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Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

Finite Element Analysis

ME 55100 / 3 Cr. (3 Class)

Concepts of finite elements methods; formulations for different engineering problems and their applications. Variational methods, the finite element concept, and applications in stress analysis, dynamics, fluid mechanics, and heat transfer.

Textbooks

J.N. Reddy, An Introduction to the Finite Element Method, Third Edition, McGraw-Hill, New York, 2006.

Goals

To teach students the finite element method and to convey the basic ideas on which the method is founded. The basic principles of the method with applications in several areas are presented in a unified manner so that the students with diverse backgrounds can later apply the method to problems of their individual interests. A multi-physics finite element code, ANSYS is used for applications.

Outcomes

After completion of this course, the students should be able to:

  1. Derive the finite element equations for different boundary- and initial-boundary-value problems
  2. Use partial-differential equation concepts, variational principles, and interpolation theories to derive finite element models
  3. Develop finite element algorithms for steady and transient problems
  4. Use finite element codes for modeling of problems encountered in various branches of engineering and sciences
  5. Analyze and evaluate the solution of finite element codes
  6. Make error analysis and checks to verify accuracy of the finite element solutions
  7. Code finite element programs with minimum extra training
  8. Apply the method to problems in their specific field of study
Topics
  1. Variational formulation of boundary and initial boundary value problems (4 classes)
  2. Finite element formulation and analysis of one-dimensional problems (8 classes)
  3. Computer implementation of the finite element method (3 classes)
  4. Finite element formulation and analysis of two-dimensional problems with single and multi-variables (10 classes)
  5. Computer applications using the finite element computer program ANSYS (3 classes)

Note: one class = 75 minutes