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Numerically exact integration of a family of axisymmetric finite elements

✍ Scribed by Price, T. E.

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
94 KB
Volume
19
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

Axisymmetric finite element stress analysis involves repeated integration of a rational polynomial integrand. For elements near the axis of symmetry, such integrals are quasi‐singular, are difficult to integrate numerically, and can lead to significant computational errors. This paper describes a Gaussian quadrature procedure to integrate exactly, within computational limits, a class of rational polynomials over undistorted triangular and quadrilateral finite elements. The procedure's accuracy and efficiency are illustrated through a numerical example. Copyright Β© 2003 John Wiley & Sons, Ltd.

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