Topology Optimization

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Topology Optimization

Martin Philip Bendsoe,Ole Sigmund
Topology Optimization Book PDF

Author : Martin Philip Bendsoe,Ole Sigmund
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 46,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662050866

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Topology Optimization by Martin Philip Bendsoe,Ole Sigmund Pdf

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.

Topology Optimization in Engineering Structure Design

Jihong Zhu,Tong Gao
Topology Optimization in Engineering Structure Design Book PDF

Author : Jihong Zhu,Tong Gao
Publisher : Elsevier
Page : 294 pages
File Size : 44,8 Mb
Release : 2016-11-08
Category : Technology & Engineering
ISBN : 9780081021194

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Topology Optimization in Engineering Structure Design by Jihong Zhu,Tong Gao Pdf

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

Optimization of Structural Topology, Shape, and Material

Martin P. Bendsoe
Optimization of Structural Topology Shape and Material Book PDF

Author : Martin P. Bendsoe
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 45,8 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662031155

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Optimization of Structural Topology, Shape, and Material by Martin P. Bendsoe Pdf

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 Optimization in Structural Mechanics

G. I. N. Rozvany
Topology Optimization in Structural Mechanics Book PDF

Author : G. I. N. Rozvany
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 52,8 Mb
Release : 1997-07-08
Category : Mathematics
ISBN : 3211829075

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Topology Optimization in Structural Mechanics by G. I. N. Rozvany Pdf

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.

Homogenization and Structural Topology Optimization

Behrooz Hassani,Ernest Hinton
Homogenization and Structural Topology Optimization Book PDF

Author : Behrooz Hassani,Ernest Hinton
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447108917

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Homogenization and Structural Topology Optimization by Behrooz Hassani,Ernest Hinton Pdf

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 Topology Optimization of Continuum Structures

Xiaodong Huang,Mike Xie
Evolutionary Topology Optimization of Continuum Structures Book PDF

Author : Xiaodong Huang,Mike Xie
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 54,8 Mb
Release : 2010-03-11
Category : Technology & Engineering
ISBN : 0470689471

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Evolutionary Topology Optimization of Continuum Structures by Xiaodong Huang,Mike Xie Pdf

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.

Topology Optimization in Structural and Continuum Mechanics

George I. N. Rozvany,Tomasz Lewinski
Topology Optimization in Structural and Continuum Mechanics Book PDF

Author : George I. N. Rozvany,Tomasz Lewinski
Publisher : Springer Science & Business Media
Page : 471 pages
File Size : 50,7 Mb
Release : 2013-09-20
Category : Science
ISBN : 9783709116432

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Topology Optimization in Structural and Continuum Mechanics by George I. N. Rozvany,Tomasz Lewinski Pdf

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.

Topology Design Methods for Structural Optimization

Osvaldo M. Querin,Mariano Victoria,Cristina Alonso Gordoa,Rubén Ansola,Pascual Martí
Topology Design Methods for Structural Optimization Book PDF

Author : Osvaldo M. Querin,Mariano Victoria,Cristina Alonso Gordoa,Rubén Ansola,Pascual Martí
Publisher : Butterworth-Heinemann
Page : 204 pages
File Size : 46,5 Mb
Release : 2017-06-09
Category : Mathematics
ISBN : 9780080999890

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Topology Design Methods for Structural Optimization by Osvaldo M. Querin,Mariano Victoria,Cristina Alonso Gordoa,Rubén Ansola,Pascual Martí Pdf

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 Design of Heterogeneous Materials and Structures

Daicong Da
Topology Optimization Design of Heterogeneous Materials and Structures Book PDF

Author : Daicong Da
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 48,8 Mb
Release : 2020-02-26
Category : Mathematics
ISBN : 9781786305589

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Topology Optimization Design of Heterogeneous Materials and Structures by Daicong Da Pdf

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.

Multiscale Structural Topology Optimization

Liang Xia
Multiscale Structural Topology Optimization Book PDF

Author : Liang Xia
Publisher : Elsevier
Page : 184 pages
File Size : 46,9 Mb
Release : 2016-04-27
Category : Technology & Engineering
ISBN : 9780081011867

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Multiscale Structural Topology Optimization by Liang Xia Pdf

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 of Structures and Composite Continua

George I. N. Rozvany,N. Olhoff
Topology Optimization of Structures and Composite Continua Book PDF

Author : George I. N. Rozvany,N. Olhoff
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 53,6 Mb
Release : 2001-01-31
Category : Mathematics
ISBN : 0792368061

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Topology Optimization of Structures and Composite Continua by George I. N. Rozvany,N. Olhoff Pdf

