methods presented, the book discusses essential theories with clear guidelines on how to use them. Case studies and worked industry examples are included throughout to illustrate practical applications of topology design tools to achieve innovative structural solutions. The text is intended for professionals who are interested in using the tools provided, but does not require in-depth theoretical knowledge. It is ideal for researchers who want to expand the methods presented to new applications, and includes a companion website with related tools to assist in further study. Provides design tools and methods for innovative structural design, focusing on the essential theory Includes case studies and real-life examples to illustrate practical application, challenges, and solutions Features accompanying software on a companion website to allow users to get up and running fast with the methods introduced Includes input from an expert team who has collaborated over the past decade to develop the methods presented

Topology Optimization

Topology Optimization
Theory, Methods, and Applications

by Martin Philip Bendsoe,Ole Sigmund

  • Publisher : Springer Science & Business Media
  • Release : 2013-04-17
  • Pages : 370
  • ISBN : 3662050862
  • Language : En, Es, Fr & De
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The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.

Multiscale Structural Topology Optimization

Multiscale Structural Topology Optimization
A Book

by Liang Xia

  • Publisher : Elsevier
  • Release : 2016-04-27
  • Pages : 184
  • ISBN : 0081011865
  • Language : En, Es, Fr & De
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Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain. Presents the first attempts towards topology optimization design of nonlinear highly heterogeneous structures Helps with simultaneous design of the topologies of both macroscopic structure and microscopic materials Helps with development of computer codes for the designs of nonlinear structures and of materials with extreme constitutive properties Focuses on the simultaneous design of both macroscopic structure and microscopic materials Includes a reduce database model from a set of numerical experiments in the space of effective strain

Topology Optimization in Structural Mechanics

Topology Optimization in Structural Mechanics
A Book

by G.I.N. Rozvany

  • Publisher : Springer Science & Business Media
  • Release : 1997-07-08
  • Pages : 322
  • ISBN : 9783211829073
  • Language : En, Es, Fr & De
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Topology optimization is a relatively new and rapidly expanding field of structural mechanics. It deals with some of the most difficult problems of mechanical sciences but it is also of considerable practical interest, because it can achieve much greater savings than mere cross-section or shape optimization.

Topology Optimization Design of Heterogeneous Materials and Structures

Topology Optimization Design of Heterogeneous Materials and Structures
A Book

by Daicong Da

  • Publisher : John Wiley & Sons
  • Release : 2020-01-09
  • Pages : 200
  • ISBN : 1786305585
  • Language : En, Es, Fr & De
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This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Respectively, these contributions take into account fractures in quasi-brittle materials, interface cracks and periodic composites. The topology optimization proposed has significantly increased the fracture resistance of the composites studied.

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function
A Book

by Yunkang Sui,Xirong Peng

  • Publisher : Butterworth-Heinemann
  • Release : 2017-08-29
  • Pages : 394
  • ISBN : 0128126566
  • Language : En, Es, Fr & De
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Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization. This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers. Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models Centers on the application of ICM method in various situations with the introduction of easily coded software Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines

Optimization of Structural and Mechanical Systems

Optimization of Structural and Mechanical Systems
A Book

by Jasbir S. Arora

  • Publisher : World Scientific
  • Release : 2007
  • Pages : 595
  • ISBN : 9812779671
  • Language : En, Es, Fr & De
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This book provides a discussion of the general impact of WTO membership on both sides of the Taiwan Strait, and addresses the political and economic impact on cross-Strait relations of common membership. The book begins with an introduction which analyzes the state of cross-Strait economic and political relations on the eve of dual accession to the WTO and briefly introduces the chapters which follow. The first chapter discusses the concessions made by both sides in their accession agreements and is followed by two chapters which describe the manner in which the Taiwan economy was reformed to achieve compliance as well as the specific, restrictive trade regime that was put into place to manage mainland trade. The next two chapters deal with the implications of that restrictive trade regime for the Taiwan economy in Asia and with the nature of the interactions between the two sides within the WTO. The final four chapters of the volume examine the impact of membership on four sectors of the economy: finance; agriculture; electronics and automobiles. There is a post-script which briefly covers developments since the chapters were completed.

