essentials of the finite element method for mechanical and structural engineers

Download Book Essentials Of The Finite Element Method For Mechanical And Structural Engineers in PDF format. You can Read Online Essentials Of The Finite Element Method For Mechanical And Structural Engineers here in PDF, EPUB, Mobi or Docx formats.

Essentials Of The Finite Element Method

Author : Dimitrios G Pavlou
ISBN : 9780128026069
Genre : Technology & Engineering
File Size : 65. 25 MB
Format : PDF, Mobi
Download : 451
Read : 226

Download Now

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

Fundamentals Of Finite Element Analysis

Author : Ioannis Koutromanos
ISBN : 9781119260080
Genre : Technology & Engineering
File Size : 89. 83 MB
Format : PDF
Download : 637
Read : 1010

Download Now

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.

Non Linear Finite Element Analysis Of Solids And Structures

Author : M. A. Crisfield
ISBN : 047195649X
Genre : Mathematics
File Size : 56. 8 MB
Format : PDF, ePub, Mobi
Download : 275
Read : 259

Download Now

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

Introduction To Finite Element Analysis

Author : Barna Szab?
ISBN : 9781119993483
Genre : Technology & Engineering
File Size : 27. 7 MB
Format : PDF, ePub, Mobi
Download : 324
Read : 221

Download Now

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 (

The Finite Element Method

Author : G.R. Liu
ISBN : 9780080994413
Genre : Technology & Engineering
File Size : 29. 64 MB
Format : PDF, Mobi
Download : 200
Read : 715

Download Now

Written for practicing engineers and students alike, this book emphasizes the role of finite element modeling and simulation in the engineering design process. It provides the necessary theories and techniques of the FEM in a concise and easy-to-understand format and applies the techniques to civil, mechanical, and aerospace problems. Updated throughout for current developments in FEM and FEM software, the book also includes case studies, diagrams, illustrations, and tables to help demonstrate the material. Plentiful diagrams, illustrations and tables demonstrate the material Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality Full set of PowerPoint presentation slides that illustrate and support the book, available on a companion website

The Essentials Of Finite Element Modeling And Adaptive Refinement

Author : John O. Dow
ISBN : 9781606503348
Genre : Technology & Engineering
File Size : 82. 75 MB
Format : PDF, ePub, Mobi
Download : 397
Read : 1176

Download Now

Finite Element Analysis is a very popular, computer-based tool that uses a complex system of points called nodes to make a grid called a "mesh. " The mesh contains the material and structural properties that define how the structure will react to certain loading conditions, allowing virtual testing and analysis of stresses or changes applied to the material or component design. This groundbreaking text extends the usefulness of finite element analysis by helping both beginners and advanced users alike. It simplifies, improves, and extends both the finite element method while at the same time advancing adaptive refinement procedures. These improvements are made possible due to a change in notation that embeds knowledge of solid continuum mechanics into the equations used to formulate the stiffness matrices; this allows the modeling characteristics of individual elements to be identified by visual inspection. The ability to visually relate the equations involved in element formulation to the physical process they represent is like having an x-ray of the inner workings of the finite element method; it is similar is to the effect that Graphical User Interfaces or GUI's had on computing. As a result, students at any level of finite element study are provided with an understanding of the capabilities and limitations of this powerful analytic tool. The book presents * A more simplified approach to finite element analysis based on computational continuum mechanics * Physically interpretable notation that identifies a common basis for the finite element and the finite difference methods. * New point-wise error estimators that identify errors in terms of quantities of direct interest in solid mechanics

Applied Finite Element Analysis With Solidworks Simulation 2015

Author : Cyrus Raoufi, PhD.,P.Eng.
ISBN : 9780991949816
Genre :
File Size : 44. 86 MB
Format : PDF, ePub, Docs
Download : 923
Read : 928

