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On completeness of shape functions for finite element analysis

✍ Scribed by Robert L. Taylor

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

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πŸ“œ SIMILAR VOLUMES

On completeness of shape functions for f
On completeness of shape functions for finite element analysis
✍ Robert L. Taylor πŸ“‚ Article πŸ“… 1972 πŸ› John Wiley and Sons 🌐 English βš– 302 KB πŸ‘ 1 views

Some elements commonly used for analysis are examined for completeness of polynomial interpolation and computational efficiency. Extensions to n-dimensional space are shown to be natural consequences of the interpolation, thus all elements considered here allow for finite element approximation in hi

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This paper presents a method for the dynamic analysis of a thin, elastic, isotropic rectangular plate. The method is a hybrid of "nite element theory and classical thin plate theory. The displacement functions are derived from Sanders' thin-shell equations, and are expanded in power series. Expressi

An improved algorithm for developing β€˜sp
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✍ Dydo, James R. ;Busby, Henry R. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

An improvement to a previously described algorithm that systematically generates shape functions is presented. The new method produces explicit closed-form shape functions which may be programmed directly. The previous method evaluated the shape functions numerically at the Gauss points by means of

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✍ A. A. LAKIS; A. SELMANE πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 325 KB πŸ‘ 2 views

The objective of this work is to present a new method for the dynamic and static analysis of thin, elastic, isotropic, non-uniform circular and annular plates. The method is a combination of plate theory and finite element analysis. The plate is divided into one circular and many annular finite elem