Shape Optimization By The Homogenization Method

Author : Gregoire Allaire
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781468492866

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Shape Optimization by the Homogenization Method by Gregoire Allaire Pdf

This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; a detailed treatment of structural optimization by using homogenization; a complete discussion of the resulting numerical algorithms with many documented test problems. It will be of interest to researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.

Author : Grégoire Allaire,Eric Bonnetier,Gilles Francfort,François Jouve (auteur en mathématiques).)
Publisher : Unknown
Page : 0 pages
File Size : 48,6 Mb
Release : 1995
Category : Electronic
ISBN : OCLC:1373388733

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Shape Optimization by the Homogenization Method by Grégoire Allaire,Eric Bonnetier,Gilles Francfort,François Jouve (auteur en mathématiques).) Pdf

Author : Martin P. Bendsøe,Carlos A. Mota Soares
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401118040

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Topology Design of Structures by Martin P. Bendsøe,Carlos A. Mota Soares Pdf

Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992

Author : B. Kawohl
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 48,9 Mb
Release : 2000-11-16
Category : Mathematics
ISBN : 3540679715

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Optimal Shape Design by B. Kawohl Pdf

Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.

Author : Martin P. Bendsoe
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 48,8 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.

Author : Volker Schulz,Diaraf Seck
Publisher : Springer
Page : 275 pages
File Size : 48,6 Mb
Release : 2018-09-05
Category : Mathematics
ISBN : 9783319904696

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Shape Optimization, Homogenization and Optimal Control by Volker Schulz,Diaraf Seck Pdf

The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.

Author : KATSUYUKI SUZUKI
Publisher : Unknown
Page : 374 pages
File Size : 50,6 Mb
Release : 1991
Category : Electronic
ISBN : UOM:39015018966617

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SHAPE AND LAYOUT OPTIMIZATION USING HOMOGENIZATION METHOD. by KATSUYUKI SUZUKI Pdf

is constrained. The same technique is extended to cover cases where multiple load is applied within the given design domain. To determine elastic coefficients of structural material with microstructure, homogenization theory is used. A resizing rule is formulated on the basis of the optimality criteria method.

Author : G.I.N. Rozvany
Publisher : Springer
Page : 325 pages
File Size : 52,8 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709125663

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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.

Author : Behrooz Hassani,Ernest Hinton
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 42,9 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.

Author : Y.M. Xie,Grant P. Steven
Publisher : Springer
Page : 200 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447109853

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Evolutionary Structural Optimization by Y.M. Xie,Grant P. Steven Pdf

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.

Author : Hans A. Eschenauer,Claus Mattheck,Niels Olhoff
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642843976

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Engineering Optimization in Design Processes by Hans A. Eschenauer,Claus Mattheck,Niels Olhoff Pdf

These proceedings contain the texts of 37 contributions presented at the International Conference on Engineering Optimization in an Industrial Environment, which took place on 3 - 4 September 1990 at the Karlsruhe Nuclear Hesearch Center, I~H Germany. The presentations consisted of oral and poster contributions arranged in five sessions: • Shape and layout optimization • Structural optimization with advanced materials • Optimal designs with special structural and material beha viour • Sensitivity analysis - Programme systems • Optimization with stability constraints - Special problems The editors wish to express their appreciation to all authors and invited speakers for their in teresting contributions. The proceedings cover a wide range of topics in structural optimization representing the present state of the art in the fields of research and in the industrial environment as well. The editors hope that this book will also contribute towards new ideas and concepts in a world of ever decreasing natural resources and ever increasing demands for lighter and yet stronger and safer technical components. I"inally, the editors wish to thank all colleagues who helped in the organisation of the conference, especially Mrs. E. Schroder anq Dr. K.llethge, as well as Mr. A. von lIagen and Mrs. E. Haufelder, Springer Publishing Company, Heidelberg for the good cooperation and help in the publication of these proceedings.

Author : Andrej Cherkaev
Publisher : Springer Science & Business Media
Page : 561 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461211884

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Variational Methods for Structural Optimization by Andrej Cherkaev Pdf

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 : Martin Philip Bendsoe,Ole Sigmund
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 43,5 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.

Author : Martin Philip Bendsoe,Niels Olhoff,Ole Sigmund
Publisher : Springer Science & Business Media
Page : 602 pages
File Size : 51,6 Mb
Release : 2006-10-03
Category : Technology & Engineering
ISBN : 9781402047527

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IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials by Martin Philip Bendsoe,Niels Olhoff,Ole Sigmund Pdf

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.

Author : J. Haslinger,R. A. E. Makinen
Publisher : SIAM
Page : 276 pages
File Size : 53,7 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9780898715361

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Introduction to Shape Optimization by J. Haslinger,R. A. E. Makinen Pdf

Treats sizing and shape optimization in a comprehensive way, covering everything from mathematical theory through computational aspects to industrial applications.