Download Now

This textbook is intended to cover the fundamentals of the Finite Element Analysis (FEA) of mechanical components and structures using the SolidWorks Simulation®. It is written primary for the engineering students, engineers, technologist and practitioners who have little or no work experience with SolidWorks Simulation. It is assumed that the readers are familiar with the fundamentals of the strength of materials as offered in an introductory level course in a typical undergraduate engineering program. However, the basic theories and formulas have been included in this text as well. This textbook can be adopted for an introductory level course in Finite Element Analysis offered to students in mechanical and civil engineering and engineering technology programs. The Direct Stiffness Method is used to develop the bar, truss, beam and frame elements. Both analytical and simulation solutions are presented through examples and tutorials to ensure that readers understand the fundamentals of FEA and the simulation software. It is strongly recommended that readers always find a way to verify the FEA simulation results. In this textbook, the simulation results are verified for the truss, beam and frame structures using the analytical approaches through the Direct Stiffness Method. However, readers must consider that in many engineering problems, they have to deal with complicated geometries, loadings, and material properties which make it very difficult, if not impossible, to solve the problem using analytical methods. Chapter 1 of this textbook deals mostly with the fundamentals of the mechanical loading, 3-Dimensional and 2-Dimensional stress states, four failure theories used in the SolidWorks Simulation, basics of matrix algebra, Cramer’s rule for solving linear algebraic equations, and matrix manipulation with Microsoft Excel®. Chapter 2 of this textbook presents a general overview of SolidWorks Simulation and addresses the main tools and options required in a typical FEA study. Types of analysis available in SolidWorks Simulation and four commercially available SolidWorks Simulation packages will be introduced. The three main steps in FEA include: (i) pre-processing; (ii) processing, and (iii) post-processing and are used in the SolidWorks Simulation working environment. They will be discussed in detail and related tools available in this software will be presented. Chapter 3 of this textbook introduces several kinds of elements available in SolidWorks Simulation. The Solid Element which is used in SolidWorks Simulation to model bulky parts will be discussed in detail. The concepts of the Element Size, Aspect Ratio, and Jacobian will be discussed. Several meshing techniques available in SolidWorks Simulation such as Mesh Control, h-Adaptive, p-Adaptive, Standard Mesh with Automatic transition, and Curvature based mesh will be presented as well. Chapter 4 of this textbook presents the Direct Stiffness Method and Truss structure analysis. The stiffness matrices will be developed for the bar and truss elements. The pre-processing, processing and post-processing tools available in SolidWorks Simulation for 1D bar element, 2D truss, and 3D truss FEA simulation will be introduced. Several examples and tutorials will be presented to show how the user can verify the simulation results by comparing them to the analytical results. Chapter 5 of this textbook deals mostly with beam and frame analysis with SolidWorks Simulation. The stiffness matrix for a straight beam element will be developed and the Direct Stiffness Method will be used to analyze both statically determinate and indeterminate beams loaded with concentrated and distributed loads. This is done by defining their equivalent nodal forces and moments. The pre-processing, meshing and post-processing phases of a typical beam FEA with SolidWorks Simulation will be presented. As before, several examples and tutorials will be presented to show how the user can verify the simulation results by comparing them to the analytical results. Chapter 6 of this textbook presents the application of 2D simplified and 3D shell elements available in SolidWorks Simulation. In particular, the application of 3D shell elements for analysis of thin parts such as pressure vessels and sheet metal parts will be discussed. The related pre-processing, meshing, and post-processing tools available in SolidWorks Simulation will be presented through several tutorials, Chapter 7 of this textbook deals with assembly analysis using the contact sets. Several types of contact sets will be introduced and their application will be explored. Advanced external forces will be presented. Compatible and incompatible meshing techniques will be introduced. Beside, several techniques to simplify the simulation of assemblies will be discussed. Several examples and tutorials will be presented to show how the user can use related tools available in SolidWorks Simulation and interpret the simulation results. Chapter 8 of this textbook introduces several types of connectors available in SolidWorks Simulation and their application. It includes the Bolt, Weld, Pin, Bearing, Spring, Elastic, Link, and Rigid connectors. Both weld and bolt connectors will be discussed in detail and several examples and tutorials will be presented. Chapter 9 of this textbook introduces the Frequency Analysis tools provided in SolidWorks Simulation Professional to identify the natural frequencies and related mode shapes of parts and assemblies. A one degree of freedom mass-spring-damper will be presented to explain fundamental concepts such as natural frequency, mode shape, resonance, and damping ratio. The pre-processing, meshing, and post-processing tools available in SolidWorks Simulation for Frequency Analysis will be presented through several tutorials.

Mechanical Vibrations

Author : Michel Geradin
ISBN : 9781118900208
Genre : Science
File Size : 29. 98 MB
Format : PDF, Mobi
Download : 665
Read : 850

Download Now

Introductory Finite Element Method

Author : Chandrakant S. Desai
ISBN : 0849302439
Genre : Technology & Engineering
File Size : 79. 76 MB
Format : PDF, ePub, Mobi
Download : 102
Read : 1287

Download Now

Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level. Introductory Finite Element Method examines both structural analysis and flow (heat and fluid) applications in a presentation specifically designed for upper-level undergraduate and beginning graduate students, both within and outside of the engineering disciplines. It includes a chapter on variational calculus, clearly presented to show how the functionals for structural analysis and flow problems are formulated. The authors provide both one- and two-dimensional finite element codes and a wide range of examples and exercises. The exercises include some simpler ones to solve by hand calculation-this allows readers to understand the theory and assimilate the details of the steps in formulating computer implementations of the method. Anyone interested in learning to solve boundary value problems numerically deserves a straightforward and practical introduction to the powerful FEM. Its clear, simplified presentation and attention to both flow and structural problems make Introductory Finite Element Method the ideal gateway to using the FEM in a variety of applications.

Nonlinear Finite Element Analysis Of Solids And Structures

Author : Ren? de Borst
ISBN : 9781118376010
Genre : Technology & Engineering
File Size : 84. 76 MB
Format : PDF, Kindle
Download : 263
Read : 817

Download Now

Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature. Key features: Combines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations Extensive new material on more recent developments in computational mechanics Easily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory and algorithms, and the actual implementation. Accompanied by a website ( with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2nd Edition is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.

Top Download:

Best Books