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Static analysis of shallow shells of arbitrary shape—a new approach
Author(s) -
Bucco D.,
Mazumdar J.,
Sved G.
Publication year - 1982
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.1620180703
Subject(s) - finite element method , stiffness matrix , galerkin method , partial differential equation , mathematics , stiffness , deflection (physics) , scalar (mathematics) , mathematical analysis , direct stiffness method , numerical analysis , simple (philosophy) , geometry , structural engineering , engineering , classical mechanics , physics , philosophy , epistemology
A simple, efficient and economical numerical technique for the analysis of shallow shells‐of arbitrary shape is presented. The technique is based upon the method of constant‐deflection contours combined with the well‐known finite element method. In the proposed method the elemental stiffness matrix is derived from a system of two consistent partial differential equations for two scalar functions using Galerkin's method. Several representative examples are included to indicate the effectiveness of the method.