Finite Element Analysis

Theory and Practice

Author: M. J. Fagan

Publisher: Prentice Hall

ISBN: 9780582022478

Category: Finite element method.

Page: 315

View: 2881

This book is an elementary text on the finite element method. It is aimed at engineering and science undergraduates with no previous knowledge of the method, and deliberately attempts to keep the mathematics of the subject as straightforward as possible. It is assumed that the reader does understand the basic concepts and equations of elasticity and thermal heat flow, and is familiar with simple matrix algebra.

Theory and Practice of Finite Elements

Author: Alexandre Ern,Jean-Luc Guermond

Publisher: Springer Science & Business Media

ISBN: 1475743556

Category: Mathematics

Page: 526

View: 4867

This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.

The Finite Element Method: Theory, Implementation, and Applications

Author: Mats G. Larson,Fredrik Bengzon

Publisher: Springer Science & Business Media

ISBN: 3642332870

Category: Computers

Page: 395

View: 9337

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.​

Finite Element Analysis

Theory and Programming

Author: C. S. Krishnamoorthy

Publisher: Tata McGraw-Hill Education

ISBN: 9780074622100

Category: Finite element method

Page: 710

View: 7238

A presentation of detailed theory and computer programs which can be used for stress analysis. The finite element formulations are developed through easy-to-follow derivations for the analysis of plane stress or strain and axisymmetric solid, plate-bending, three dimensional solid and shell problems.

The Finite Element Method in Engineering

Author: Singiresu S. Rao

Publisher: Elsevier

ISBN: 0080470505

Category: Technology & Engineering

Page: 688

View: 1230

The Finite Element Method in Engineering is the only book to provide a broad overview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. This is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on mathematical equations. The book provides a host of real-world applications of finite element analysis, from structural design to problems in fluid mechanics and thermodynamics. It has added new sections on the assemblage of element equations, as well as an important new comparison between finite element analysis and other analytical methods showing advantages and disadvantages of each. This book will appeal to students in mechanical, structural, electrical, environmental and biomedical engineering. The only book to provide a broadoverview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods, showing the advantages and disadvantages of each.

Schaum's Outline of Finite Element Analysis

Author: George Buchanan

Publisher: McGraw Hill Professional

ISBN: 0071502882

Category: Mathematics

Page: 264

View: 5430

Confusing Textbooks? Missed Lectures? Tough Test Questions? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

Engineering Computation of Structures: The Finite Element Method

Author: Maria Augusta Neto,Ana Amaro,Luis Roseiro,José Cirne,Rogério Leal

Publisher: Springer

ISBN: 3319177109

Category: Technology & Engineering

Page: 314

View: 8224

This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems. Readers of this text are encouraged to discover the proper relationship between theory and practice, within the finite element method: Practice without theory is blind, but theory without practice is sterile. Beginning with elasticity basic concepts and the classical theories of stressed materials, the work goes on to apply the relationship between forces, displacements, stresses and strains on the process of modeling, simulating and designing engineered technical systems. Chapters discuss the finite element equations for static, eigenvalue analysis, as well as transient analyses. Students and practitioners using commercial FEM software will find this book very helpful. It uses straightforward examples to demonstrate a complete and detailed finite element procedure, emphasizing the differences between exact and numerical procedures.

Finite Elemente Analyse für Ingenieure

Grundlagen und praktische Anwendungen mit Z88Aurora

Author: Frank Rieg,Reinhard Hackenschmidt,Bettina Alber-Laukant

Publisher: Carl Hanser Verlag GmbH Co KG

ISBN: 3446443185

Category: Technology & Engineering

Page: 735

View: 3246

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Equilibrium Finite Element Formulations

