Finite Element Analysis Notes ME2353 FEA Notes for Mech 6th Sem

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Finite Element Analysis Notes – ME2353 FEA Lecture Notes, Subject Notes for Mechanical 6th Semester

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FINITE ELEMENT ANALYSIS NOTES ANNA UNIVERSITY – ME2353 FEA NOTES

Finite Element Analysis Notes

Subjects :Finite Element Analysis (FEA)

Subject Code : ME2353

Department :  Mechanical

Semester : 6th Sem

University : Anna University, Chennai

ME235Finite Element Analysis Anna University Notes download

Content in ME2353 Notes :

ME2353 FINITE ELEMENT ANALYSIS


INTRODUCTION (Not for examination)
Solution to engineering problems – mathematical modeling – discrete and continuum
modeling – need for numerical methods of solution – relevance and scope of finite
element methods – engineering applications of FEA

UNIT I FINITE ELEMENT FORMULATION OF BOUNDARY VALUE PROBLEMS
Weighted residual methods –general weighted residual statement – weak formulation of
the weighted residual statement –comparisons – piecewise continuous trial functionsexample
of a bar finite element –functional and differential forms – principle of stationary
total potential – Rayleigh Ritz method – piecewise continuous trial functions – finite
element method – application to bar element
UNIT II ONE DIMENSIONAL FINITE ELEMENT ANALYSIS
General form of total potential for 1-D applications – generic form of finite element
equations – linear bar element – quadratic element –nodal approximation – development
of shape functions – element matrices and vectors – example problems – extension to
plane truss– development of element equations – assembly – element connectivity –
global equations – solution methods –beam element – nodal approximation – shape
functions – element matrices and vectors – assembly – solution – example problems
UNIT III TWO DIMENSIONAL FINITE ELEMENT ANALYSIS
Introduction – approximation of geometry and field variable – 3 noded triangular
elements – four noded rectangular elements – higher order elements – generalized
coordinates approach to nodal approximations – difficulties – natural coordinates and
coordinate transformations – triangular and quadrilateral elements – iso-parametric
elements – structural mechanics applications in 2-dimensions – elasticity equations –
stress strain relations – plane problems of elasticity – element equations – assembly –
need for quadrature formule – transformations to natural coordinates – Gaussian
quadrature – example problems in plane stress, plane strain and axisymmetric
applications


UNIT IV DYNAMIC ANALYSIS USING FINITE ELEMENT METHOD
Introduction – vibrational problems – equations of motion based on weak form –
longitudinal vibration of bars – transverse vibration of beams – consistent mass matrices
– element equations –solution of eigenvalue problems – vector iteration methods –
normal modes – transient vibrations – modeling of damping – mode superposition
technique – direct integration methods

UNIT V APPLICATIONS IN HEAT TRANSFER & FLUID MECHANICS
One dimensional heat transfer element – application to one-dimensional heat transfer
problems- scalar variable problems in 2-Dimensions – Applications to heat transfer in 2-
Dimension – Application to problems in fluid mechanics in 2-D

TEXT BOOK:
1. P.Seshu, “Text Book of Finite Element Analysis”, Prentice-Hall of India Pvt. Ltd. New
Delhi, 2007. ISBN-978-203-2315-5
REFERENCE BOOKS:
1. J.N.Reddy, “An Introduction to the Finite Element Method”, McGraw-Hill International
Editions(Engineering Mechanics Series), 1993. ISBN-0-07-051355-4
2. Chandrupatla & Belagundu, “Introduction to Finite Elements in Engineering”, 3rd
Edition, Prentice-Hall of India, Eastern Economy Editions. ISBN-978-81-203-2106-9
3. David V.Hutton,”Fundamentals of Finite Element Analysis”, Tata McGraw-Hill Edition
2005. ISBN-0-07-239536-2
4. Cook,Robert.D., Plesha,Michael.E & Witt,Robert.J. “Concepts and Applications of
Finite Element Analysis”,Wiley Student Edition, 2004. ISBN-10 81-265-1336-5

Anna University Finite Element Analysis Notes. download Anna university ME2353 FEA Lecture Notes , Subject Notes , Unit Wise Notes common for Mech 6th Semester by Clicking on the above link.

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