Comparison of Two High-Precision Triangular Finite Elements for Arbitrary Deep Shells
Item
- Title
- Comparison of Two High-Precision Triangular Finite Elements for Arbitrary Deep Shells
- Description
- Two approaches to the finite element analysis of arbitrary deep shells are presented and compared. One approach involves the derivation of a suitable transformation to link shallow shell elements together to form deep shells. The second approach involves the derivation of a curvilinear element based on the general tensorial formula for the strain energy of a thin shell. Both approaches use higher order interpolation functions and both result in triangular finite elements with 36 degrees of freedom, 12 at each node. Results confirm that both approaches give accurate predictions o f stresses as well as displacements. Solutions rapidly converge as the number of elements is increased and engineering accuracy is always attained with just a few elements.
- Creator
- Cowper, G. Richard
- Lindberg, Garry M.
- Olson, Mervyn D.
- Abstract
- Two approaches to the finite element analysis of arbitrary deep shells are presented and compared. One approach involves the derivation of a suitable transformation to link shallow shell elements together to form deep shells. The second approach involves the derivation of a curvilinear element based on the general tensorial formula for the strain energy of a thin shell. Both approaches use higher order interpolation functions and both result in triangular finite elements with 36 degrees of freedom, 12 at each node. Results confirm that both approaches give accurate predictions o f stresses as well as displacements. Solutions rapidly converge as the number of elements is increased and engineering accuracy is always attained with just a few elements.
- Corporate Author
- National Aeronautical Establishment, National Research Council of Canada
- Department of Civil Engineering, University of British Columbia.
- Report Number
- AFFDL TR 71-160 p. 277-304
- Report Availability
- Full text available
- Publisher
- Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
- Date
- 1973
- Type
- article
- Date Issued
- 1973-12
- Provenance
- Bombardier/Aero
- Distribution Classification
- 1
- Distribution Conflict
- No
- DTIC Record Exists
- No
- Format
- 1 online resource (29 pages) : ill.
- Extent
- 29
- Identifier
- AD0785968
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| Title | Class |
|---|---|
| Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971 |