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Part of: Synthesis digital library of engineering and computer science.

Includes bibliographical references (page 251).

1. Introduction -- 1.1 Overview -- 1.2 Computer-aided engineering -- 1.3 Types of numerical methods -- 1.4 Finite element analysis -- 1.4.1 The need for FEA -- 1.4.2 Basic steps in FEA -- 1.5 Introduction to ANSYS -- 1.5.1 ANSYS modules -- 1.5.2 Using ANSYS -- 1.5.3 Graphical user interface (GUI) -- 1.5.4 ANSYS workbench -- 1.5.5 ANSYS workbench vs. ANSYS mechanical -- 1.6 Exercise problems --

2. Mathematical preliminaries -- 2.1 Overview -- 2.2 Matrix algebra -- 2.2.1 Matrix addition and subtraction -- 2.2.2 Scalar multiplication -- 2.2.3 Transpose of a matrix -- 2.2.4 Multiplication of vectors -- 2.2.5 Multiplication of matrices -- 2.2.6 Multiplication of a matrix with a vector -- 2.2.7 Determinant -- 2.2.8 Inverse of a matrix -- 2.3 System of linear equations -- 2.3.1 Cramer's rule -- 2.3.2 Gaussian elimination -- 2.3.3 Cholesky's decomposition -- 2.4 Eigenvalues and Eigenvectors -- 2.5 Numerical integration -- 2.6 Matrix algebra using MATLAB toolbox -- 2.7 Exercise problems --

3. Finite element analysis-basics -- 3.1 Overview -- 3.2 FEM formulations -- 3.2.1 Direct formulation -- 3.2.2 The minimum total potential energy formulation -- 3.2.3 Weighted residual formulation -- 3.3 Generic FEM procedure -- 3.4 Finite element modeling techniques -- 3.4.1 Types of finite elements -- 3.4.2 Coordinate systems -- 3.4.3 Using symmetry -- 3.4.4 Mesh refining (free meshing vs. mapped meshing) -- 3.5 Verification of FEA results -- 3.6 Exercise problems --

4. 1D finite element analysis -- 4.1 Overview -- 4.2 1D elements -- 4.2.1 Finite element matrix equations -- 4.3 Shape functions -- 4.3.1 Shape function properties -- 4.4 Stress analysis -- 4.4.1 Axial bar element -- 4.4.2 Torsional bar element -- 4.5 Heat transfer analysis -- 4.5.1 Heat transfer element -- 4.6 Fluid analysis -- 4.7 Free vibration analysis -- 4.8 Exercise problems -- 4.9 FEA activity template --

5. Truss, beam, and frame analysis -- 5.1 Overview -- 5.2 Trusses -- 5.3 Truss finite element -- 5.4 Space trusses -- 5.5 Beams -- 5.6 Beam finite element equations -- 5.7 Frame element formulation -- 5.8 Exercise problems --

6. 1D FEA using ANSYS -- 6.1 Overview -- 6.2 Elements in ANSYS for 1D analysis -- 6.3 Axial bar under tensile load -- 6.4 Truss analysis-example #1 -- 6.5 Truss analysis-example #2 -- 6.6 Space truss analysis-example -- 6.7 Beam analysis-example -- 6.8 Frame analysis-example -- 6.9 Static and modal analysis of a 3D frame -- 6.9.1 Structural analysis -- 6.9.2 Modal analysis -- 6.10 1D heat transfer analysis-example -- 6.11 Exercise problems --

7. 2D finite element analysis -- 7.1 Overview -- 7.2 Element types and shape functions -- 7.2.1 Triangular element -- 7.3 Isoparametric formulation -- 7.4 Higher-order elements -- 7.4.1 Shape functions for higher-order elements -- 7.5 Axisymmetric elements -- 7.5.1 Axisymmetric rectangular element -- 7.6 Basics of 2D stress analysis (plane solids) -- 7.6.1 Examples of 2D elements for stress analysis in ANSYS -- 7.7 Basics of 2D heat transfer analysis -- 7.7.1 Rectangular element -- 7.7.2 Examples of 2D elements for heat transfer analysis in ANSYS -- 7.8 Basics of fluid mechanics analysis -- 7.8.1 Examples of 2D elements for fluid analysis in ANSYS -- 7.8.2 ANSYS steps for 2D drug diffusion analysis -- 7.9 Exercise problems --

8. 3D finite element analysis -- 8.1 Overview -- 8.2 3D elements -- 8.3 Elements in ANSYS for 3D analysis -- 8.3.1 Solid analysis elements -- 8.3.2 Heat transfer/thermal analysis elements -- 8.3.3 Fluid analysis elements -- 8.4 3D solid modeling for import to ANSYS -- 8.5 Multi-physics problems -- 8.6 Multi-physics (fluid-solid interaction) example -- 8.6.1 Governing equations defining the physics of airway wall -- 8.6.2 Governing equations defining the physics of fluid -- 8.6.3 Input and boundary conditions -- 8.7 Exercise problems --

9. Sample project -- 9.1 Overview -- 9.2 Benefits in conducting analysis through projects -- 9.3 Sample project--analysis of wing geometries for MAV -- 9.3.1 Objective -- 9.3.2 Analysis models -- 9.3.3 Discussion -- 9.4 Example projects for analysis -- Bibliography -- Author's biography.

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Finite element analysis is a basic foundational topic that all engineering majors need to understand in order for them to be productive engineering analysts for a variety of industries. This book provides an introductory treatment of finite element analysis with an overview of the various fundamental concepts and applications. It introduces the basic concepts of the finite element method and examples of analysis using systematic methodologies based on ANSYS software. Finite element concepts involving one-dimensional problems are discussed in detail so the reader can thoroughly comprehend the concepts and progressively build upon those problems to aid in analyzing two-dimensional and three-dimensional problems. Moreover, the analysis processes are listed step-by-step for easy implementation, and an overview of two-dimensional and three-dimensional concepts and problems is also provided. In addition, multiphysics problems involving coupled analysis examples are presented to further illustrate the broad applicability of the finite element method for a variety of engineering disciplines. The book is primarily targeted toward undergraduate students majoring in civil, biomedical, mechanical, electrical, and aerospace engineering and any other fields involving aspects of engineering analysis.

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Title from PDF title page (viewed on May 16, 2017).