AU3033 Finite Element Analysis Syllabus:
AU3033 Finite Element Analysis Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
The objective of this course is to make the students to understand and perform engineering analysis of structural members using FEM.
UNIT I INTRODUCTION
Engineering design analysis. Basic concepts of FEM. Steps in FEM. Advantages and limitations of FEM. Handling of simultaneous equations – Gaussian elimination method – Gaussian Jordan method. Numerical integration. Commercial FEM packages.
UNIT II DISCRETE ELEMENTS
Spring Element. Bar elements, uniform section, mechanical and thermal loading, varying section, truss analysis. Beam element ‐ problems for various loadings and boundary conditions – Use of local and natural coordinates. Computer codes for discrete elements.
UNIT III CONTINUUM ELEMENTS
Plane stress, Plane strain and axisymmetric problems, constant and linear strain, triangular elements, stiffness matrix, axisymmetric load vector. Computer codes for CST and LST elements.
UNIT IV ISOPARAMETRIC ELEMENTS
Definitions, Shape function for 4, 8 and 9 nodal quadrilateral elements, Stiffness matrix and consistent load vector.
UNIT V MODAL ANALYSIS
Equations of motion for vibration problems. Consistent and lumped mass matrices. Formulation of element mass matrices. Free vibration problem formulation. Case study – FEM in structural analysis, heat transfer and fluid flow problems with respect to Automotive industries.
TOTAL: 45 PERIODS
COURSE OUTCOMES:
At the end of the course, the student will be able to
• Understand and perform engineering analysis of structural members using FEM.
• Demonstrate the ability to evaluate and interpret FEA analysis results for design and evaluation purposes
• Develop computer codes for FEM Elements.
• Derive the characteristics equation of Iso parametric elements.
• Apply knowledge towards Modal analysis in a vibrating element analytically.
TEXT BOOKS:
1. Daryl L Logan, “A First Course in the Finite Element Method”, 5th Edition, CL Engineering, 2010
2. David V Hutton, “Fundamentals of finite element analysis”, 1st Edition, McGraw Hill Education, 2004
3. Singiresu S. Rao, “The Finite Element Method in Engineering”, Fifth Edition, Butterworth Heinemann, 2010.
REFERENCES:
1. Bathe, K.J. and Wilson, E.L., Numerical Methods in Finite Elements Analysis, Prentice Hall of India, 1985.
2. Krishnamurthy, C.S., Finite Element Analysis, Tata McGraw Hill, 2000.
3. Reddy J.N., “An Introduction to Finite Element Method”, Third edition, McGraw Hill, 2000.
4. Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt, “Concepts and Applications of Finite Element Analysis”, 4th Edition, John Wiley and Sons, Inc., 2001.
5. Tirupathi.R. Chandrapatha and Ashok D. Belegundu – Introduction to Finite Elements in Engineering – Printice Hall India, Third Edition, 2003.