Optimization of Structural Topology, Shape, and Material

Optimization of Structural Topology, Shape, and Material
A Book

by Martin P. Bendsoe

  • Publisher : Springer Science & Business Media
  • Release : 2013-03-14
  • Pages : 273
  • ISBN : 3662031159
  • Language : En, Es, Fr & De
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In the past, the possibilities of structural optimization were restricted to an optimal choice of profiles and shape. Further improvement can be obtained by selecting appropriate advanced materials and by optimizing the topology, i.e. finding the best position and arrangement of structural elements within a construction. The optimization of structural topology permits the use of optimization algorithms at a very early stage of the design process. The method presented in this book has been developed by Martin Bendsoe in cooperation with other researchers and can be considered as one of the most effective approaches to the optimization of layout and material design.

Topology Design of Structures

Topology Design of Structures
A Book

by Martin P. Bendsøe,Carlos A. Mota Soares

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 569
  • ISBN : 9401118043
  • Language : En, Es, Fr & De
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Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992

Evolutionary Topology Optimization of Continuum Structures

Evolutionary Topology Optimization of Continuum Structures
Methods and Applications

by Xiaodong Huang,Mike Xie

  • Publisher : John Wiley & Sons
  • Release : 2010-03-11
  • Pages : 240
  • ISBN : 9780470689479
  • Language : En, Es, Fr & De
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Evolutionary Topology Optimization of Continuum Structures treads new ground with a comprehensive study on the techniques and applications of evolutionary structural optimization (ESO) and its later version bi-directional ESO (BESO) methods. Since the ESO method was first introduced by Xie and Steven in 1992 and the publication of their well-known book Evolutionary Structural Optimization in 1997, there have been significant improvements in the techniques as well as important practical applications. The authors present these developments, illustrated by numerous interesting and detailed examples. They clearly demonstrate that the evolutionary structural optimization method is an effective approach capable of solving a wide range of topology optimization problems, including structures with geometrical and material nonlinearities, energy absorbing devices, periodical structures, bridges and buildings. Presents latest developments and applications in this increasingly popular & maturing optimization approach for engineers and architects; Authored by leading researchers in the field who have been working in the area of ESO and BESO developments since their conception; Includes a number of test problems for students as well as a chapter of case studies that includes several recent practical projects in which the authors have been involved; Accompanied by a website housing ESO/BESO computer programs at http://www.wiley.com/go/huang and test examples, as well as a chapter within the book giving a description and step-by-step instruction on how to use the software package BESO2D. Evolutionary Topology Optimization of Continuum Structures will appeal to researchers and graduate students working in structural design and optimization, and will also be of interest to civil and structural engineers, architects and mechanical engineers involved in creating innovative and efficient structures.

Structural Design Optimization Considering Uncertainties

Structural Design Optimization Considering Uncertainties
Structures & Infrastructures Book , Vol. 1, Series, Series Editor: Dan M. Frangopol

by Yannis Tsompanakis,Nikos D. Lagaros,Manolis Papadrakakis

  • Publisher : CRC Press
  • Release : 2008-02-07
  • Pages : 656
  • ISBN : 0203938526
  • Language : En, Es, Fr & De
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Uncertainties play a dominant role in the design and optimization of structures and infrastructures. In optimum design of structural systems due to variations of the material, manufacturing variations, variations of the external loads and modelling uncertainty, the parameters of a structure, a structural system and its environment are not given, fi

Superior Structural Design Through Automated Topology Optimization and Advanced Manufacturing

Superior Structural Design Through Automated Topology Optimization and Advanced Manufacturing
A Book

by Martin James Muir

  • Publisher : Unknown Publisher
  • Release : 2018
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
Status and Perspectives

by Martin Philip Bendsoe,Niels Olhoff,Ole Sigmund

  • Publisher : Springer Science & Business Media
  • Release : 2006-10-03
  • Pages : 616
  • ISBN : 1402047525
  • Language : En, Es, Fr & De
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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.

Performance-Based Optimization of Structures

Performance-Based Optimization of Structures
Theory and Applications

by Qing Quan Liang

  • Publisher : CRC Press
  • Release : 2004-09-30
  • Pages : 280
  • ISBN : 9780415335942
  • Language : En, Es, Fr & De
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Performance-Based Optimization of Structures introduces a method to bridge the gap between structural optimization theory and its practical application to structural engineering. The Performance-Based Optimization (PBO) method combines modern structural optimisation theory with performance based design concepts to produce a powerful technique for use in structural design. This book provides the latest PBO techniques for achieving optimal topologies and shapes of continuum structures with stress, displacement and mean compliance constraints. The emphasis is strongly placed on practical applications of automated PBO techniques to the strut-and-tie modelling of structural concrete, which includes reinforced and prestressed concrete structures. Basic concepts underlying the development of strut-and-lie models, design optimization procedure, and detailing of structural concrete are described in detail. Alternative approaches to topology optimization are also introduced. The book contains numerous practical design examples illustrating the nature of the load transfer mechanism of structures.

