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A bilinear shell element based on a refined shallow shell model

✍ Scribed by Antti H. Niemi

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
647 KB
Volume
81
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

A four‐node shell finite element of arbitrary quadrilateral shape is developed and applied to the solution of static and vibration problems. The element incorporates five generalized degrees of freedom per node, namely the three displacements of the curved middle surface and the two rotations of its normal vector. The stiffness properties of the element are defined using isoparametric principles in a local co‐ordinate system with axes approximately parallel to the edges of the element. The formulation is based on a modern, refined variant of the shallow shell models found from the classical books on shell theory. In addition, the bending behavior of the element is improved with numerical modifications, which include mixed interpolation of the membrane and transverse shear strains. The numerical experiments show that the element is able to compete in accuracy with the highly reputable bilinear elements of the commercial codes ABAQUS and ADINA. The new formulation even outperforms its commercial rivals in problems with strong layers such as vibration problems or problems with concentrated loads. Copyright Β© 2009 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

On the classical shell model underlying
On the classical shell model underlying bilinear degenerated shell finite elements
✍ Mika Malinen πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 581 KB

## Abstract We study the shell models arising in the numerical modelling of shells by bilinear degenerated shell finite elements. The numerical model of a cylindrical shell obtained by using flat shell elements is given an equivalent formulation based on a classical two‐dimensional shell model. We