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SYLLABUS
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23MET304 FINITE ELEMENT ANALYSIS
LECTURE NOTES
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UNIT-1.1 Engineering Applications of FEA
UNIT-1.2 Introduction to Finite Element Analysis
UNIT-1.3 – Variation formulation in FEM – Weighted residual technique
UNIT 1.4- Variation formulation in FEM – Weighted residual techniques applied to simple problems
UNIT 5 – Rayleigh¬ Ritz method
UNIT 1.6-Rayleigh Ritz method applied to simple problems
UNIT 2.1-1–D bar element-shape function using natural coordinates and generalized coordinates
UNIT 2.2-Stiffness matrix of a 1- D bar element –finite element formulation
UNIT 2.2-Stiffness matrix of a 1- D bar element –finite element formulation
UNIT 2.3-Stiffness matrix of a 1- D bar element – finite element formulation example problems
UNIT-2.4-Load vector and assembly of global equations example problems
UNIT 2.5-Temperature effects–example problems.
UNIT 2.5-Temperature effects–example problems.
UNIT-2.6 Stiffness matrix and finite element equation for a two node Truss element
UNIT 2.7-Beams element – example problems
3.1-Finite element modeling –2-D element under plane stress and plane strain conditio organized
3.2 Shape function for the Constant Strain Triangular element using natural coordinates and georganized
3.3 Strain displacement matrix of CST element [B} organized
3.4 Finite element formulation CST element-CST_Finite_Element_Formulation_Handbook organized
3.5 Finite element formulation CST element- example problems Ex 1 FEA_CST_Element_B_Matrix_Derivation
3.6 Finite element formulation axisymmetric element Axisymmetric_FEM_Stiffness_Derivation
3.7 Finite element formulation axisymmetric element – example pr4-Ex1 Axisymmetric_B_Matrix_Calculation
4.1 Basic equations of heat transfer
4.2 Shape function of 1-D heat conduction
4.3 Stiffness matrix for 1-D heat conduction with free end convection with internal heat generation
4.4 Finite element formulation – assembly of global equations and load vector
4.5 Finite element formulation- Composite wall Example problems
4.6 Finite element formulation- Fin-Pin Example problems
4.7 Higher order elements–Quadrilateral elements
4.8 Finite Element Method and Dynamic Temperature Control Modeling in Simulink
4.9 Failure analysis using FEA (CBS)
5.1 Natural co-ordinate systems – Isoparametric elements
5.2 Shape functions for a 2-D four noded
5.3 Finite element formulation Isoparametric element
5.4 Isoparametric elements example problems
5.5 Eight noded Isoparametric rectangular element using natural coordinate system
5.6 Numerical integration – Gaussian Quadrature example problems
5.7 Introduction to scripting-based custom FEA: Python-based FEA model development
5.8 Machine Learning integration in FEA
5.9 Industrial applications of FEA (CBS)
23MET304 FINITE ELEMENT ANALYSIS
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