The Finite Element Analysis of a Thick Shell of Revolution.
Abstract
The report describes a new method of treating the transverse shear in a thick shell of revolution by the finite element method. Instead of introducing two usual shear strains, meridional and tangential, in addition to three membrane strains and three bending strains, the first derivatives of these shear strains are simply added to appropriate bending strains. A linear variation of shear strains, meridional and tangential displacements, and a cubic variation of transverse displacement are assumed over the finite element. The generalized displacements include a total of six components: meridional displacements, tangential displacement, transverse displacement, meridional curvature, meridional rotation, and tangential rotation. The last two rotation components contain terms associated with the shear strains. A semispherical shell is solved to verify the theory and coding. The results indicate consistently less displacements than those analyzed by a thin shell theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1970
- Accession Number
- AD0717767
Entities
People
- M. A. Bandy
- T. J. Chung
Organizations
- University of Alabama in Huntsville