Homogenization and Structural Topology Optimization

by Behrooz Hassani
Homogenization and Structural Topology Optimization
Author: Behrooz Hassani
Publisher: Springer Science & Business Media
Total Pages: 279
Release: 2012-12-06
Genre: Mathematics
ISBN: 1447108914
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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.

Homogenization and Structural Topology Optimization

by Behrooz Hassani
Homogenization and Structural Topology Optimization
Author: Behrooz Hassani
Publisher: Springer
Total Pages: 0
Release: 2011-10-28
Genre: Mathematics
ISBN: 9781447112297
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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.

Optimization of Structural Topology, Shape, and Material

by Martin P. Bendsoe
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.

Topology Design Methods for Structural Optimization

by Osvaldo M. Querin
Topology Design Methods for Structural Optimization
Author: Osvaldo M. Querin
Publisher: Butterworth-Heinemann
Total Pages: 205
Release: 2017-06-09
Genre: Technology & Engineering
ISBN: 0080999891
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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 in Structural and Continuum Mechanics

by George I. N. Rozvany
Topology Optimization in Structural and Continuum Mechanics
Author: George I. N. Rozvany
Publisher: Springer Science & Business Media
Total Pages: 471
Release: 2013-09-20
Genre: Science
ISBN: 3709116430
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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.

Topology Design of Structures

by Martin P. Bendsøe
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

Shape Optimization by the Homogenization Method

by Gregoire Allaire
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.

Topology Optimization in Structural Mechanics

by G.I.N. Rozvany
Topology Optimization in Structural Mechanics
Author: G.I.N. Rozvany
Publisher: Springer
Total Pages: 325
Release: 2014-05-04
Genre: Technology & Engineering
ISBN: 3709125669
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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.