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A lumped parameter element for the analysis of hyperbolic paraboloid shells

✍ Scribed by Bijan Mohraz

Publisher
John Wiley and Sons
Year
1972
Tongue
English
Weight
604 KB
Volume
4
Category
Article
ISSN
0029-5981

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✦ Synopsis

This paper presents the derivation of the stiffness matrix for a lumped parameter hyperbolic paraboloid shell element. This element is used to obtain solutions to hyperbolic paraboloid shells with various edge conditions. Numerical examples for three types of support conditions (a simple support, a clamped edge and a shell supported by concentric edge beams) are presented. To illustrate the applicability of the method, the results obtained by the lumped parameter element are compared with those obtained by well-known methods of analysis such as the variational procedure, the finite difference and the finite element method.

πŸ“œ SIMILAR VOLUMES

A generalized displacement method for th
A generalized displacement method for the finite element analysis of thin shells
✍ Li Xi Kui; Guo Qiang Liu; O. C. Zienkiewicz πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 544 KB

The shear locking problem for the bilinear degenerated thick shell elements, when used in the context of thin shell structures, can be overcome by a generalized displacement method presented in this paper. The transverse shear energy in the degenerated thick shell elements is totally suppressed by i