essentials of the finite element method for mechanical and structural engineers

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Essentials Of The Finite Element Method

Author : Dimitrios G Pavlou
ISBN : 9780128026069
Genre : Technology & Engineering
File Size : 46. 58 MB
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Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou’s Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or just in need of a refresher on the essentials. Essentials of the Finite Element Method explains the basics of FEM, then relates these basics to a number of practical engineering applications. Specific topics covered include linear spring elements, bar elements, trusses, beams and frames, heat transfer, and structural dynamics. Throughout the text, readers are shown step-by-step detailed analyses for finite element equations development. The text also demonstrates how FEM is programmed, with examples in MATLAB, CALFEM, and ANSYS allowing readers to learn how to develop their own computer code. Suitable for everyone from first-time BSc/MSc students to practicing mechanical/structural engineers, Essentials of the Finite Element Method presents a complete reference text for the modern engineer. Provides complete and unified coverage of the fundamentals of finite element analysis Covers stiffness matrices for widely used elements in mechanical and civil engineering practice Offers detailed and integrated solutions of engineering examples and computer algorithms in ANSYS, CALFEM, and MATLAB

Non Linear Finite Element Analysis Of Solids And Structures

Author : M. A. Crisfield
ISBN : 047195649X
Genre : Mathematics
File Size : 67. 99 MB
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Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL

Finite Element Analysis

Author : M Moatamedi
ISBN : 9780429841606
Genre : Mathematics
File Size : 25. 42 MB
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Finite element analysis has become the most popular technique for studying engineering structures in detail. It is particularly useful whenever the complexity of the geometry or of the loading is such that alternative methods are inappropriate. The finite element method is based on the premise that a complex structure can be broken down into finitely many smaller pieces (elements), the behaviour of each of which is known or can be postulated. These elements might then be assembled in some sense to model the behaviour of the structure. Intuitively this premise seems reasonable, but there are many important questions that need to be answered. In order to answer them it is necessary to apply a degree of mathematical rigour to the development of finite element techniques. The approach that will be taken in this book is to develop the fundamental ideas and methodologies based on an intuitive engineering approach, and then to support them with appropriate mathematical proofs where necessary. It will rapidly become clear that the finite element method is an extremely powerful tool for the analysis of structures (and for other field problems), but that the volume of calculations required to solve all but the most trivial of them is such that the assistance of a computer is necessary. As stated above, many questions arise concerning finite element analysis. Some of these questions are associated with the fundamental mathematical formulations, some with numerical solution techniques, and others with the practical application of the method. In order to answer these questions, the engineer/analyst needs to understand both the nature and limitations of the finite element approximation and the fundamental behaviour of the structure. Misapplication of finite element analysis programs is most likely to arise when the analyst is ignorant of engineering phenomena.

Fundamentals Of Finite Element Analysis

Author : Ioannis Koutromanos
ISBN : 9781119260080
Genre : Technology & Engineering
File Size : 64. 17 MB
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An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.

Nichtlineare Finite Elemente Analyse Von Festk Rpern Und Strukturen

Author : Ren? de Borst
ISBN : 9783527678020
Genre : Technology & Engineering
File Size : 22. 12 MB
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Echte Ingenieursprobleme sind intrinsisch nichtlinear. Kennnisse der nichtlinearen Finiten-Elemente-Analyse sind f?r Maschinenbauer, Bauingenieure und Werkstofftechniker daher unabdingbar. Mit ihrer Hilfe lassen sich mechanische Festigkeitsberechnungen durchf?hren, zeit- und kostenintensive Tests bei der Produktentwicklung werden so reduziert. Didaktisch schl?ssig vom Modell und dessen theoretischer Durchdringung bis zum Algorithmus und dessen praktischer Implementierung bietet dieses Buch eine Einf?hrung in die nichtlineare Finite-Elemente-Analyse ? leicht zug?nglich, kompakt und auf die technische Ausrichtung fokussiert: - mathematische und kontinuumsmechanische Grundlagen, L?sungstechniken f?r nichtlineare Probleme in der statischen und dynamischen Analyse - erste Einblicke in geometrische Nichtlinearit?ten - Sch?digung, Plastizit?t und zeitabh?ngige Nichtlinearit?ten - Plastizit?t von Balken, B?gen und Schalen - elastische und elastoplastische Finite-Elemente-Analyse gro?er Dehnungen - Einf?hrung in moderne Diskretisierungskonzepte Hilfreich f?rs Bestehen von Pr?fungen sind die Beispiele im frei erh?ltlichen Finite-Elemente-Code auf Python?-Basis. Das dazugeh?rige Hintergrundwissen macht den User mit den M?glichkeiten und Grenzen moderner Finite-Elemente-Software vertraut. Der ideale Einstieg in die nichtlineare Finite-Elemente-Analyse f?r Studenten und Praktiker ? mit so viel Mathematik wie n?tig und so vielen realen Ingenieursproblemen wie m?glich. Mit Beispielen im Finite-Elemente-Code auf Python?-Basis unter:

