PROBLEM OF NONLINEAR STABILITY OF A ROUND-BOTTOM OBLATE SPHEROIDAL SHELL,
Abstract
The problem of nonlinear stability of the inner surface of a spherical shell with a central hole under uniform moment distribution was studied using a modified substitution method. The new method enables one to solve the problem under various substituted boundary conditions. The resultant moment along the inner surface can be obtained approximately from the combination of the various substituted boundary conditions. The calculated stability curve indicates the following: (1) the best stability characteristics of a spherical shell are obtained either with a very large or a very small central hole; (2) when alpha = 0.40, the central hole of the spherical shell has a marked effect on the instability of the shell, and the geometrical constant k reaches its minimum value, (k sub 0) min=12.65. The method can be extended to the same problem with various boundary and load conditions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 14, 1967
- Accession Number
- AD0661764
Entities
People
- Jen-wei Liu
Organizations
- National Air and Space Intelligence Center