Introduction to Finite Element Analysis and Design
ISBN: 9780470125397 | 047012539X
Edition: 1Format: Paperback
Publisher: Wiley
Pub. Date: 10/1/2008
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Finite Element Method (FEM) is one of the numerical methods of solving differential equations that describe many engineering problems. This new book covers the basic theory of FEM and includes appendices on each of the main FEA programs as reference. It introduces the concepts so that engineers can use the method efficiently and interpret the results properly. They'll learn about one-dimensional finite elements, including truss and beam elements, as well as two and three dimensional finite elements. Numerous examples are also included using ANS... MORE
| Preface | p. vii |
| Mathematical Preliminaries | p. 1 |
| Vectors and Matrices | p. 1 |
| Vector-Matrix Calculus | p. 3 |
| Matrix Equations | p. 8 |
| Eigen Values and Eigen Vectors | p. 8 |
| Quadratic Forms | p. 12 |
| Maxima and Minima of Functions | p. 13 |
| Exercise | p. 14 |
| Stress-Strain Analysis | p. 17 |
| Stress | p. 17 | ... MORE
| Strain | p. 30 |
| Stress-Strain Relations | p. 35 |
| Boundary Value Problems | p. 39 |
| Failure Theories | p. 43 |
| Safety Factor | p. 49 |
| Exercise | p. 52 |
| Uniaxial Bar and Truss Elements-Direct Method | p. 60 |
| Illustration of the Direct Method | p. 61 |
| Uniaxial Bar Element | p. 66 |
| Plane Truss Elements | p. 73 |
| Three-Dimensional Truss Elements (Space Truss) | p. 83 |
| Thermal Stresses | p. 87 |
| Projects | p. 94 |
| Exercise | p. 98 |
| Weighted Residual and Energy Methods for One-Dimensional Problems | p. 108 |
| Exact vs. Approximate Solution | p. 108 |
| Galerkin Method | p. 109 |
| Higher-Order Differential Equations | p. 114 |
| Finite Element Approximation | p. 117 |
| Formal Procedure | p. 124 |
| Energy Methods | p. 129 |
| Exercise | p. 138 |
| Finite Element Analysis of Beams and Frames | p. 143 |
| Review of Elementary Beam Theory | p. 143 |
| Rayleigh-Ritz Method | p. 148 |
| Finite Element Interpolation | p. 153 |
| Finite Element Equation for the Beam Element | p. 158 |
| Bending Moment and Shear Force Distribution | p. 166 |
| Plane Frame | p. 171 |
| Project | p. 175 |
| Exercise | p. 176 |
| Finite Elements for Heat Transfer Problems | p. 185 |
| Introduction | p. 185 |
| Fourier Heat Conduction Equation | p. 186 |
| Finite Element Analysis - Direct Method | p. 188 |
| Galerkin Method for Heat Conduction Problems | p. 194 |
| Convection Boundary Conditions | p. 200 |
| Exercise | p. 207 |
| Finite Elements for Plane Solids | p. 211 |
| Introduction | p. 211 |
| Types of Two-Dimensional Problems | p. 211 |
| Principle of Minimum Potential Energy | p. 214 |
| Constant Strain Triangular (CST) Element | p. 216 |
| Four-Node Rectangular Element | p. 229 |
| Four-Node Iso-Parametric Quadrilateral Element | p. 237 |
| Numerical Integration | p. 248 |
| Project | p. 253 |
| Exercise | p. 254 |
| Finite Element Procedures and Modeling | p. 261 |
| Finite Element Analysis Procedures | p. 261 |
| Finite Element Modeling Techniques | p. 281 |
| Project | p. 291 |
| Exercise | p. 292 |
| Structural Design Using Finite Elements | p. 297 |
| Introduction | p. 297 |
| Safety Margin in Design | p. 298 |
| Intuitive Design: Fully-Stressed Design | p. 301 |
| Design Parameterization | p. 304 |
| Parameter Study - Sensitivity Analysis | p. 307 |
| Structural Optimization | p. 313 |
| Project: Design Optimization of a Bracket | p. 325 |
| Exercise | p. 327 |
| Finite Element Analysis Using Pro/Engineer | p. 333 |
| Introduction | p. 333 |
| Getting Start | p. 333 |
| Plate with a Hole Analysis | p. 334 |
| Design Sensitivity Analysis/Parameter Study | p. 339 |
| Design Optimization | p. 341 |
| Finite Element Analysis Using NEi Nastran | p. 343 |
| Introduction | p. 343 |
| Getting Start | p. 343 |
| Plate with a Hole Analysis | p. 343 |
| Static Analysis of Beams | p. 350 |
| Examples in the text | p. 356 |
| Finite Element Analysis Using ANSYS | p. 363 |
| Introduction | p. 363 |
| Getting Start | p. 364 |
| Static Analysis of a Corner Bracket | p. 365 |
| Examples in the Text | p. 381 |
| Finite Element Analysis Using MATLAB Toolbox | p. 391 |
| Finite Element Analysis of Bar and Truss | p. 391 |
| Finite Element Analysis Using Frame Elements | p. 403 |
| Finite Element Analysis Using Plane Solid Elements | p. 408 |
| Index | p. 417 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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