主要期刊论文

An integration technique in Burnett infinite element




作者: L.-X. LI, et al
发表/完成日期: 2003-11-16
期刊名称: Proceedings of the ASME NCA Division - 2003
期卷: NCA, v 30
相关文章: 17(IMECE2003-41059).pdf   
论文简介
Burnett element[1] has been regarded as the most important
contribution to infinite element method. It comprises two
principal features: one is the use of confocal ellipsoidal
coordinate system; another is the exact multi-pole expansion in
the newly defined “radial” direction. The former leads in effect
to a quasi one-dimensional problem from the infinite point of
view, and thereby makes the latter be possibly carried out.
However, in evaluating the system matrices, undefined integrals
are involved. Hence, the resulting “stiffness”, “damping” and
“mass” matrices don’t have definite physical significance. The
potential disadvantage is that this efficient element cannot be
directly used to solve transient problems.
In this paper, presentation of the theory of multi-pole
expansion used in Burnett element is changed in form and the
shape functions are subsequently expressed in terms of local
coordinates by using the infinite-to-finite geometry mapping. In
addition to the use of Astley type weighting functions[2] and to
the modification of the weighting factor, the system matrices of
Burnett infinite element are eventually bounded and integrated
term by term using Gauss rules.