Essentials Of The Finite Element Method For Mechanical And Structural Engineers
Contents
- CHAPTER An Overview of the Finite Element Method
- What Are Finite Elements?
- Why Finite Element Method Is Very Popular?
- Main Advantages of Finite Element Method
- Main Disadvantages of Finite Element Method
- What Is Structural Matrix?
- Stiffness Matrix
- Transfer Matrix
- What Are the Steps to be Followed for Finite Element Method Analysis
- of Structure?
- Step Discretize or Model the Structure
- Step Define the Element Properties
- Step Assemble the Element Structural Matrices
- Step Apply the Loads
- Step Define Boundary Conditions
- Step Solve the System of Linear Algebraic Equations
- Step Calculate Stresses
- What About the Available Software Packages?
- Physical Principles in the Finite Element Method
- From the Element Equation to the Structure Equation
ComputerAided Learning of the Finite Element Method
- Introduction to CALFEM
- Spring elements
- Bar Elements for TwoDimensional Analysis
- Bar Elements for ThreeDimensional Analysis
- Beam Elements for TwoDimensional Analysis
- Beam Elements for ThreeDimensional Analysis
- System Functions
- Statement Functions
- Graphic Functions
- Working Environment in ANSYS
- References
- CHAPTER Mathematical Background
- Vectors
- Definition of Vector
- Scalar Product
- Vector Product
- Rotation of Coordinate System
- The Vector Differential Operator (Gradient)
- Green’s Theorem
- Coordinate Systems
