ED9221 FINITE ELEMENT METHODS IN MECHANICAL DESIGN SYLLABUS | ANNA UNIVERSITY ME CAD COMPUTER AIDED DESIGN 2nd Semester SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY M.E CAD COMPUTER AIDED DESIGN DEPARTMENT 2nd Sem SYLLABUS, 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 YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2010
ED9221 FINITE ELEMENT METHODS IN MECHANICAL DESIGN L T P C 3 1 0 4
(Common for M.E Degree Programs in Engineering Design, CAD & PDD streams)
OBJECTIVE:
At the end of this course the students would have developed 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
UNIT I GENERAL INTRODUCTION * 10
Introduction- structural element and system- assembly and analysis of a structureboundary conditions- general pattern- standard discrete system- transformation of coordinates- examples – direct physical approach to problems in elasticity- direct formulation- displacement approach – minimization of total potential- convergence criteria – discretization error- nonconforming elements and patch test- solution
process- numerical examples
UNIT II GENERALIZATION OF FINITE ELEMENT CONCEPTS AND ELEMENT SHAPE FUNCTIONS* 7
Boundary value problems – integral or weak statements- weighted residual methods- Galerkin method- virtual work as weak form of equations in solid and fluid mechanics- variational principles – establishment of natural variational principles for linear self-adjoint differential equations –standard and hierarchical elements- shape functions- rectangular elements- completeness of polynomials- Lagrange family- Serendipity family- rectangular prisms- tetrahedral elements- global and local finite element approximation- mapped elements- coordinate transformations- geometrical conformity of elements- evaluation of element matrices- transformation in , and coordinates-order of convergence- numerical integration –example
problems
UNIT III APPLICATIONS TO FIELD PROBLEMS * 9
Solution to problems in linear elasticity- plane problems in elasticity- plates and shells- solution of problems in heat-transfer and fluid mechanics- numerical examples- discussion on error estimates
UNIT IV FINITE ELEMENTS IN STRUCTURAL DYNAMICS AND VIBRATIONS ** 10
Dynamic equations- stiffness, mass and damping matrices- consistent and diagonal mass matrices- Extraction of natural frequencies and modes- Reduction of number of degrees of freedom - modal methods - component mode synthesis- harmonic analysis- response history- explicit and implicit direct integration- stability and accuracy- analysis of response spectra- example problems
UNIT V NON-LINEAR ANALYSIS *** 9
Non-linear problems in elasticity- some solution methods- plasticity: introduction, general formulation for small strains- formulation for von Mises theory- computational procedure- problems of gaps and contact- geometric non-linearity- modelling considerations
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, India Reprint ISBN:978-81-312-1118-2, published by Elsevier India Pvt. Ltd., New Delhi.
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
ED9221 FINITE ELEMENT METHODS IN MECHANICAL DESIGN L T P C 3 1 0 4
(Common for M.E Degree Programs in Engineering Design, CAD & PDD streams)
OBJECTIVE:
At the end of this course the students would have developed 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
UNIT I GENERAL INTRODUCTION * 10
Introduction- structural element and system- assembly and analysis of a structureboundary conditions- general pattern- standard discrete system- transformation of coordinates- examples – direct physical approach to problems in elasticity- direct formulation- displacement approach – minimization of total potential- convergence criteria – discretization error- nonconforming elements and patch test- solution
process- numerical examples
UNIT II GENERALIZATION OF FINITE ELEMENT CONCEPTS AND ELEMENT SHAPE FUNCTIONS* 7
Boundary value problems – integral or weak statements- weighted residual methods- Galerkin method- virtual work as weak form of equations in solid and fluid mechanics- variational principles – establishment of natural variational principles for linear self-adjoint differential equations –standard and hierarchical elements- shape functions- rectangular elements- completeness of polynomials- Lagrange family- Serendipity family- rectangular prisms- tetrahedral elements- global and local finite element approximation- mapped elements- coordinate transformations- geometrical conformity of elements- evaluation of element matrices- transformation in , and coordinates-order of convergence- numerical integration –example
problems
UNIT III APPLICATIONS TO FIELD PROBLEMS * 9
Solution to problems in linear elasticity- plane problems in elasticity- plates and shells- solution of problems in heat-transfer and fluid mechanics- numerical examples- discussion on error estimates
UNIT IV FINITE ELEMENTS IN STRUCTURAL DYNAMICS AND VIBRATIONS ** 10
Dynamic equations- stiffness, mass and damping matrices- consistent and diagonal mass matrices- Extraction of natural frequencies and modes- Reduction of number of degrees of freedom - modal methods - component mode synthesis- harmonic analysis- response history- explicit and implicit direct integration- stability and accuracy- analysis of response spectra- example problems
UNIT V NON-LINEAR ANALYSIS *** 9
Non-linear problems in elasticity- some solution methods- plasticity: introduction, general formulation for small strains- formulation for von Mises theory- computational procedure- problems of gaps and contact- geometric non-linearity- modelling considerations
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, India Reprint ISBN:978-81-312-1118-2, published by Elsevier India Pvt. Ltd., New Delhi.
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
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