MTech Finite Element Methods syllabus for 1 Sem 2020 scheme 20MAP13

Module-1 Introduction to Finite Element Method, One-Dimensional Elements-Analysis of Bars 0 hours

Introduction to Finite Element Method, One-Dimensional Elements-Analysis of Bars:

Introduction to FEM and fundamental principles, Engineering Analysis, Variational formulations, weighted residual methods. Basic Equations and Potential Energy Functional, 1-0 Bar Element, Strain matrix, Element equations, Stiffness matrix.

Module-2 Two-Dimensional Elements-Analysis, Three-Dimensional Elements-Applications and Problems 0 hours

Two-Dimensional Elements-Analysis, Three-Dimensional Elements-Applications and Problems:

ThreeNoded Triangular Element (TRIA 3), Four-Noded Quadrilateral Element (QUAD 4), Shape functions for Higher Order Elements (TRIA 6, QUAD 8). Basic Equations and Potential Energy Functional, Four-Noded Tetrahedral Element (TET 4), Eight-Noded Hexahedral Element (HEXA 8), Tetrahedral elements, Hexahedral elements: Serendipity family, Hexahedral elements: Lagrange family. Shape functions for Higher Order Elements.

A d v e r t i s e m e n t
Module-3 Aero Structural analysis through FEM for Beams and Trusses 0 hours

Aero Structural analysis through FEM for Beams and Trusses:

1–D Beam Element, 2–D Beam Element, shape functions and stiffness matrixes, Problems, trusses with one, two, three and four bar elements.

Module-4 FEM analysis of Heat Transfer and Fluid Flow 0 hours

FEM analysis of Heat Transfer and Fluid Flow:

Steady state heat transfer, 1 D heat conduction governing equation, boundary conditions, One dimensional element, Functional approach for heat conduction, Galerkin approach for heat conduction, heat flux boundary condition, 1 D heat transfer in thin fins. Basic differential equation for fluid flow in pipes, around solid bodies, porous media.

Module-5 FEM for Dynamics 0 hours

FEM for Dynamics:

Formulation for point mass and distributed masses, Consistent element mass matrix of one dimensional bar element, truss element, axi-symmetric triangular element, quadrilateral element, beam element. Lumped mass matrix, Evaluation of eigen values and eigen vectors, Applications to bars, stepped bars and beams, familiarization with commercial FEM softwares.

 

Course outcomes:

At the end of the course the student will be able to:

1. Apply FEA the one, two and three dimensional problems.

2. Simulate the real life problems of aero structure analysis using FEM.

3. Distinguish the use of different commercial FEM softwares for static and dynamic problems.

 

Question paper pattern:

The SEE question paper will be set for 100 marks and the marks scored will be proportionately reduced to 60.

  • The question paper will have ten full questions carrying equal marks.
  • Each full question is for 20 marks.
  • There will be two full questions (with a maximum of four sub questions) from each module.
  • Each full question will have sub question covering all the topics under a module.
  • The students will have to answer five full questions, selecting one full question from each module.

 

Textbook/ Textbooks

1 Finite Elements in engineering Chandrupatla T. R. PHI 2nd Edition 2007

2 Finite Elements Method in Engineering Rao S. S Elsevier 4th Edition 2006

 

Reference Books

1 Finite Elements Analysis Lakshminarayana H. V. Universities Press, 2004

2 Textbook of Finite Element Analysis P.Seshu PHI 2004

3 Finite Element Method J.N.Reddy McGraw -Hill International Edition 3 rd edition &2005

4 Finite Elements Procedures Bathe K. J. PHI 2007

Categories

VTU Updates