ME6603 Finite Element Analysis - Syllabus-Semester VI-MECH-BE-Anna University

NotesKhan ME6603 Finite Element Analysis - Syllabus-Semester VI-MECH-BE-Anna University MECH SEM VI Syllabus, MECH SYLLABUS

 

 

ME6603                                      FINITE ELEMENT ANALYSIS                                              L  T  P  C

3   0 0  3

OBJECTIVES:

• To introduce the concepts of Mathematical Modeling of Engineering Problems.
• To appreciate the use of FEM to a range of Engineering Problems.

 

UNIT I              INTRODUCTION                                                                                                            9

Historical Background – Mathematical Modeling of field problems in Engineering – Governing Equations – Discrete and continuous models – Boundary, Initial and Eigen Value problems– Weighted Residual Methods – Variational Formulation of Boundary Value Problems – RitzTechnique – Basic concepts of the Finite Element Method.

 

UNIT II            ONE-DIMENSIONAL PROBLEMS                                                                                 9

One Dimensional Second Order Equations – Discretization – Element types- Linear and Higher order Elements – Derivation of Shape functions and Stiffness matrices and force vectors- Assembly of Matrices - Solution of problems from solid mechanics and heat transfer. Longitudinal vibration frequencies and mode shapes. Fourth Order Beam Equation –Transverse deflections and Natural frequencies of beams.

 

UNIT III            TWO DIMENSIONAL SCALAR VARIABLE PROBLEMS                                            9

Second Order 2D Equations involving Scalar Variable Functions – Variational formulation –Finite Element formulation – Triangular elements – Shape functions and element matrices and vectors. Application to Field Problems - Thermal problems – Torsion of Non circular shafts –Quadrilateral elements – Higher Order Elements.

 

UNIT IV          TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS                                             9

Equations of elasticity – Plane stress, plane strain and axisymmetric problems – Body forces and temperature effects – Stress calculations - Plate and shell elements.

 

UNIT V           ISOPARAMETRIC FORMULATION                                                                               9

Natural co-ordinate systems – Isoparametric elements – Shape functions for iso parametric elements

– One and two dimensions – Serendipity elements – Numerical integration and application to plane stress  problems  -  Matrix  solution  techniques  –  Solutions  Techniques  to  Dynamic  problems  –

Introduction to Analysis Software.

 

 

OUTCOMES:

 

TOTAL : 45 PERIODS

 

• Upon completion of this course, the students can able to understand different mathematical

Techniques used in FEM analysis and use of them in Structural and thermal problem

 

TEXT BOOK:

1. Reddy. J.N., “An Introduction to the Finite Element Method”, 3rd Edition, Tata McGraw-Hill,

2005

2. Seshu, P, “Text Book of Finite Element Analysis”, Prentice-Hall of India Pvt. Ltd., New Delhi,

2007.

 

 

 

REFERENCES:

1. Rao, S.S., “The Finite Element Method in Engineering”, 3rd Edition, Butterworth Heinemann,

2004

2. Logan, D.L., “A first course in Finite Element Method”, Thomson Asia Pvt. Ltd., 2002
3. Robert  D.  Cook,  David  S.  Malkus,  Michael  E.  Plesha,  Robert  J.  Witt,  “Concepts  and

Applications of Finite Element Analysis”, 4th Edition, Wiley Student Edition, 2002.

4. Chandrupatla &  Belagundu,  “Introduction  to  Finite  Elements  in  Engineering”,  3rd  Edition, Prentice Hall College Div, 1990
5. Bhatti Asghar M, "Fundamental Finite Element Analysis and Applications", John Wiley & Sons,

2005 (Indian Reprint 2013)*