Topology optimization of structures and composite materials is a new and rapidly expanding field of mechanics which now plays an ever-increasing role in most branches of technology, such as aerospace, mechanical, structural, civil and ma terials engineering, with important implications for energy production as well as building and environmental sciences. It is a truly "high-tech" field which requires advanced computer facilities and computational methods, whilst involving unusual theoretical considerations in pure mathematics. Topology optimization deals with some of the most difficult problems of mechanical sciences, but it is also of consid erable practical interest because it can achieve much greater savings than conven tional (sizing or shape) optimization. Extensive research into topology optimization is being carried out in most of the developed countries of the world. The workshop addressed the state of the art of the field, bringing together re searchers from a diversity of backgrounds (mathematicians, information scientists, aerospace, automotive, mechanical, structural and civil engineers) to span the full breadth and depth of the field and to outline future developments in research and avenues of cooperation between NATO and Partner countries. The program cov ered • theoretical (mathematical) developments, • computer algorithms, software development and computational difficulties, and • practical applications in various fields of technology. A novel feature of the workshop was that, in addition to shorter discussions after each lecture, a 30 minutes panel discussion took place in each sesssion, which made this ARW highly interactive and more informal.

Topology Optimization Theory for Laminar Flow

Yongbo Deng,Yihui Wu,Zhenyu Liu
Topology Optimization Theory for Laminar Flow Book PDF

Author : Yongbo Deng,Yihui Wu,Zhenyu Liu
Publisher : Springer
Page : 250 pages
File Size : 53,6 Mb
Release : 2017-09-27
Category : Technology & Engineering
ISBN : 9789811046872

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Topology Optimization Theory for Laminar Flow by Yongbo Deng,Yihui Wu,Zhenyu Liu Pdf

This book presents the topology optimization theory for laminar flows with low and moderate Reynolds numbers, based on the density method and level-set method, respectively. The density-method-based theory offers efficient convergence, while the level-set-method-based theory can provide anaccurate mathematical expression of the structural boundary. Unsteady, body-force-driven and two-phase properties are basic characteristics of the laminar flows. The book discusses these properties, which are typical of microfluidics and one of the research hotspots in the area of Micro-Electro-Mechanical Systems (MEMS), providing an efficient inverse design approach for microfluidic structures. To demonstrate the applications of this topology optimization theory in the context of microfluidics, it also investigates inverse design for the micromixer, microvalve and micropump, which are key elements in lab-on-chip devices.

Topology Optimization of Compliant Mechanisms

Xianmin Zhang,Benliang Zhu
Topology Optimization of Compliant Mechanisms Book PDF

Author : Xianmin Zhang,Benliang Zhu
Publisher : Springer
Page : 192 pages
File Size : 55,9 Mb
Release : 2018-05-02
Category : Technology & Engineering
ISBN : 9789811304323

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Topology Optimization of Compliant Mechanisms by Xianmin Zhang,Benliang Zhu Pdf

This book covers various topics regarding the design of compliant mechanisms using topology optimization that have attracted a great deal of attention in recent decades. After comprehensively describing state-of-the-art methods for designing compliant mechanisms, it provides a new topology optimization method for finding new flexure hinges. It then presents several attempts to obtain distributed compliant mechanisms using the topology optimization method. Further, it discusses a Jacobian-based topology optimization method for compliant parallel mechanisms, and introduces readers to the topology optimization of compliant mechanisms, taking into account geometrical nonlinearity and reliability. Providing a systematic method for topology optimization of flexure hinges, which are essential for designing compliant mechanisms, the book offers a valuable resource for all readers who are interested in designing compliant mechanism-based positioning stages. In addition, the methods for solving the de facto hinges in topology optimized compliant mechanisms will benefit all engineers seeking to design micro-electro-mechanical system (MEMS) structures.

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

Yunkang Sui,Xirong Peng
Modeling Solving and Application for Topology Optimization of Continuum Structures ICM Method Based on Step Function Book PDF

Author : Yunkang Sui,Xirong Peng
Publisher : Butterworth-Heinemann
Page : 394 pages
File Size : 54,9 Mb
Release : 2017-08-29
Category : Technology & Engineering
ISBN : 9780128126561

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Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function by Yunkang Sui,Xirong Peng Pdf

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

Isogeometric Topology Optimization

Jie Gao,Liang Gao,Mi Xiao
Isogeometric Topology Optimization Book PDF

Author : Jie Gao,Liang Gao,Mi Xiao
Publisher : Springer Nature
Page : 230 pages
File Size : 49,8 Mb
Release : 2022-04-26
Category : Technology & Engineering
ISBN : 9789811917707

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Isogeometric Topology Optimization by Jie Gao,Liang Gao,Mi Xiao Pdf

This book provides a systematic description about the development of Isogeometric Topology Optimization (ITO) method using the density, and then addresses the effectiveness and efficiency of the ITO method on several design problems, including multi-material structures, stress-minimization structures, piezoelectric structures and also with the uniform manufacturability, ultra-lightweight architected materials with extreme bulk/shear moduli, auxetic metamaterials and auxetic meta-composites with the NPRs behavior in microstructures. A detailed MATLAB implementation of the ITO method with an in-house code “IgaTop” is also presented.