Finite Elements Based Optimization
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Finite Elements Based Optimization
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Author : S. Ratnajeevan H. Hoole
language : en
Publisher: CRC Press
Release Date : 2019-07-24
Finite Elements Based Optimization written by S. Ratnajeevan H. Hoole and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Mathematics categories.
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
Finite Elements For Solids Fluids And Optimization
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Author : G. A. Mohr
language : en
Publisher: Oxford University Press, USA
Release Date : 1992
Finite Elements For Solids Fluids And Optimization written by G. A. Mohr and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Law categories.
The finite element method is a numerical procedure for solving the ordinary and partial differential equations that commonly arise in engineering and mathematical physics. This text offers a complete, self-contained introduction to the theory and application of finite element methods in solid mechanics, fluid mechanics, and optimization. The authors' extensive practical experience in the field allows for a text well balanced between theory and application. Techniques for formatting finite element apparatus to problems are carefully explained. Programming techniques for solving resulting FEM problems also receive comprehensive treatment. Worked examples are scattered throughout the text.
Software Systems For Structural Optimization
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Author : H.R. Hörnlein
language : en
Publisher: Birkhäuser
Release Date : 2013-03-07
Software Systems For Structural Optimization written by H.R. Hörnlein and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.
Herbert Hornlein, Klaus Schittkowski The finite element method (FEM) has been used successfully for many years to simulate and analyse mechanical structural problems. The results are accepted or rejected by means of comparison of state variables (stresses, displacements, natural frequencies etc.) and user requirements. In further analyses the design variables will be updated until the user specifications are met and the design is feasible. This is the primary aim of the design process. On this set of feasible designs, the additional requirement given by an objective function (e.g. weight, stiffness, efficiency, etc.) defines the structural optimization problem. In recent years more and more finite element based analysis systems were ex tended and offer now optimization modules. They proceed from the design model as defined for structural analysis, to perform an internal adaption of design pa rameters based on formal mathematical methods. Despite of many common features, there are significant differences in the selected optimization strategy, the current implementation and the numerical results.
Hybrid Modeling And Optimization Of Manufacturing
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Author : Ramón Quiza
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-16
Hybrid Modeling And Optimization Of Manufacturing written by Ramón Quiza and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-16 with Computers categories.
Artificial intelligence (AI) techniques and the finite element method (FEM) are both powerful computing tools, which are extensively used for modeling and optimizing manufacturing processes. The combination of these tools has resulted in a new flexible and robust approach as several recent studies have shown. This book aims to review the work already done in this field as well as to expose the new possibilities and foreseen trends. The book is expected to be useful for postgraduate students and researchers, working in the area of modeling and optimization of manufacturing processes.
Optimization Concepts And Applications In Engineering
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Author : Ashok D. Belegundu
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-28
Optimization Concepts And Applications In Engineering written by Ashok D. Belegundu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-28 with Computers categories.
In this revised and enhanced second edition of Optimization Concepts and Applications in Engineering, the already robust pedagogy has been enhanced with more detailed explanations, an increased number of solved examples and end-of-chapter problems. The source codes are now available free on multiple platforms. It is vitally important to meet or exceed previous quality and reliability standards while at the same time reducing resource consumption. This textbook addresses this critical imperative integrating theory, modeling, the development of numerical methods, and problem solving, thus preparing the student to apply optimization to real-world problems. This text covers a broad variety of optimization problems using: unconstrained, constrained, gradient, and non-gradient techniques; duality concepts; multiobjective optimization; linear, integer, geometric, and dynamic programming with applications; and finite element-based optimization. It is ideal for advanced undergraduate or graduate courses and for practising engineers in all engineering disciplines, as well as in applied mathematics.
Finite Element Approximation For Optimal Shape Material And Topology Design
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Author : J. Haslinger
language : en
Publisher: Wiley
Release Date : 1996-08-06
Finite Element Approximation For Optimal Shape Material And Topology Design written by J. Haslinger and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-06 with Mathematics categories.
This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimization of structures is addressed in the first part, using variational inequalities of elliptic type. New results, such as contact shape optimization for bodies made of non-linear material, sensitivity analysis based on isoparametric technique, and analysis of cost functionals related to contact stress distribution are included. The second part presents new concepts of shape optimization based on a fictitious domain approach. Finally, the application of the shape optimization methodology in the material design is discussed. This second edition is a fully revised and up-dated version of Finite Element Method for Optimal Shape Design. Numerous numerical examples illustrate the theoretical results, and industrial applications are given.
Optimality Criterion Methods In Structural Optimization
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Author :
language : en
Publisher:
Release Date : 1982
Optimality Criterion Methods In Structural Optimization written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Statistics categories.
Optimization algorithms based on an optimal criterion to design a minimum weight structure are presented. The algorithms are derived for the direct design variable and the reciprocal design variable, and their relationship is discussed. The use of different algorithms and their effect on the convergence behavior is illustrated with sample problems. The presentation is limited to structures which can be analyzed by the finite element method and which are subjected to the constraints on stresses, displacements, minimum and maximum sizes and system stability. (Author).
Finite Element Approximation For Optimal Shape Design
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Author : J. Haslinger
language : en
Publisher:
Release Date : 1988
Finite Element Approximation For Optimal Shape Design written by J. Haslinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.
Finite Element Model Updating Using Computational Intelligence Techniques
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Author : Tshilidzi Marwala
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-04
Finite Element Model Updating Using Computational Intelligence Techniques written by Tshilidzi Marwala and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-04 with Technology & Engineering categories.
FEM updating allows FEMs to be tuned better to reflect measured data. It can be conducted using two different statistical frameworks: the maximum likelihood approach and Bayesian approaches. This book applies both strategies to the field of structural mechanics, using vibration data. Computational intelligence techniques including: multi-layer perceptron neural networks; particle swarm and GA-based optimization methods; simulated annealing; response surface methods; and expectation maximization algorithms, are proposed to facilitate the updating process. Based on these methods, the most appropriate updated FEM is selected, a problem that traditional FEM updating has not addressed. This is found to incorporate engineering judgment into finite elements through the formulations of prior distributions. Case studies, demonstrating the principles test the viability of the approaches, and. by critically analysing the state of the art in FEM updating, this book identifies new research directions.
Finite Element Method For Hemivariational Inequalities
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Author : J. Haslinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Finite Element Method For Hemivariational Inequalities written by J. Haslinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.