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Physical shape functions in finite element analysis of moderately thick plates
Author(s) -
Gilewski Wojciech,
Gomuliński Andrzej
Publication year - 1991
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.1620320512
Subject(s) - finite element method , isotropy , stiffness , element (criminal law) , vibration , mathematical analysis , mixed finite element method , mathematics , geometry , structural engineering , physics , engineering , acoustics , quantum mechanics , political science , law
Abstract A new rectangular finite element for moderately thick plates is presented. The element is based on the concept of physical shape functions, i.e. functions which contain in themselves physical and geometrical properties of the element. The analytic formulae of stiffness, geometric stiffness and mass matrices are presented for isotropic material. The element is free from locking and zero energy modes not corresponding to rigid body motions. Several examples are presented for static, initial stability and free vibration problems.