Finite Elements-based Optimization

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Author :
Publisher : CRC Press
ISBN 13 : 1351649183
Total Pages : 261 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Finite Elements-based Optimization by : S. Ratnajeevan H. Hoole

Download or read book Finite Elements-based Optimization written by S. Ratnajeevan H. Hoole and published by CRC Press. This book was released on 2019-07-24 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be a cookbook for students and researchers to understand the finite element method and optimization methods and couple them to effect shape optimization. The optimization part of the book will survey optimization methods and focus on the genetic algorithm and Powell’s method for implementation in the codes. It will contain pseudo-code for the relevant algorithms and homework problems to reinforce the theory to compile finite element programs capable of shape optimization. Features Enables readers to understand the finite element method and optimization methods and couple them to effect shape optimization Presents simple approach with algorithms for synthesis Focuses on automated computer aided design (CAD) of electromagnetic devices Provides a unitary framework involving optimization and numerical modelling Discusses how to integrate open-source mesh generators into your code Indicates how parallelization of algorithms, especially matrix solution and optimization, may be approached cheaply using the graphics processing unit (GPU) that is available on most PCs today Includes coupled problem optimization using hyperthermia as an example

The Isogeometric Boundary Element Method

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Publisher : Springer Nature
ISBN 13 : 3030233391
Total Pages : 342 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis The Isogeometric Boundary Element Method by : Gernot Beer

Download or read book The Isogeometric Boundary Element Method written by Gernot Beer and published by Springer Nature. This book was released on 2019-09-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.

The Scaled Boundary Finite Element Method

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Publisher : John Wiley & Sons
ISBN 13 : 1119388155
Total Pages : 500 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song

Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-09-04 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Shape Optimization Problems

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Publisher : Springer Nature
ISBN 13 : 9811576181
Total Pages : 662 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Shape Optimization Problems by : Hideyuki Azegami

Download or read book Shape Optimization Problems written by Hideyuki Azegami and published by Springer Nature. This book was released on 2020-09-30 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric shape optimization problems are defined as problems of finding the shapes of domains in which boundary value problems of partial differential equations are defined. In these problems, optimum shapes are obtained from an arbitrary form without any geometrical parameters previously assigned. In particular, problems in which the optimum shape is sought by making a hole in domain are called topology optimization problems. Moreover, a problem in which the optimum shape is obtained based on domain variation is referred to as a shape optimization problem of domain variation type, or a shape optimization problem in a limited sense. Software has been developed to solve these problems, and it is being used to seek practical optimum shapes. However, there are no books explaining such theories beginning with their foundations. The structure of the book is shown in the Preface. The theorems are built up using mathematical results. Therefore, a mathematical style is introduced, consisting of definitions and theorems to summarize the key points. This method of expression is advanced as provable facts are clearly shown. If something to be investigated is contained in the framework of mathematics, setting up a theory using theorems prepared by great mathematicians is thought to be an extremely effective approach. However, mathematics attempts to heighten the level of abstraction in order to understand many things in a unified fashion. This characteristic may baffle readers with an engineering background. Hence in this book, an attempt has been made to provide explanations in engineering terms, with examples from mechanics, after accurately denoting the provable facts using definitions and theorems.

Optimizing the Shape of Mechanical Elements and Structures

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Publisher : CRC Press
ISBN 13 : 9780824795559
Total Pages : 626 pages
Book Rating : 4.7/5 (955 download)

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Book Synopsis Optimizing the Shape of Mechanical Elements and Structures by : Shirley Seireg

Download or read book Optimizing the Shape of Mechanical Elements and Structures written by Shirley Seireg and published by CRC Press. This book was released on 1997-01-02 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work introduces a wide variety of practical approaches to the synthesis and optimization of shapes for mechanical elements and structures. The simplest methods for achieving the best results without mathematical complexity - especially computer solutions - are emphasized. The authors present detailed case studies of structures subjected to different types of static and dynamic loading, including load-bearing structures with arbitrary support conditions, rotating disks, layered structures, pressure vessels, elastic bodies and structural elements subjected to impulsive loading.

Computer Aided Optimal Design: Structural and Mechanical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 364283051X
Total Pages : 1018 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Computer Aided Optimal Design: Structural and Mechanical Systems by : Carlos A. Mota Soares

Download or read book Computer Aided Optimal Design: Structural and Mechanical Systems written by Carlos A. Mota Soares and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the edited version of lectures and selected papers presented at the NATO ADVANCED STUDY INSTITUTE ON COMPUTER AIDED OPTIMAL DESIGN: Structural and Mechanical Systems, held in Tr6ia, Portugal, 29th June to 11th July 1986, and organized by CEMUL -Center of Mechanics and Materials of the Technical University of Lisbon. The Institute was attended by 120 participants from 21 countries, including leading scientists and engineers from universities, research institutions and industry, and Ph.D. students. Some participants presented invited and contributed papers during the Institute and almost all participated actively in discussions on scientific aspects during the Institute. The Advanced Study Institute provided a forum for interaction among eminent scientists and engineers from different schools of thought and young reseachers. The Institute addressed the foundations and current state of the art of essential techniques related to computer aided optimal design of structural and mechanical systems, namely: Vari ational and Finite Element Methods in Optimal Design, Numerical Optimization Techniques, Design Sensitivity Analysis, Shape Optimal Design, Adaptive Finite Element Methods in Shape Optimization, CAD Technology, Software Development Techniques, Integrated Computer Aided Design and Knowledge Based Systems. Special topics of growing importance were also pre sented.

Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods

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Author :
Publisher : Springer
ISBN 13 : 3709127882
Total Pages : 493 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods by : G.I.N. Rozvany

Download or read book Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods written by G.I.N. Rozvany and published by Springer. This book was released on 2014-05-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape and layout optimization represent some of the most useful but also most difficult classes of problems in structural design, which have been investigated in detail only during the last few years. Shape optimization is concerned with the optimal shape of boundaries of continua or of interfaces between two materials in composites. Layout optimization deals with the simultaneous optimization of the topology, geometry and cross-sectional sizes of structural systems. In spite of its complextiy, layout optimization is a very rewarding task, because it results in much greater savings than the optimization of cross-sectional sizes only. Because of their important role in shape and layout optimization, the book also covers in detail new optimality criteria methods, which are capable of handling many thousand design variables and active design contraints. Shape and layout optimization is becoming an indispensable tool in the design of aeroplanes, space structures, cars, ships, building and civil engineering structures, power stations, chemical plants, artificial organs, sporting equipment, and all other solid systems where stresses and deformations play an important role.

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

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Publisher : Springer Science & Business Media
ISBN 13 : 1402047525
Total Pages : 602 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials by : Martin Philip Bendsoe

Download or read book IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials written by Martin Philip Bendsoe and published by Springer Science & Business Media. This book was released on 2006-10-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

IGA

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Publisher : John Wiley & Sons
ISBN 13 : 1119988543
Total Pages : 260 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis IGA by : Robin Bouclier

Download or read book IGA written by Robin Bouclier and published by John Wiley & Sons. This book was released on 2022-06-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, about fifteen years after its creation, substantial works are being reported in IGA, which make it very competitive in scientific computing. This book provides a contemporary vision of IGA by first discussing the current challenges in achieving a true bridge between design and analysis, then proposing original solutions that answer the issues from an analytical point of view, and, eventually, studying the shape optimization of structures, which is one of the greatest applications of IGA. To handle complex structures, a full analysis-to-optimization framework is developed, based on non-invasive coupling, parallel domain decomposition and immersed geometrical modeling. This seems to be very robust, taking on all of the attractive features of IGA (the design–analysis link, numerical efficiency and natural regularization), giving us the opportunity to explore new types of design.

Masters Theses in the Pure and Applied Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 1461524539
Total Pages : 391 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Masters Theses in the Pure and Applied Sciences by : Wade H. Shafer

Download or read book Masters Theses in the Pure and Applied Sciences written by Wade H. Shafer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Masters Theses in the Pure and Applied Sciences was first conceived, published, and disseminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS)* at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dis semination phases of the activity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the though that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volumes were handled by an international publishing house to assure improved service and broader dissemi nation. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 37 (thesis year 1992) a total of 12,549 thesis titles from 25 Canadian and 153 United States universities. We are sure that this broader base for these titles reported will greatly enhance the value of this impor tant annual reference work. While Volume 37 reports theses submitted in 1992, on occasion, certain uni versities do report theses submitted in previous years but not reported at the time.

Fast Multipole Boundary Element Method

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Publisher : Cambridge University Press
ISBN 13 : 113947944X
Total Pages : 255 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Fast Multipole Boundary Element Method by : Yijun Liu

Download or read book Fast Multipole Boundary Element Method written by Yijun Liu and published by Cambridge University Press. This book was released on 2009-08-24 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole BEM. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes. Applications in modeling nanocomposite materials, bio-materials, fuel cells, acoustic waves, and image-based simulations are demonstrated to show the potential of the fast multipole BEM. Enables students, researchers, and engineers to learn the BEM and fast multipole method from a single source.

Structural Optimization

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Publisher : Springer
ISBN 13 : 9789401071321
Total Pages : 424 pages
Book Rating : 4.0/5 (713 download)

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Book Synopsis Structural Optimization by : George I. N. Rozvany

Download or read book Structural Optimization written by George I. N. Rozvany and published by Springer. This book was released on 2011-09-20 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the IUTAM Symposium on Structural Optimization, Melbourne, Australia, February 9-13, 1988

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied mechanics reviews

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Sensitivity Analysis and Optimization 2

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Publisher : Springer Science & Business Media
ISBN 13 : 0387273069
Total Pages : 336 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Structural Sensitivity Analysis and Optimization 2 by : K. K. Choi

Download or read book Structural Sensitivity Analysis and Optimization 2 written by K. K. Choi and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimization and Computational Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540721533
Total Pages : 301 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Optimization and Computational Fluid Dynamics by : Dominique Thévenin

Download or read book Optimization and Computational Fluid Dynamics written by Dominique Thévenin and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical optimization of practical applications has been an issue of major importance for the last 10 years. It allows us to explore reliable non-trivial configurations, differing widely from all known solutions. The purpose of this book is to introduce the state-of-the-art concerning this issue and many complementary applications are presented.

Virtual Product Creation in Industry

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Publisher : Springer Nature
ISBN 13 : 3662643014
Total Pages : 676 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Virtual Product Creation in Industry by : Rainer Stark

Download or read book Virtual Product Creation in Industry written by Rainer Stark and published by Springer Nature. This book was released on 2022-01-01 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, digital technologies represent an absolute must when it comes to creating new products and factories. However, day-to-day product development and manufacturing engineering operations have still only unlocked roughly fifty percent of the "digital potential". The question is why? This book provides compelling answers and remedies to that question. Its goal is to identify the main strengths and weaknesses of today’s set-up for digital engineering working solutions, and to outline important trends and developments for the future. The book concentrates on explaining the critical basics of the individual technologies, before going into deeper analysis of the virtual solution interdependencies and guidelines on how to best align them for productive deployment in industrial and collaborative networks. Moreover, it addresses the changes needed in both, technical and management skills, in order to avoid fundamental breakdowns in running information technologies for virtual product creation in the future.