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Finite element analysis of plates with curved edges
Author(s) -
Chernuka M. W.,
Cowper G. R.,
Lindberg G. M.,
Olson M. D.
Publication year - 1972
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620040108
Subject(s) - enhanced data rates for gsm evolution , finite element method , geometry , boundary (topology) , bending , mathematics , mathematical analysis , boundary value problem , boundary element method , type (biology) , structural engineering , engineering , geology , telecommunications , paleontology
Abstract The 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.