Author: J. P. Moitinho de Almeida,Edward A. Maunder

Publisher: John Wiley & Sons

ISBN: 1118424158

Category: Technology & Engineering

Page: 296

View: 5868

A comprehensive treatment of the theory and practice of equilibrium finite element analysis in the context of solid and structural mechanics Equilibrium Finite Element Formulations is an up to date exposition on hybrid equilibrium finite elements, which are based on the direct approximation of the stress fields. The focus is on their derivation and on the advantages that strong forms of equilibrium can have, either when used independently or together with the more conventional displacement based elements. These elements solve two important problems of concern to computational structural mechanics: a rational basis for error estimation, which leads to bounds on quantities of interest that are vital for verification of the output and provision of outputs immediately useful to the engineer for structural design and assessment. Key features: Unique in its coverage of equilibrium – an essential reference work for those seeking solutions that are strongly equilibrated. The approach is not widely known, and should be of benefit to structural design and assessment. Thorough explanations of the formulations for: 2D and 3D continua, thick and thin bending of plates and potential problems; covering mainly linear aspects of behaviour, but also with some excursions into non-linearity. Highly relevant to the verification of numerical solutions, the basis for obtaining bounds of the errors is explained in detail. Simple illustrative examples are given, together with their physical interpretations. The most relevant issues regarding the computational implementation of this approach are presented. When strong equilibrium and finite elements are to be combined, the book is a must-have reference for postgraduate students, researchers in software development or numerical analysis, and industrial practitioners who want to keep up to date with progress in simulation tools.

The Finite Element Method in Structural Mechanics

Principles and Practice of Design of Field-consistent Elements for Structural and Solid Mechanics

Author: Gangan Prathap

Publisher: Springer Science & Business Media

ISBN: 9401733198

Category: Technology & Engineering

Page: 414

View: 6934

This book is not intended to be a text-book, delineating the full scope of finite element methodology, nor is it a comprehensive handbook of modern finite element practice for the finite element engineer. There are enough books that serve to do these and more. It is however intended as a monograph or treatise on a very specific area - the design of robust and accurate elements for applications in struc tural mechanics. It attempts to describe the epistemological conflict between the principles in finite element technology that can be described as Art and those that have a scientific basis invested in it and which can be admitted as science as the subject evolved and came to be accepted. The principles of structural mechanics as a branch of physics are well founded and have a sound scientific basis. The mathematical description of it has also a long history and is rigorously based on the infinitesimal and variational calculus. Of much more recent origin has been the branch of knowledge dealing with the numerical modelling of the beha viour of structural material. The most powerful method available to do this today is the finite element method. It is eminently suited to carry out the entire cycle of design and analysis of a structural configuration on a digital computer.

Finite Element Methods for Viscous Incompressible Flows

A Guide to Theory, Practice, and Algorithms

Author: Max D. Gunzburger

Publisher: Elsevier

ISBN: 0323139825

Category: Technology & Engineering

Page: 288

View: 3413

In this book, the author examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.

Vibration Theory and Applications with Finite Elements and Active Vibration Control

Author: Alan Palazzolo

Publisher: John Wiley & Sons

ISBN: 1118350804

Category: Technology & Engineering

Page: 976

View: 8755

A comprehensive and practical guide to vibration theory with particular emphasis on finite element modeling using real world engineering scenarios Vibration Theory and Applications with Finite Element Analysis provides extensive coverage of vibration-related topics, with particular emphasis on the three basic areas of modeling, analysis and applications. The author recognizes that a thorough understanding of mathematical and modeling techniques is essential before progressing to methods of analysis and there is a complete section covering the relevant math and programming techniques in MATLAB and MAPLE. By using a wide range of practical examples and exercises, the author demonstrates how the math relates to engineering and its applications, connecting theory to engineering practice and problem solving. Based on many years of research and teaching, this book brings together all the important topics in vibration theory, including failure models, kinematics and modeling, unstable vibrating systems, rotor dynamics and finite element methods utilizing truss, beam, plate and solid elements. It also explores in detail active vibration control, instability, bifurcation theory and paths to chaos. The book provides the modeling skills and knowledge required for modern engineering practice, plus the tools needed to identify, formulate and solve engineering problems effectively. Presents a thorough description of vibration topics and mathematical techniques from basic through to advanced levels Uses practical examples to illustrate the theory, providing an awareness of the concepts and how they apply to real life engineering situations Covers in detail topics such as 3D beams and solid elements and trusses, magnetic theory for active control and magnetic bearings and high cycle fatigue, based on the author's extensive research Includes techniques for deriving equations of motion via Newton's Laws, Lagrange, and Gibbs/Ansell approach Fully illustrated throughout, with a solution manual including MATLAB and MAPLE codes An invaluable resource for graduate students of civil, mechanical and aerospace engineering; applied mathematics.

