In axisymmetric finite element models, two-dimensional elements are used to model three-dimensional structures exhibiting symmetry about an axis of rotation. The integrand yielding the stiffness matrix for axisymmetric elements contains terms of the order 1/r. Numerical integration schemes such as standard Gaussian quadrature typically applied in practice yield inaccurate results. This research focuses on techniques of numerically integrating the stiffness matrix of axisymmetric elasticity finite elements, and discusses examples for accurate integration and accurate finite element solutions.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Jolley, William Owen

Publisher

• Worcester Polytechnic Institute

Identifier

• 02D347M

Advisor

• Rencis, Joseph J.

Year

• 2002

Date created

• 2002-01-01

Resource type

• Major Qualifying Project

Major

• Mechanical Engineering

Rights statement

• In Copyright

License

• All rights reserved