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Shape Optimization by the Homogenization Method

Shape Optimization by the Homogenization Method
Author: Gregoire Allaire
Publisher: Springer Science & Business Media
Total Pages: 470
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1468492861

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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.


Shape Optimization by the Homogenization Method

Shape Optimization by the Homogenization Method
Author: Gregoire Allaire
Publisher: Springer Science & Business Media
Total Pages: 482
Release: 2001-10-19
Genre: Technology & Engineering
ISBN: 9780387952987

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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.


Topology Design of Structures

Topology Design of Structures
Author: Martin P. Bendsøe
Publisher: Springer Science & Business Media
Total Pages: 564
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401118043

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


Optimal Shape Design

Optimal Shape Design
Author: B. Kawohl
Publisher: Springer Science & Business Media
Total Pages: 404
Release: 2000-11-16
Genre: Mathematics
ISBN: 9783540679714

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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.


Optimization of Structural Topology, Shape, and Material

Optimization of Structural Topology, Shape, and Material
Author: Martin P. Bendsoe
Publisher: Springer Science & Business Media
Total Pages: 278
Release: 2013-03-14
Genre: Technology & Engineering
ISBN: 3662031159

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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.


Evolutionary Structural Optimization

Evolutionary Structural Optimization
Author: Y.M. Xie
Publisher: Springer
Total Pages: 200
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447109856

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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.


Engineering Optimization in Design Processes

Engineering Optimization in Design Processes
Author: Hans A. Eschenauer
Publisher: Springer Science & Business Media
Total Pages: 358
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642843972

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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.


Shape Optimization, Homogenization and Optimal Control

Shape Optimization, Homogenization and Optimal Control
Author: Volker Schulz
Publisher: Springer
Total Pages: 275
Release: 2018-09-05
Genre: Mathematics
ISBN: 3319904698

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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.


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

IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
Author: Martin Philip Bendsoe
Publisher: Springer Science & Business Media
Total Pages: 602
Release: 2006-10-03
Genre: Technology & Engineering
ISBN: 1402047525

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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.