Introduction To Finite Element Analysis

Author : Barna Szab?
ISBN : 9781119993483
Genre : Technology & Engineering
File Size : 22. 12 MB
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When using numerical simulation to make a decision, how can its reliability be determined? What are the common pitfalls and mistakes when assessing the trustworthiness of computed information, and how can they be avoided? Whenever numerical simulation is employed in connection with engineering decision-making, there is an implied expectation of reliability: one cannot base decisions on computed information without believing that information is reliable enough to support those decisions. Using mathematical models to show the reliability of computer-generated information is an essential part of any modelling effort. Giving users of finite element analysis (FEA) software an introduction to verification and validation procedures, this book thoroughly covers the fundamentals of assuring reliability in numerical simulation. The renowned authors systematically guide readers through the basic theory and algorithmic structure of the finite element method, using helpful examples and exercises throughout. Delivers the tools needed to have a working knowledge of the finite element method Illustrates the concepts and procedures of verification and validation Explains the process of conceptualization supported by virtual experimentation Describes the convergence characteristics of the h-, p- and hp-methods Covers the hierarchic view of mathematical models and finite element spaces Uses examples and exercises which illustrate the techniques and procedures of quality assurance Ideal for mechanical and structural engineering students, practicing engineers and applied mathematicians Includes parameter-controlled examples of solved problems in a companion website (

Essentials Of Mechanical Stress Analysis

Author : Amir Javidinejad
ISBN : 9781482258479
Genre : Science
File Size : 80. 97 MB
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Developed with stress analysts handling multidisciplinary subjects in mind, and written to provide the theories needed for problem solving and stress analysis on structural systems, Essentials of Mechanical Stress Analysis presents a variety of relevant topics—normally offered as individual course topics—that are crucial for carrying out the analysis of structures. This work explores concepts through both theory and numerical examples, and covers the analytical and numerical approaches to stress analysis, as well as isotropic, metallic, and orthotropic composite material analyses. Comprised of 13 chapters, this must-have resource: Establishes the fundamentals of material behavior required for understanding the concepts of stress analysis Defines stress and strain, and elaborates on the basic concepts exposing the relationship between the two Discusses topics related to contact stresses and pressure vessels Introduces the different failure criteria and margins of safety calculations for ductile and brittle materials Illustrates beam analysis theory under various types of loading Introduces plate analysis theory Addresses elastic instability and the buckling of columns and plates Demonstrates the concept of fatigue and stress to life-cycle calculations Explores the application of energy methods for determining deflection and stresses of structural systems Highlights the numerical methods and finite element techniques most commonly used for the calculation of stress Presents stress analysis methods for composite laminates Explains fastener and joint connection analysis theory Provides MathCAD® sample simulation codes that can be used for fast and reliable stress analysis Essentials of Mechanical Stress Analysis is a quintessential guide detailing topics related to stress and structural analysis for practicing stress analysts in mechanical, aerospace, civil, and materials engineering fields and serves as a reference for higher-level undergraduates and graduate students.

Mechanical Vibrations

Author : Michel Geradin
ISBN : 9781118900208
Genre : Science
File Size : 80. 76 MB
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Finite Element Method And Computational Structural Dynamics

ISBN : 9788120349957
Genre : Technology & Engineering
File Size : 57. 6 MB
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Primarily intended for senior undergraduate and postgraduate students of civil, mechanical and aerospace/aeronautical engineering, this text emphasises the importance of reliability in engineering computations and understanding the process of computer aided engineering. Written with a view to promote the correct use of finite element technology and to present a detailed study of a set of essential computational tools for the practice of structural dynamics, this book is a ready-reckoner for an in-depth discussion of finite element theory and estimation and control of errors in computations. It is specifically aimed at the audience with interest in vibrations and stress analysis. Several worked out examples and exercise problems have been included to describe the various aspects of finite element theory and modelling. The exercise on error analysis will be extremely helpful in grasping the essence of posteriori error analysis and mesh refinement. KEY FEATURES • Thorough discussion of numerical algorithms for reliable and efficient computation. • Ready-to-use finite element system and other scientific applications. • Tips for improving the quality of finite element solutions. • Companion DVD containing ready to use finite element applications. AUDIENCE: Senior Undergraduate and Postgraduate students of Civil, Mechanical and Aerospace/Aeronautical engineering

Finite Elemente Methoden

Author : Klaus-Jürgen Bathe
ISBN : 3540668063
Genre : Technology & Engineering
File Size : 29. 96 MB
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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. TOC:Eine Einführung in den Gebrauch von Finite-Elemente-Verfahren.-Vektoren, Matrizen und Tensoren.-Einige Grundbegriffe ingenieurwissenschaftlicher Berechnungen.-Formulierung der Methode der finiten Elemente.-Formulierung und Berechnung von isoparametrischen Finite-Elemente-Matrizen.-Nichtlineare Finite-Elemente-Berechnungen in der Festkörper- und Strukturmechanik.-Finite-Elemente-Berechnungen von Wärmeübertragungs- und Feldproblemen.-Lösung von Gleichgewichtsbeziehungen in statischen Berechnungen.-Lösung von Bewegungsgleichungen in kinetischen Berechnungen.-Vorbemerkungen zur Lösung von Eigenproblemen.-Lösungsverfahren für Eigenprobleme.-Implementierung der Finite-Elemente-Methode.

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