Finite element analysis of plates with curved edges
作者:
M. W. Chernuka,
G. R. Cowper,
G. M. Lindberg,
M. D. Olson,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1972)
卷期:
Volume 4,
issue 1
页码: 49-65
ISSN:0029-5981
年代: 1972
DOI:10.1002/nme.1620040108
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractThe application of the high precision triangular plate bending element to problems with curved boundaries is considered. Appropriate edge conditions for nodal points on these boundaries are derived. The error inherent in representing the shape of a curved boundary by a series of straight segments is found to be the limiting factor on accuracy, while the effect of approximations in the actual boundary conditions is minor. To overcome the first type of error, the high precision element is modified to include one curved edge. Substantial improvements in accuracy are obtained, as demonstrated in example calculations for circular and elliptical plates.
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