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A rectangular plate bending element the use of which is equivalent to the use of the finite difference method
Author(s) -
Salonen EM.
Publication year - 1969
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.1620010305
Subject(s) - finite element method , deflection (physics) , mixed finite element method , bending of plates , mathematics , stiffness matrix , mathematical analysis , extended finite element method , finite difference , stiffness , structural engineering , strain energy , finite difference coefficient , bending , geometry , engineering , physics , classical mechanics
A presentation is made of a rectangular plate bending element, the use of which corresponds to the finite difference method. The element stiffness matrix is arrived at by approximation of the strain energy of the element by suitably selected finite difference expressions which contain not only values in respect of the deflection, but also values of its first derivatives. On the basis of the connection found between the two methods, some changes are suggested in the finite difference method, which involve a more realistic way of considering the detailed distribution of the loading. The effect of these modifications is illustrated in two applications.