## Wednesday, February 12, 2014

### ED7201 FINITE ELEMENT METHODS IN MECHANICAL DESIGN Syllabus | Anna University ME

Latest: TNEA 2014 Engineering Application Status, Counselling Date, Rank List

### Anna University Syllabus - Anna University ME Syllabus

ED7201 FINITE ELEMENT METHODS IN MECHANICAL DESIGN Syllabus | Anna University ME Engineering Design Second Semester Syllabus Regulation 2013. Below is the Anna University 2013 Regulation Syllabus for 2nd Semester for ME Engineering Design, Textbooks, Reference books, Exam portions, Question Bank, Previous year question papers, Model question papers, Class notes, Important 2 marks, 8 marks, 16 marks topics.
It is applicable for all students admitted in the Academic year 2013-2014 onwards for all its Affiliated institutions in Tamil Nadu.

### ED7201 FINITE ELEMENT METHODS IN MECHANICAL DESIGN L T P C 3 1 0 4

OBJECTIVES:
 To develop a thorough understanding of the basic principles of the finite element analysis
techniques with an ability to effectively use the tools of the analysis for solving practical
problems arising in engineering design
OUTCOME:
Upon understanding this course the students will be able to
 Understand how to mathematically model physical systems and solve using numerical
techniques.
 Select appropriate element and boundary conditions for various 1D, 2D Boundary
problems.
 Apply various solution techniques to solve Boundary value problems and Eigen value
problems
UNIT I FINITE ELEMENT ANALYSIS OF ONE DIMENSIONAL PROBLEMS 11+3
Historical Background – Weighted Residual Methods - Basic Concept of FEM – Variational
Formulation of B.V.P. – Ritz Method – Finite Element Modelling – Element Equations – Linear and
Quadratic Shape functions – Bar, Beam Elements – Bars and beams of arbitrary orientation -
Applications to Heat Transfer problems.
UNIT II FINITE ELEMENT ANALYSIS OF TWO DIMENSIONAL PROBLEMS 10+3
Basic Boundary Value Problems in two-dimensions – Triangular, quadrilateral, higher order
elements – Poisson’s and Laplace’s Equation – Weak Formulation – Element Matrices and
Vectors – Application to scalar variable problem
Introduction to Theory of Elasticity – Plane Stress – Plane Strain and Axisymmetric
Formulation – Principle of virtual work – Element matrices using energy approach – Examples
related to one-dimensional and two-dimensional problems.
9
UNIT III ISO-PARAMETRIC FORMULATION 8+3
Natural Co-ordinate Systems – Lagrangian Interpolation Polynomials – Isoparametric Elements –
Formulation – Numerical Integration – Gauss quadrature – one-, two- and three-dimensional
triangular elements formulation – rectangular elements – Serendipity elements - Illustrative
Examples.
UNIT IV SOLUTION TECHNIQUES 8+3
Inversion Method, Decomposition Method, Banded Solver method, Skyline procedure method,
Band width reduction Techniques, Front width Methods, Free meshing and Mapped Meshing
UNIT V SPECIAL TOPICS 8+3
Dynamic Analysis – Equation of Motion – Mass & damping matrices – Free Vibration analysis –
Natural frequencies of Longitudinal, Transverse and torsional vibration – Introduction to transient
field problems. Non-linear analysis. Use of softwares – h & p elements – special element
formulation – Solution techniques – Explicit & Implicit methods
TOTAL: 60 PERIODS
NOTE
At the post-graduate level of instruction the contact hours are to be supplemented by self study by
students. As for the examination, modelling considerations, choice of elements, boundary
conditions, loading conditions, and basic procedures only need to be emphasized without
expecting a complete numerical solution to practical problems.
REFERENCES
1. *Zienkiewicz.O.C, Taylor.R.L,& Zhu,J.Z “The Finite Element Method: Its Basis &
Fundamentals”, Butterworth-Heinemann (An imprint of Elsevier), First printed in India 2007,
2. **Cook, R.D., Malkus, D. S., Plesha,M.E., and Witt,R.J “ Concepts and Applications of Finite
Element Analysis”, Wiley Student Edition, 4th Edition, First Reprint 2007, Authorized reprint by
Wiley India(P) Ltd., New Delhi, ISBN-13 978-81-265-1336-9
3. ***Zienkiewicz.O.C, Taylor.R.L “The Finite Element Method” McGraw Hill
International Editions, Fourth Edition, 1991, Volume 2 (Chapters 7&8)
4. Reddy, J.N., “Introduction to Non-Linear Finite Element Analysis”, Oxford
Uniiversity Press, 2008
5. Rao,S.S., “The Finite Element Method in Engineering”, Butterworth-Heinemann(An imprint of
Elsevier), reprinted 2006,2007, Published by Elsevier India Pvt. Ltd., New Delhi, Indian
Reprint ISBN: 978-81-8147-885-6
6. Huebner,K.H., Dewhirst,D.L.,Smith,D.E & Byron,T.G., “The Finite Element Method for
Engineers”, Wiley Student Edition, Fourth Edition 2004,John Wiley&Sons(Asia)Pve.Ltd., ISBN:
9812-53-154-8
7. Ramamurthi, V., “Finite Element Method in Machine Design”, Narosa Publishing House,
January 2009, ISBN: 978-81-7319-965-3