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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 Based Optimization

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Author : S. Ratnajeevan H. Hoole
language : en
Publisher: CRC Press
Release Date : 2019-07-24

Finite Elements Analysis

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Author : H. Lakshmininarayana
language : en
Publisher: Universities Press
Release Date : 2004-10

Finite Elements Analysis written by H. Lakshmininarayana and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10 with Engineering mathematics categories.

This textbook has emerged from three decades of experience gained by the author in education, research and practice. The basic concepts, mathematical models and computational algorithms supporting the Finite Element Method (FEM) are clearly and concisely developed.

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.

Practical Finite Element Analysis For Mechanical Engineers

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Author : Onkar Ravindra Patil Er. Lagan Goel
language : en
Publisher: DeepMisti Publication
Release Date : 2025-02-05

Practical Finite Element Analysis For Mechanical Engineers written by Onkar Ravindra Patil Er. Lagan Goel and has been published by DeepMisti Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-05 with Computers categories.

The finite element method (FEM) has become a cornerstone of modern engineering, offering unparalleled capabilities for analyzing and solving complex mechanical problems. From optimizing structural designs to simulating real-world conditions, FEM enables engineers to turn theoretical models into actionable insights. However, while the theoretical foundations of FEM are well-documented, its practical application often remains a challenge for many engineers. Practical Finite Element Analysis for Mechanical Engineers bridges the gap between theory and application. This book is designed for mechanical engineers who want to harness the power of FEM to solve real-world problems effectively and efficiently. It focuses not just on understanding the principles but also on applying them to design, analysis, and optimization tasks in everyday engineering practice. Through clear explanations, hands-on examples, and case studies, this book aims to demystify finite element analysis (FEA) for engineers at all levels. It addresses common challenges such as setting up models, interpreting results, avoiding errors, and balancing accuracy with computational efficiency. The focus is on providing actionable guidance that empowers readers to make sound engineering decisions, whether they are analyzing components for stress, heat transfer, vibrations, or other mechanical phenomena. Unlike theoretical texts that dive deeply into mathematical derivations, this book takes a practical approach. It equips you with the knowledge and tools to confidently apply FEM in your projects without getting lost in unnecessary complexity. Whether you’re a student eager to build a strong foundation, a practicing engineer seeking to enhance your skills, or someone transitioning into the world of simulation, this book is for you. The field of finite element analysis continues to evolve with advancements in software, computing power, and methodologies. However, the principles of sound engineering judgment, thoughtful modeling, and careful interpretation remain timeless. This book emphasizes these principles, ensuring that you not only learn how to use FEA tools but also understand their limitations and how to use them responsibly. It is my hope that this book becomes a practical companion in your engineering journey—helping you solve problems, innovate designs, and build confidence in the transformative power of finite element analysis. Let’s begin this journey into the practical world of FEM, where engineering meets innovation and precision. Authors

The Scaled Boundary Finite Element Method

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Author : Chongmin Song
language : en
Publisher: John Wiley & Sons
Release Date : 2018-09-04

The Scaled Boundary Finite Element Method written by Chongmin Song and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-04 with Science categories.

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.

The Finite Element Method For Elliptic Problems

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Author : P.G. Ciarlet
language : en
Publisher: Elsevier
Release Date : 1978-01-01

The Finite Element Method For Elliptic Problems written by P.G. Ciarlet and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.

The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author's experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on "Additional Bibliography and Comments should provide many suggestions for conducting seminars.

Smst 2003

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Author : Alan R. Pelton
language : en
Publisher: ASM International
Release Date : 2004-01-01

Smst 2003 written by Alan R. Pelton and has been published by ASM International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Technology & Engineering categories.

Automated Solution Of Differential Equations By The Finite Element Method

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Author : Anders Logg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-24

Automated Solution Of Differential Equations By The Finite Element Method written by Anders Logg 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 2012-02-24 with Computers categories.

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Structural Analysis With Finite Elements

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Author : Friedel Hartmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Structural Analysis With Finite Elements written by Friedel Hartmann 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 2013-04-17 with Science categories.

Structural Analysis with Finite Elements develops the foundations and applications of the finite element method in structural analysis in a language which is familiar to structural engineers. At the same time, it uncovers the structural mechanics behind the finite element method. This innovative text explores and explains issues such as: why finite element results are "wrong", why support reactions are relatively accurate, why stresses at midpoints are more reliable, why averaging the stresses sometimes may not help or why the equilibrium conditions are violated. An additional chapter treats the boundary element method and related software is available at www.winfem.de. Structural Analysis with Finite Elements provides a new foundation for the finite element method that enables structural engineers to address key questions that arise in computer modelling of structures with finite elements.

Finite Elements Based Optimization

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