An Introduction to Structural Optimization

An Introduction to Structural Optimization
A Book

by Peter W. Christensen,A. Klarbring

  • Publisher : Springer Science & Business Media
  • Release : 2008-10-14
  • Pages : 214
  • ISBN : 1402086660
  • Language : En, Es, Fr & De
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This book has grown out of lectures and courses given at Linköping University, Sweden, over a period of 15 years. It gives an introductory treatment of problems and methods of structural optimization. The three basic classes of geometrical - timization problems of mechanical structures, i. e. , size, shape and topology op- mization, are treated. The focus is on concrete numerical solution methods for d- crete and (?nite element) discretized linear elastic structures. The style is explicit and practical: mathematical proofs are provided when arguments can be kept e- mentary but are otherwise only cited, while implementation details are frequently provided. Moreover, since the text has an emphasis on geometrical design problems, where the design is represented by continuously varying—frequently very many— variables, so-called ?rst order methods are central to the treatment. These methods are based on sensitivity analysis, i. e. , on establishing ?rst order derivatives for - jectives and constraints. The classical ?rst order methods that we emphasize are CONLIN and MMA, which are based on explicit, convex and separable appro- mations. It should be remarked that the classical and frequently used so-called op- mality criteria method is also of this kind. It may also be noted in this context that zero order methods such as response surface methods, surrogate models, neural n- works, genetic algorithms, etc. , essentially apply to different types of problems than the ones treated here and should be presented elsewhere.

Advances in Structural and Multidisciplinary Optimization

Advances in Structural and Multidisciplinary Optimization
Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12)

by Axel Schumacher,Thomas Vietor,Sierk Fiebig,Kai-Uwe Bletzinger,Kurt Maute

  • Publisher : Springer
  • Release : 2017-12-04
  • Pages : 2115
  • ISBN : 3319679880
  • Language : En, Es, Fr & De
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The volume includes papers from the WSCMO conference in Braunschweig 2017 presenting research of all aspects of the optimal design of structures as well as multidisciplinary design optimization where the involved disciplines deal with the analysis of solids, fluids or other field problems. Also presented are practical applications of optimization methods and the corresponding software development in all branches of technology.

Homogenization and Structural Topology Optimization

Homogenization and Structural Topology Optimization
Theory, Practice and Software

by Behrooz Hassani,Ernest Hinton

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 268
  • ISBN : 1447108914
  • Language : En, Es, Fr & De
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Structural topology optimization is a fast growing field that is finding numerous applications in automotive, aerospace and mechanical design processes. Homogenization is a mathematical theory with applications in several engineering problems that are governed by partial differential equations with rapidly oscillating coefficients Homogenization and Structural Topology Optimization brings the two concepts together and successfully bridges the previously overlooked gap between the mathematical theory and the practical implementation of the homogenization method. The book is presented in a unique self-teaching style that includes numerous illustrative examples, figures and detailed explanations of concepts. The text is divided into three parts which maintains the book's reader-friendly appeal.

Evolutionary Structural Optimization

Evolutionary Structural Optimization
A Book

by Y.M. Xie,Grant P. Steven

  • Publisher : Springer
  • Release : 2012-12-06
  • Pages : 188
  • ISBN : 1447109856
  • Language : En, Es, Fr & De
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Evolutionary Structural Optimization (ESO) is a design method based on the simple concept of gradually removing inefficient material from a structure as it is being designed. Through this method, the resulting structure will evolve towards its optimum shape. The latest techniques and results of ESO are presented here, illustrated by numerous clear and detailed examples. Sections cover the fundamental aspects of the method, the application to multiple load cases and multiple support environments, frequency optimization, stiffness and displacement constraints, buckling, jointed frame structures, shape optimization, and stress reduction. This is followed by a section describing Evolve97, a software package which will allow readers to try the ideas of ESO themselves and to solve their optimization problems. This software is provided on a computer diskette which accompanies the book.

Topology Optimization in Structural and Continuum Mechanics

Topology Optimization in Structural and Continuum Mechanics
A Book

by George I. N. Rozvany,Tomasz Lewinski

  • Publisher : Springer Science & Business Media
  • Release : 2013-09-20
  • Pages : 471
  • ISBN : 3709116430
  • Language : En, Es, Fr & De
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The book covers new developments in structural topology optimization. Basic features and limitations of Michell’s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.