Finite Element Modeling and Simulation with ANSYS Workbench

Author: Xiaolin Chen,Yijun Liu

Publisher: CRC Press

ISBN: 1439873852

Category: Science

Page: 411

View: 6716

Learn Basic Theory and Software Usage from a Single Volume Finite Element Modeling and Simulation with ANSYS Workbench combines finite element theory with real-world practice. Providing an introduction to finite element modeling and analysis for those with no prior experience, and written by authors with a combined experience of 30 years teaching the subject, this text presents FEM formulations integrated with relevant hands-on applications using ANSYS Workbench for finite element analysis (FEA). Incorporating the basic theories of FEA and the use of ANSYS Workbench in the modeling and simulation of engineering problems, the book also establishes the FEM method as a powerful numerical tool in engineering design and analysis. Include FEA in Your Design and Analysis of Structures Using ANSYS Workbench The authors reveal the basic concepts in FEA using simple mechanics problems as examples, and provide a clear understanding of FEA principles, element behaviors, and solution procedures. They emphasize correct usage of FEA software, and techniques in FEA modeling and simulation. The material in the book discusses one-dimensional bar and beam elements, two-dimensional plane stress and plane strain elements, plate and shell elements, and three-dimensional solid elements in the analyses of structural stresses, vibrations and dynamics, thermal responses, fluid flows, optimizations, and failures. Contained in 12 chapters, the text introduces ANSYS Workbench through detailed examples and hands-on case studies, and includes homework problems and projects using ANSYS Workbench software that are provided at the end of each chapter. Covers solid mechanics and thermal/fluid FEA Contains ANSYS Workbench geometry input files for examples and case studies Includes two chapters devoted to modeling and solution techniques, design optimization, fatigue, and buckling failure analysis Provides modeling tips in case studies to provide readers an immediate opportunity to apply the skills they learn in a problem-solving context Finite Element Modeling and Simulation with ANSYS Workbench benefits upper-level undergraduate students in all engineering disciplines, as well as researchers and practicing engineers who use the finite element method to analyze structures.

Pressure Equipment Technology

Theory and Practice

Author: W. M. Banks,David Nash

Publisher: John Wiley & Sons

ISBN: 9781860584015

Category: Science

Page: 304

View: 5641

The safe design and operation of pressure equipment and pressure systems is key to much of the infrastructure in any present-day industrial society. This book presents an amalgam of best practice from a range of international specialists, as well as highlighting new areas that require research and development. In May 2002, pressure equipment took a major step forward with the emergence of the first edition of the new European Standard EN13445. Pressure Equipment Technology; Theory and Practice not only describes and analyses the status of the new Standard (providing underpinning data) but primarily it seeks to provide new light and present new information on many of the areas where there is insufficient coverage in EN13445 or other Standards. The information is presented in a variety of ways in order to make it useful not only for the specialist but for the general reader as well. The researcher in pressure vessel technology will find here a comprehensive and up-to date picture on many important and vital topics that need to be considered. The non-expert will also find a variety of different analysis approaches that will give interest in a whole spectrum of pressure equipment and storage vessels. The papers and information included in this volume give expert guidance on a variety of important topics that must be understood if appropriate design of pressure equipment is going to be undertaken. These include, Piping and Finite Element Analysis Saddles - Plastic Collapse Loads Vessel Ends and Eccentric Loads Containment Vessels Explosive Loading Welding and Fatigue

Nichtlineare Finite-Element-Methoden

Author: Peter Wriggers

Publisher: Springer-Verlag

ISBN: 3642568653

Category: Technology & Engineering

Page: 496

View: 2941

Die Anwendung der Finite-Element-Methode auf nichtlineare technische Probleme hat in den letzten Jahren - auch wegen der stark angestiegenen Rechnerleistung - erheblich zugenommen. Bei nichtlinearen numerischen Simulationen sind verschiedene Aspekte zu berücksichtigen, die das Wissen und Verstehen der theoretischen Grundlagen, der zugehörigen Elementformulierungen sowie der Algorithmen zur Lösung der nichtlinearen Gleichungen voraussetzen. Hierzu soll dieses Buch beitragen, wobei die Bandbreite nichtlinearer Finite-Element-Analysen im Bereich der Festkörpermechanik abgedeckt wird. Das Buch wendet sich an Studierende des Ingenieurwesens im Hauptstudium, an Doktoranden aber auch an praktisch tätige Ingenieure, die Hintergrundwissen im Bereich der Finite-Element-Methode erlangen möchten.