Shape Design Sensitivity Analysis And Optimization Using The Boundary Element Method

Author : Zhiye Zhao
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642843822

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Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method by Zhiye Zhao Pdf

This book investigates the various aspects of shape optimization of two dimensional continuum structures, including shape design sensitivity analysis, structural analysis using the boundary element method (BEM), and shape optimization implementation. The book begins by reviewing the developments of shape optimization, followed by the presentation of the mathematical programming methods for solving optimization problems. The basic theory of the BEM is presented which will be employed later on as the numerical tool to provide the structural responses and the shape design sensitivities. The key issue of shape optimization, the shape design sensitivity analy sis, is fully investigated. A general formulation of stress sensitivity using the continuum approach is presented. The difficulty of the modelling of the ad joint problem is studied, and two approaches are presented for the modelling of the adjoint problem. The first approach uses distributed loads to smooth the concentrated adjoint loads, and the second approach employs the singu larity subtraction method to remove the singular boundary displacements and tractions from the BEM equation. A novel finite difference based approach to shape design sensitivity is pre sented, which overcomes the two drawbacks of the conventional finite difference method. This approach has the advantage of being simple in concept, and eas ier implementation. A shape optimization program for two-dimensional continuum structures is developed, including structural analysis using the BEM, shape design sensitiv ity analysis, mathematical programming, and the design boundary modelling.

Author : Dimitri Beskos,Giulio Maier
Publisher : Springer
Page : 311 pages
File Size : 47,6 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709127902

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Boundary Element Advances in Solid Mechanics by Dimitri Beskos,Giulio Maier Pdf

This volume presents and discusses recent advances in boundary element methods and their solid mechanics applications. It illustrates these methods in their latest forms, developed during the last five to ten years, and demonstrates their advantages in solving a wide range of solid mechanics problems.

Author : Jan Sokolowski,Jean-Paul Zolesio
Publisher : Springer Science & Business Media
Page : 254 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642581069

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Introduction to Shape Optimization by Jan Sokolowski,Jean-Paul Zolesio Pdf

This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.

Author : Jing Zhang
Publisher : Unknown
Page : 338 pages
File Size : 52,7 Mb
Release : 1991
Category : Electronic
ISBN : CORNELL:31924064128014

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Shape Design Sensitivity Analysis by the Boundary Element Method by Jing Zhang Pdf

Author : Luigi Morino,Renzo Piva
Publisher : Springer Science & Business Media
Page : 533 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642854637

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Boundary Integral Methods by Luigi Morino,Renzo Piva Pdf

This volume contains edited papers from IABEM-90, the 1990 Symposium of the Interna tional Association for Boundary Element Methods (IABEM). As stated in the By-Laws of the Association, the purposes of IABEM are: 1. to promote the international exchange of technical information related to the devel opment and application of boundary-integral equation (BIE) formulations and their numerical implementation to problems in engineering and science, commonly referred to as the boundary element method (BEM); 2. to promote research and development activities for the advancement of boundary integral equation methods and boundary element solution algorithms; 3. to foster closer personal relationships within the BEM community of researchers. The objectives of the Symposium, in line with those of the Association, was to provide a forum where the two "souls" of the Association, i. e. , (i) mathematical foundations and numerical aspects, and (ii) engineering applications could be integrated. We believe that the first aspect has been neglected in too many of the BEM Symposia held in the past, which, with a few exceptions (notably, the IUTAM Symposia on the subject) have emphasized the practical aspects of the method. As a consequence, we have tried to give a stronger emphasis to the more theoretical issues: this is attested for instance, by the fact that the two general lectures were given by Prof. Gaetano Fichera, of the University of Rome "La Sapienza," and Prof.

Author : Kyung K. Choi,Nam-Ho Kim
Publisher : Springer Science & Business Media
Page : 457 pages
File Size : 55,5 Mb
Release : 2006-12-30
Category : Science
ISBN : 9780387271699

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Structural Sensitivity Analysis and Optimization 1 by Kyung K. Choi,Nam-Ho Kim Pdf

Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.

Author : Tadeusz Burczynski,Andrzej Osyczka
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 40,8 Mb
Release : 2006-04-11
Category : Science
ISBN : 9781402022678

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IUTAM Symposium on Evolutionary Methods in Mechanics by Tadeusz Burczynski,Andrzej Osyczka Pdf

Proceedings of the IUTAM Symposium held in Cracow, Poland, 24-27 September 2002

Author : F S Chou,T Y Leong,Nee Lam Loh,Kang Hoh Phua,K C Tan,Chien Ming Wang,W Y Yeong
Publisher : World Scientific
Page : 1264 pages
File Size : 52,9 Mb
Release : 1992-05-25
Category : Electronic
ISBN : 9789814554565

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Optimization Techniques And Applications: International Conference (In 2 Volumes) by F S Chou,T Y Leong,Nee Lam Loh,Kang Hoh Phua,K C Tan,Chien Ming Wang,W Y Yeong Pdf

With the advent of powerful computers and novel mathematical programming techniques, the multidisciplinary field of optimization has advanced to the stage that quite complicated systems can be addressed. The conference was organized to provide a platform for the exchanging of new ideas and information and for identifying areas for future research. The contributions covered both theoretical techniques and a rich variety of case studies to which optimization can be usefully applied.

