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A finite element model for column‐supported shells of revolution
Author(s) -
Han Kye J.,
Tu Wen W.
Publication year - 1987
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.1620241010
Subject(s) - rotational symmetry , finite element method , structural engineering , shell (structure) , stiffness , compatibility (geochemistry) , column (typography) , axial symmetry , mathematics , geometry , engineering , materials science , connection (principal bundle) , mechanical engineering , composite material
A finite element model suitable for the analysis of column‐supported shells of revolution is presented. This model combines in a single analysis axisymmetric shell elements with nodal circles and column elements with nodal points. Thus, it takes advantage of the axisymmetry of the shell, while the non‐axisymmetric nature of individual columns is fully accounted for. The compatibility between the two different types of elements is achieved through the use of a co‐ordinate transformation. The accuracy of the solutions is demonstrated through numerical examples. When a shell of revolution supported on equispaced columns of the same stiffness is subjected to a harmonically varying load in the circumferential angle, it is found that the resulting displacements are associated with selective harmonic terms. An equation which precisely defines this coupling mechanism is also derived.