Finite element analysis for beginers
- Introduction to Finite Element Analysis
- What is FEA?
- Historical background and real-world applications
- Advantages and limitations
- The general FEA workflow
- Mathematical Foundations
- Basic linear algebra concepts
- Differential equations in engineering
- Boundary value problems
- Introduction to numerical methods
- Discretization and Meshing
- Concept of discretization
- Nodes, elements, and degrees of freedom
- 1D, 2D, and 3D elements
- Mesh generation and refinement
- Element Types and Shape Functions
- Bar, beam, truss elements
- Triangular and quadrilateral elements
- Tetrahedral and hexahedral elements
- Interpolation and shape functions
- Element Stiffness Matrix and Assembly
- Deriving the element stiffness matrix
- Assembling the global stiffness matrix
- Applying boundary conditions and constraints
- Solving the System of Equations
- Matrix solution methods (direct, iterative)
- Interpreting displacement results
- Calculating strains and stresses
- Static Structural Analysis
- Axial loading
- Truss and beam analysis
- Plane stress vs. plane strain problems
- Introduction to Advanced FEA Topics
- Heat transfer analysis
- Modal/vibration analysis
- Basics of nonlinear problems
- Using FEA Software Tools
- Overview of popular tools
- Setting up a simulation: geometry, materials, BCs, loads
- Running simulations and post-processing
- Case Studies and Mini Project
- Simple engineering examples
- End-of-course project to model and simulate a real system