Author : Cheng, A. H-D,Tadeu, A.
Publisher : WIT Press
Page : 313 pages
File Size : 53,7 Mb
Release : 2019-09-13
Category : Mathematics
ISBN : 9781784663414

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Boundary Elements and other Mesh Reduction Methods XLII by Cheng, A. H-D,Tadeu, A. Pdf

Originating from the 42nd conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), the research presented in this book consist of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.

Author : S. Kobayashi,N. Nishimura
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 48,6 Mb
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 9783662061534

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Boundary Element Methods by S. Kobayashi,N. Nishimura Pdf

The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.

Author : James H. Kane,Giulio Maier,Nobuyoshi Tosaka,S.N. Atluri
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642510274

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Advances in Boundary Element Techniques by James H. Kane,Giulio Maier,Nobuyoshi Tosaka,S.N. Atluri Pdf

The editors have published a select group of full length papers on boundary element analysis (BEA) photographed from camera ready manuscripts. The articles have been prepared by some of the most distinguished and prolific individuals in this field. More than half of these articles have been submitted by authors that participated in an International Forum on Boundary Element Methods, in Melbourne Australia, in the Summer of 1991. However, this volume is not a conference proceedings, as these authors have expanded their accounts to chapter length, and/or have tailored their expositions more toward the style employed in archival journal publications. The authors that did not participate in the International Forum have also adhered to the above mentioned philosophy. This work contains a definitive representation of the significant capabilities and applications currently available or under investigation that fall under the general category of advanced boundary element analysis. With treatments of mechanical, thermal, fluid, and electromagnetic phenomena, this book should thus be of value to graduate students, practitioners, and researchers in engineering, mathematics, and the physical sciences wishing to obtain a broader perspective or remain current in these important areas of computational simulation.

Author : Anonim
Publisher : Unknown
Page : 568 pages
File Size : 50,9 Mb
Release : 1992
Category : Aeronautics
ISBN : MINN:31951P00233088S

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Scientific and Technical Aerospace Reports by Anonim Pdf

Author : Erwin K. Bruch
Publisher : Springer Science & Business Media
Page : 125 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642845772

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The Boundary Element Method for Groundwater Flow by Erwin K. Bruch Pdf

In this book the application of the boundary element method to the solution of the Laplace equation is examined. This equation is of fundamental importance in engineering and science as it describes different types of phenomena, inclu- ding the groundwater flow applications highlighted in this book. Special subjects such as numerical integration, subdi- visionof the domain into regions and other computational aspects are discussed in detail in the first chapters. To demonstrate the accuracy and efficiency of the boundary ele- ment method, results obtained when solving the Laplace equa- tion have been compared against known analytical solutions. Other chapters deal with problems such as steady and unstea- dy flow in addition to infiltration problems. The applica- tions demonstrate that the boundary element method provides a powerful solution technique which can be effectively ap- plied to solve this type of problem.

Author : Balkrishna S. Annigeri,Kadin Tseng
Publisher : Springer Science & Business Media
Page : 596 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642842382

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Boundary Element Methods in Engineering by Balkrishna S. Annigeri,Kadin Tseng Pdf

The Boundary Element Method (BEM) has become established as an effective tool for the solutions of problems in engineering science. The salient features of the BEM have been well documented in the open literature and therefore will not be elaborated here. The BEM research has progressed rapidly, especially in the past decade and continues to evolve worldwide. This Symposium was organized to provide an international forum for presentation of current research in BEM for linear and nonlinear problems in solid and fluid mechanics and related areas. To this end, papers on the following topics were included: rotary wing aerodynamics, unsteady aerodynamics, design and optimization, elasticity, elasto dynamics and elastoplasticity, fracture mechanics, acoustics, diffusion and wave motion, thermal analysis, mathematical aspects and boundary/finite element coupled methods. A special session was devoted to parallel/vector supercomputing with emphasis on mas sive parallelism. This Symposium was sponsored by United Technologies Research Center (UTRC) , NASA Langley Research Center, and the International Association of Boundary Ele ment Methods (lAB EM) . We thank the UTRC management for their permission to host this Symposium. In particular, we thank Dr. Arthur S. Kesten and Mr. Robert E. Olson for their encouragement and support. We gratefully acknowledge the support of Dr. E. Carson Yates, Jr. of NASA Langley, Prof. Luigi Morino, Dr. Thomas A.

Author : Johan Deconinck
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642847165

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Current Distributions and Electrode Shape Changes in Electrochemical Systems by Johan Deconinck Pdf

This book reponds to the increasing demand of computer mo- delling of electrochemical processes in order to improve their speed and efficiency. The fundamental transport equa- tions in dilute solutions are given and it is established in detail under what circumstances a potential model with non- linear boundary conditions, involved by electrode reactions, can beused. Attention is directed towards the most impor- tant solution techniquesFEM, FDM and BEM and towards the solution of the non-linear system of equations (Successive Substitution, Newton-Raphson). Using the BEM, several two- dimensional and axisymmetrical examples of current density distributions are given and quantitative data, obtained in a copper electro-refining cell, are compared with calculated results. Applying Faraday's Law and the BEM, simulation of electro-deposition, electro-chemical levelling and machining are treated. Accuracy and stabilityare emphasized.