EML5526

EML5526 Finite Element Analysis and Applications

Course Description

3 Credits – Fundamentals, including discrete system analysis, dynamic analysis of structures, steady state and transient heat transfer analysis, and incompressible fluids analysis. Modeling, analysis, and design using FEA software.

Course Pre-Requisites / Co-Requisites

 EGM 3520 or equivalent.

Course Objectives

The objective of the course is to teach the fundamentals of finite element method with emphasize on the underlying theory and implementation issues as well as providing hands on experience using finite element software to model, analyze and design systems of relevance to mechanical engineers.

Textbook
  • Introduction to Finite Element Analysis and Design
    Authors: N.H. Kim, B.V. Sankar, and A.V. Kumar
    Wiley, 2nd Edition,  ISBN: 9781119078739
 Recommended Materials
  1. “A first course in the Finite Element Method”, Daryl L. Logan, Thomson Publishers.
  2. “A first course in finite elements” by Fish and Belytschko, Wiley Publications.
  3. “Finite Element Procedures in Engineering Analysis”, by K. J. Bathe, Prentice-Hall.
Course Content

The outline of the course is as follows:

  1. Background
  2. Introduction and notations
    • Discrete systems and direct stiffness method
    • Solution of linear simultaneous equations
  3. 1-D problems
    • Heat conduction example
    • Truss elements
    • Beam Elements
  4. 2D problems
    • Heat conduction
    • Linear elasticity (Structural Analysis)
      • Review of linear elasticity
      • 2D models (Plane stress, Plane strain, Axi-symmetric)
  5. Linear and higher order 2D elements
  6. 3D elements and modeling issues
    • 3D elements
    • Mesh generation and element selection issues
    • Brief introduction to: Plate and Shell elements
  7. Transient Heat transfer and Fluid flow analysis
  8. Dynamic analysis of structures including vibrations
    • Newmark method for analysis of second order systems
    • Modal superposition method