Textbook in PDF format

Preface
Mathematical Preliminaries
Introduction
Matrix Definition
Types of Matrices
Addition or Subtraction of Matrices
Multiplication of a Matrix by Scalar
Multiplication of a Matrix by Another Matrix
Rules of Matrix Multiplications
Transpose of a Matrix Multiplication
Trace of a Matrix
Differentiation of a Matrix
Integration of a Matrix
Equality of Matrices
Determinant of a Matrix
Direct Methods for Linear Systems
Gaussian Elimination Method
Cramer’s Rule
Inverse of a Matrix
Vector Analysis
Eigenvalues and Eigenvectors
Using MatLAB
Exercises
References
Introduction to the Finite Element Method
Introduction
Methods of Solving Engineering Problems
Experimental Method
Analytical Method
Numerical Method
Procedure of Finite Element Analysis (Related to Structural Problems)
Methods of Prescribing Boundary Conditions
Elimination Method
Penalty Method
Multipoint Constrains Method
Practical Applications of Finite Element Analysis
Finite Element Analysis Software Package
Finite Element Analysis for Structure
Types of Elements
Direct Method for Linear Spring
Exercises
References
Finite Element Analysis of Axially Loaded Members
Introduction
Two-Node Bar Element
Three-Node Bar Element
Bars of Constant Cross-Section Area
Bars of Varying Cross-Section Area
Stepped Bar
Exercises
References
Finite Element Analysis Trusses
Introduction
Truss
Exercises
References
Finite Element Analysis of Beams
Introduction
Simply Supported Beams
Cantilever Beams
Exercises
References
Stress Analysis of a Rectangular Plate With a Circular Hole
Introduction
A Rectangular Plate with a Circular Hole
Exercises
References
Thermal Analysis
Introduction
Procedure of Finite Element Analysis (Related to Thermal Problems)
One-Dimensional Heat Conduction
Two-Dimensional Problem with Conduction and with Convection Boundary Conditions
Exercises
References
Fluid Flow Analysis
Introduction
Procedure of Finite Element Analysis (Related to Fluid Flow Problems)
Potential Flow Over a Cylinder
Potential Flow Around an Airfoil
Exercises
References
Dynamic Analysis
Introduction
Procedure of Finite Element Analysis (Related to Dynamic Problems)
Fixed-Fixed Beam for Natural Frequency Determination
Transverse Vibrations of a Cantilever Beam
Fixed-Fixed Beam Subjected to Forcing Function
Axial Vibrations of a Bar
Bar Subjected to Forcing Function
Exercises
References
Engineering Electromagnetics Analysis
Introduction to Electromagnetics
Maxwell’s Equations and Continuity Equation
Maxwell’s Equations and Continuity Equation in Differential Form
Maxwell’s Equations and Continuity Equation in Integral Form
Divergence and Stokes Theorems
Maxwell’s Equations and Continuity Equation in Quasi-Statics Case
Maxwell’s Equations and Continuity Equation in Statics Case
Maxwell’s Equations and Continuity Equation in Source-Free Regions of Space Case
Maxwell’s Equations and Continuity Equation in Time-Harmonic Fields Case
Lorentz Force Law and Continuity Equation
Constitutive Relations
Potential Equations
Boundary Conditions
Laws for Static Fields in Unbounded Regions
Coulomb’s Law and Field Intensity
Bio-Savart’s Law and Field Intensity
Electromagnetic Energy and Power Flow
Loss in Medium
Skin Depth
Poisson’s and Laplace’s Equations
Wave Equations
Electromagnetic Analysis
One-Dimensional Elements
The Approach to FEM Standard Steps Procedure
Application to Poisson’s Equation in One-Dimension
Natural Coordinates in One Dimension
Two-Dimensional Elements
Applications of FEM to Electrostatic Problems
Automatic Mesh Generation
Rectangular Domains
Arbitrary Domains
Higher-Order Elements
Pascal Triangle
Local Coordinates
Shape Functions
Fundamental Matrices
Three-Dimensional Element
Finite Element Methods for External Problems
Infinite Element Method
Boundary Element Method
Absorbing Boundary Conditions
Modeling and Simulation of Shielded Microstrip Lines with COMSOL Multiphysics
Rectangular Cross-Section Transmission Line
Square Cross-Section Transmission Line
Rectangular Line with Diamondwise Structure
A Single-Strip Shielded Transmission Line
Multistrip Transmission Lines
Double-Strip Shielded Transmission Line
Three-Strip Line
Six-Strip Line
Eight-Strip Line
Solenoid Actuator Analysis with Ansys
Exercises
References
Appendix A: Ansys
Appendix B: MatLAB
Appendix C: Comsol Multiphysics
Appendix D: 4-COlor Figures From the Text (On the companion files)
Index