EQSHELL: An Equilibrium Shell Finite Element for Arbitrary Shell Geometry

M. E. Laursen

EQSHELL: An Equilibrium Shell Finite Element for Arbitrary Shell Geometry

M. E. Laursen

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Abstract

A new equilibrium shell infinite element is presented. The complete description of the matrix manipulation leading to the elemental stiffness matrix is given.

The element can be used to analyse shells of arbitrary geometry and loading. The stresses are obtained as primary results and they satisfy the equilibrium equations accurately (error of order 3).

The results compare favourably with existing shell elements for the same element subdivision, see refs. [ 1 ] to [ 6 ]. However, generation of the elemental stiffness matrix is quite costly. At present research is aimed at reducing the computer work to 1/3 by avoiding division of each element into 3 subelements, which is normally necessary in the equilibrium method. It is the author's opinion that when this is achieved the advantages of the present element will outweigh the disadvantages of some extra computer work at elemental level.

Original language	English

Publisher	Danmarks Tekniske Højskole
Number of pages	52
Publication status	Published - 1977
Externally published	Yes

Series	Afdelingen for Bærende Konstruktioner, ABK-R
Number	77

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abstract = "A new equilibrium shell infinite element is presented. The complete description of the matrix manipulation leading to the elemental stiffness matrix is given. The element can be used to analyse shells of arbitrary geometry and loading. The stresses are obtained as primary results and they satisfy the equilibrium equations accurately (error of order 3). The results compare favourably with existing shell elements for the same element subdivision, see refs. [ 1 ] to [ 6 ]. However, generation of the elemental stiffness matrix is quite costly. At present research is aimed at reducing the computer work to 1/3 by avoiding division of each element into 3 subelements, which is normally necessary in the equilibrium method. It is the author's opinion that when this is achieved the advantages of the present element will outweigh the disadvantages of some extra computer work at elemental level.",

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AB - A new equilibrium shell infinite element is presented. The complete description of the matrix manipulation leading to the elemental stiffness matrix is given. The element can be used to analyse shells of arbitrary geometry and loading. The stresses are obtained as primary results and they satisfy the equilibrium equations accurately (error of order 3). The results compare favourably with existing shell elements for the same element subdivision, see refs. [ 1 ] to [ 6 ]. However, generation of the elemental stiffness matrix is quite costly. At present research is aimed at reducing the computer work to 1/3 by avoiding division of each element into 3 subelements, which is normally necessary in the equilibrium method. It is the author's opinion that when this is achieved the advantages of the present element will outweigh the disadvantages of some extra computer work at elemental level.

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PB - Danmarks Tekniske Højskole

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EQSHELL: An Equilibrium Shell Finite Element for Arbitrary Shell Geometry

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