CSVTU B.E. VII Semester Mechanical Engineering Finite Element Method Syllabus

CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY, BHILAI (C G)

Semester: B.E. VII Sem. Branch: Mechanical Engg.

Subject: Finite Element Method

UNIT – I

Introduction:

Over view of the method, range of applications, energy methods to solve problems in mechanics of solids, virtual

work principle, Rayleigh-Ritz method

UNIT – II

Basic Equations:

Basic equations from fluid mechanics, heat transfer, and solid mechanics, functional and it’s minima, variational

approach, FEM and Ritz method, element equations from variational principle, finding variational principles for the

problem, methods of weighted Gelarkin collocation techniques

UNIT – III

Formulation of FEM equations:

Elements and interpolation functions, stiffness, matrix and the equilibrium equations, formulation based on

generalised co-ordinates, convergence requirements, natural co-ordinates, numerical integration, Newton-Cotes

and Gauss-Legendre quadrature

UNIT – IV

Solving FEM equations:

Assembly of global stiffness matrix and inserting boundary conditions, solution of linear system of equation, Gauss

elimination, Gauss-Siedel, Cholesky’s decomposition, nature of the stiffness matrix

UNIT – V

FEM software and applications:

Exposure to FEM software, standard components of FEM software and their roles, application of FEM

TEXT BOOKS

1. An Introduction to the Finite Element Method – Reddy J.N. – McGraw-Hill Company

2. Introduction to Finite Element, in Engineering – Belegundu Chandraupatla – Prentice Hall of India Pvt. Ltd New-

Delhi

REFERENCE BOOKS

1. FEM – Desai and Abel

2. Finite Element Procedure – K.J. Bathe – Prentice-Hall of India Pvt. New-Delhi

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