Finite Element Method (CE-8004)
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RGPV notes CBGS Bachelor of engineering
Syllabus
UNIT 1:
Introduction to Finite element method: General applicability and description of finite
element method, comparison with other methods.
UNIT 2:
Solution of finite element method: Solution of equilibrium problems, eigen value
problems, propagation problems, computer implementation of Gaussian eliminations, Choleskis
decomposition, Jocobis and Ranga-Kutta method.
UNIT 3:
General procedure of finite element method: Descretization of the domain,
selection of shapes, types and number of elements, node numbering technique, interpolation,
polynomials, their selection and derivation in terms of global and local coordinates, convergence
requirements. Formulation of element characteristic matrices and vectors, variational approach.
UNIT 4:
Iso-parametric formulation: Lagrange and Hermite interpolation functions, isoparametric elements, numerical integration.
UNIT 5:
Static analysis: Formulation of equilibrium equation, analysis of truss, frames, plane stress and
plane strain problems.
NOTES
- Unit 1
- Unit 2
- Unit 3
- Unit 4
- Unit 5
Books Recommended
1. Weaver, Johnson, Finite element and structural analysis
2. HC Martin, Matrix structural analysis
3. CF Abel, CS Desai, Finite element methods
4. Buchanan, Finite element Analysis (Schaum Outline S), TMH
5. Krishnamurthy, Finite element analysis, TM
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