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Introduction To The Finite Element Method


Introduction To The Finite Element Method
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Introduction To The Finite Element Method


Introduction To The Finite Element Method
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Author : Niels Saabye Ottosen
language : en
Publisher: Pearson
Release Date : 1992

Introduction To The Finite Element Method written by Niels Saabye Ottosen and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.


Intended to be used as an introductory text for students in various fields of engineering, this book deals with the formulation of the finite element method for arbitrary differential equations. The weak formulation of differential equations is used in combination with the Galerkin method.



Introduction To Finite Element Analysis And Design


Introduction To Finite Element Analysis And Design
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Author : Nam-Ho Kim
language : en
Publisher: John Wiley & Sons
Release Date : 2018-06-15

Introduction To Finite Element Analysis And Design written by Nam-Ho Kim 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 2018-06-15 with Technology & Engineering categories.


Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online. The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs. Offers elaborate explanations of basic finite element procedures Delivers clear explanations of the capabilities and limitations of finite element analysis Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN Provides numerous examples and exercise problems Comes with a complete solution manual and results of several engineering design projects Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedical engineering, industrial engineering and engineering mechanics.



The Finite Element Method


The Finite Element Method
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Author : Kenneth Charles Rockey
language : en
Publisher: John Wiley & Sons
Release Date : 1975

The Finite Element Method written by Kenneth Charles Rockey 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 1975 with Mathematics categories.




Introduction To Finite Element Analysis


Introduction To Finite Element Analysis
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Author : S. Unnikrishnan Nair
language : en
Publisher: Springer Nature
Release Date : 2023-10-09

Introduction To Finite Element Analysis written by S. Unnikrishnan Nair and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-09 with Science categories.


This textbook covers the basic concepts and applications of finite element analysis. It is specifically aimed at introducing this advanced topic to undergraduate-level engineering students and practicing engineers in a lucid manner. It also introduces a structural and heat transfer analysis software FEASTSMT which has wide applications in civil, mechanical, nuclear and automobile engineering domains. This software has been developed by generations of scientists and engineers of Vikram Sarabhai Space Centre and Indian Space Research Organisation. Supported with many illustrative examples, the textbook covers the classical methods of estimating solutions of mathematical models. The book is written in an easy-to-understand manner. This textbook also contains numeral exercise problems to aid self-learning of the students. The solutions to these problems are demonstrated using finite element software. Furthermore, the textbook contains several tutorials and associated online resources on usage of the FEASTSMT software. Given the contents, this textbook is highly useful for the undergraduate students of various disciplines of engineering. It is also a good reference book for the practicing engineers.



Introduction To The Finite Element Method


Introduction To The Finite Element Method
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Author : Chandrakant S. Desai
language : en
Publisher:
Release Date : 2000

Introduction To The Finite Element Method written by Chandrakant S. Desai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.




An Introduction To The Finite Element Method


An Introduction To The Finite Element Method
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Author : John N. Reddy
language : en
Publisher:
Release Date : 1993

An Introduction To The Finite Element Method written by John N. Reddy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Finite element method categories.




Introduction To The Finite Element Method In Electromagnetics


Introduction To The Finite Element Method In Electromagnetics
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Author : Anastasis C. Polycarpou
language : en
Publisher: Springer Nature
Release Date : 2022-05-31

Introduction To The Finite Element Method In Electromagnetics written by Anastasis C. Polycarpou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.


This series lecture is an introduction to the finite element method with applications in electromagnetics. The finite element method is a numerical method that is used to solve boundary-value problems characterized by a partial differential equation and a set of boundary conditions. The geometrical domain of a boundary-value problem is discretized using sub-domain elements, called the finite elements, and the differential equation is applied to a single element after it is brought to a “weak” integro-differential form. A set of shape functions is used to represent the primary unknown variable in the element domain. A set of linear equations is obtained for each element in the discretized domain. A global matrix system is formed after the assembly of all elements. This lecture is divided into two chapters. Chapter 1 describes one-dimensional boundary-value problems with applications to electrostatic problems described by the Poisson's equation. The accuracy of the finite element method is evaluated for linear and higher order elements by computing the numerical error based on two different definitions. Chapter 2 describes two-dimensional boundary-value problems in the areas of electrostatics and electrodynamics (time-harmonic problems). For the second category, an absorbing boundary condition was imposed at the exterior boundary to simulate undisturbed wave propagation toward infinity. Computations of the numerical error were performed in order to evaluate the accuracy and effectiveness of the method in solving electromagnetic problems. Both chapters are accompanied by a number of Matlab codes which can be used by the reader to solve one- and two-dimensional boundary-value problems. These codes can be downloaded from the publisher's URL: www.morganclaypool.com/page/polycarpou This lecture is written primarily for the nonexpert engineer or the undergraduate or graduate student who wants to learn, for the first time, the finite element method with applications to electromagnetics. It is also targeted for research engineers who have knowledge of other numerical techniques and want to familiarize themselves with the finite element method. The lecture begins with the basics of the method, including formulating a boundary-value problem using a weighted-residual method and the Galerkin approach, and continues with imposing all three types of boundary conditions including absorbing boundary conditions. Another important topic of emphasis is the development of shape functions including those of higher order. In simple words, this series lecture provides the reader with all information necessary for someone to apply successfully the finite element method to one- and two-dimensional boundary-value problems in electromagnetics. It is suitable for newcomers in the field of finite elements in electromagnetics.



A First Introduction To The Finite Element Analysis Program Msc Marc Mentat


A First Introduction To The Finite Element Analysis Program Msc Marc Mentat
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Author : Andreas Öchsner
language : en
Publisher: Springer
Release Date : 2017-11-28

A First Introduction To The Finite Element Analysis Program Msc Marc Mentat written by Andreas Öchsner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Science categories.


This book offers a brief introduction to the general-purpose finite element program MSC Marc, focusing on providing simple examples, often single-element problems, which can easily be related to the theory that is discussed in finite element lectures. As such, it is an ideal companion book to classical introductory courses on the finite element method. MSC Marc is a specialized program for non-linear problems (implicit solver), which is distributed by the MSC Software Corporation and commonly used in academia and industry. The documentation of all finite element programs now includes a variety of step-by-step examples of differing complexity, and all software companies offer professional workshops on different topics. Since the first edition of the book, there have been several new releases of Marc/Mentat and numerous changes. This new edition incorporates the latest Marc/Mentat software developments and new examples.



Introduction To The Finite Element Method And Implementation With Matlab


Introduction To The Finite Element Method And Implementation With Matlab
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Author : Gang Li
language : en
Publisher: Cambridge University Press
Release Date : 2020-07-30

Introduction To The Finite Element Method And Implementation With Matlab written by Gang Li 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 2020-07-30 with Science categories.


An introductory textbook for engineering students, connecting finite element theory with practical application and implementation.



The Finite Element Method Theory Implementation And Applications


The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13

The Finite Element Method Theory Implementation And Applications written by Mats G. Larson 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 2013-01-13 with Computers categories.


This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​