Finite Element Analysis

Theory and Practice
Author: M. J. Fagan
Publisher: Prentice Hall
ISBN: 9780582022478
Category: Finite element method.
Page: 315
View: 9698
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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: 6892
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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.

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: 6783
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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: 7237
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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-Elemente-Methoden


Author: Klaus-Jürgen Bathe
Publisher: Springer Verlag
ISBN: 9783540668060
Category: Technology & Engineering
Page: 1253
View: 3088
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Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder.

Schaum's Outline of Finite Element Analysis


Author: George Buchanan
Publisher: McGraw Hill Professional
ISBN: 0071502882
Category: Mathematics
Page: 264
View: 8199
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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.

The Finite Element Method in Engineering


Author: Singiresu S. Rao
Publisher: Elsevier
ISBN: 0080470505
Category: Technology & Engineering
Page: 688
View: 4501
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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.

Dynamic Analysis and Earthquake Resistant Design


Author: N.A
Publisher: Taylor & Francis
ISBN: 9789054102908
Category: Science
Page: 188
View: 6107
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Numerische Behandlung partieller Differentialgleichungen


Author: Christian Großmann,Hans-Görg Roos
Publisher: Springer-Verlag
ISBN: 9783519220893
Category: Mathematics
Page: 572
View: 1788
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Mathematiker, Naturwissenschaftler und Ingenieure erhalten mit diesem Lehrbuch eine Einführung in die numerische Behandlung partieller Differentialgleichungen. Diskutiert werden die grundlegenden Verfahren - Finite Differenzen, Finite Volumen und Finite Elemente - für die wesentlichen Typen partieller Differentialgleichungen: elliptische, parabolische und hyperbolische Gleichungen. Einbezogen werden auch moderne Methoden zur Lösung der diskreten Probleme. Hinweise auf aktuelle Software sowie zahlreiche Beispiele und Übungsaufgaben runden diese Einführung ab.

Mechanical Vibrations

Theory and Practice
Author: Bhave Srikant
Publisher: Pearson Education India
ISBN: 9788131732489
Category: Electronic books
Page: 359
View: 7033
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Metal Cutting Theory and Practice


Author: David A. Stephenson,John S. Agapiou
Publisher: CRC Press
ISBN: 9780824758882
Category: Technology & Engineering
Page: 864
View: 8999
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Metal cutting applications span the entire range from mass production to mass customization to high-precision, fully customized designs. The careful balance between precision and efficiency is maintained only through intimate knowledge of the physical processes, material characteristics, and technological capabilities of the equipment and workpieces involved. The best-selling first edition of Metal Cutting Theory and Practice provided such knowledge, integrating timely research with current industry practice. This brilliant reference enters its second edition with fully updated coverage, new sections, and the inclusion of examples and problems. Supplying complete, up-to-date information on machine tools, tooling, and workholding technologies, this second edition stresses a physical understanding of machining processes including forces, temperatures, and surface finish. This provides a practical basis for troubleshooting and evaluating vendor claims. In addition to updates in all chapters, the book features three new chapters on cutting fluids, agile and high-throughput machining, and design for machining. The authors also added examples and problems for additional hands-on insight. Rounding out the treatment, an entire chapter is devoted to machining economics and optimization. Endowing you with practical knowledge and a fundamental understanding of underlying physical concepts, Metal Cutting Theory and Practice, Second Edition is a necessity for designing, evaluating, purchasing, and using machine tools.

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: 8408
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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: 3936
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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.

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: 1831
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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 Elements Analysis: Procedures in Engineering


Author: H. Lakshmininarayana
Publisher: Universities Press
ISBN: 9788173714764
Category:
Page: 263
View: 324
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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 Analysis

Thermomechanics of Solids
Author: David W. Nicholson
Publisher: CRC Press
ISBN: 9780203009512
Category: Science
Page: 296
View: 9772
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Finite element modeling has developed into one of the most important tools at an engineer's disposal, especially in applications involving nonlinearity. While engineers coping with such applications may have access to powerful computers and finite element codes, too often they lack the strong foundation in finite element analysis (FEA) that nonlinear problems require. Finite Element Analysis: Thermomechanics of Solids builds that foundation. It offers a comprehensive, unified presentation of FEA applied to coupled mechanical and thermal, static and dynamic, and linear and nonlinear responses of solids and structures. The treatment first establishes the mathematical background, then moves from the basics of continuum thermomechanics through the finite element method for linear media to nonlinear problems based on a unified set of incremental variational principles. As the use of FEA in advanced materials and applications continues to grow and with the integration of FEA with CAD, rapid prototyping, and visualization technology, it becomes increasingly important that engineers fully understand the principles and techniques of FEA. This book offers the opportunity to gain that understanding through a treatment that is concise yet comprehensive, detailed, and practical.

An Introduction to Nonlinear Finite Element Analysis

With Applications to Heat Transfer, Fluid Mechanics, and Solid Mechanics
Author: Junuthula Narasimha Reddy,J. N. Reddy
Publisher: Oxford University Press, USA
ISBN: 0199641757
Category: Science
Page: 687
View: 2772
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The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters. The book may be used as a textbook for an advanced course (after a first course) on the finite element method orthe first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

The Finite Element Method and Its Reliability


Author: Ivo Babuška,Theofanis Strouboulis
Publisher: Oxford University Press
ISBN: 9780198502760
Category: Mathematics
Page: 802
View: 2050
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The book presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Minimal prerequisites in numerical mathematics are required, and many illustrations and computational examples have been included to aid understanding.