MH1003 FINITE ELEMENT ANALYSIS 3 0 0 100
(Common to Mechanical, Automobile, Mechatronics (Elective) and Metallurgical Engineering (Elective))
• To understand the principles involved in discretization and finite element approach
• To learn to form stiffness matrices and force vectors for simple elements
1. INTRODUCTION 9
Historical background – Matrix approach – Application to the continuum – Discretisation – Matrix algebra – Gaussian elimination – Governing equations for continuum – Classical Techniques in
FEM – Weighted residual method – Ritz method
2. ONE DIMENSIONAL PROBLEMS 9
Finite element modeling – Coordinates and shape functions- Potential energy approach – Galarkin approach – Assembly of stiffness matrix and load vector – Finite element equations – Quadratic shape functions – Applications to plane trusses
3. TWO DIMENSIONAL CONTINUUM 9
Introduction – Finite element modelling – Scalar valued problem – Poisson equation –Laplace equation – Triangular elements – Element stiffness matrix – Force vector – Galarkin approach - Stress calculation – Temperature effects
4. AXISYMMETRIC CONTINUUM 9
Axisymmetric formulation – Element stiffness matrix and force vector – Galarkin approach – Body forces and temperature effects – Stress calculations – Boundary conditions – Applications to cylinders under internal or external pressures – Rotating discs
5. ISOPARAMETRIC ELEMENTS FOR TWO DIMENSIONAL CONTINUUM 9
The four node quadrilateral – Shape functions – Element stiffness matrix and force vector – Numerical integration - Stiffness integration – Stress calculations – Four node quadrilateral for axisymmetric problems.
TOTAL : 60
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