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The effectiveness of excessive nodal continuities in the finite element analysis of thin rectangular and skew plates in bending
Author(s) -
Smith Ian M.,
Duncan William
Publication year - 1970
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.1620020210
Subject(s) - skew , finite element method , parallelogram , bending , structural engineering , sophistication , displacement (psychology) , stress (linguistics) , simple (philosophy) , bending stiffness , bending of plates , stiffness , mathematics , mathematical analysis , engineering , psychology , telecommunications , social science , linguistics , philosophy , hinge , epistemology , sociology , psychotherapist
Abstract Some typical results of an extensive series of evaluations of parallelogram‐shaped plate bending elements with increasing levels of sophistication are presented. It is shown that, contrary to experience in other fields of stress analysis, this sophistication does not lead to striking improvements in accuracy in the solution of simple rectangular and skew plate problems. A computational procedure is described whereby stiffness matrices may be automatically generated from the minimum of input data specifying the displacement modes prescribed for the element.