The Elastic Analysis of a Thin Toroidal Shell
Abstract
The specific impetus for this work was a conceptual design of a submarine using the toroid as the pressure hull. The designers could not find a ready body of knowledge to obtain scantlings for their pressure hull. This work began with a review of efforts to solve complete toroidal structures. Several works were found which addressed general shells and extended into partial toroids, but the solution of a complete toroid was not found to be a common exercise. Some of the these works are briefly reviewed. An attempt was then made to solve for the displacements in a thin walled circular toroid using the energy method. Several problems were identified associated with the structure geometry which make the solution for the complete toroid difficult. In addition, the functional used for the energy method needs to be more complex than the simple trigonometric or power series functionals used in this work. These two areas, geometry and functionals, are fertile areas for further study.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1987
- Accession Number
- ADA187801
Entities
People
- John D. Bowen
Organizations
- Massachusetts Institute of Technology