PERTURBATION SOLUTIONS FOR THE BUCKLING PROBLEM OF AXIALLY COMPRESSED THIN CYLINDER SHELLS
Abstract
A study is made of the effect of initial deviations on the load carrying capacity of thin circular cylindrical shells under uniform axial compression. A perturbation expansion is used to reduce the nonlinear equations of von Karman-Donnell to an infinite set of linear equations, of which only the first few need be solved to obtain a reasonable accurate solution. The results for both infinite shells and shells of finite length indicate that a small imperfection can sharply reduce the maximum load that a thin-walled cylinder will sustain. In addition, for a particular set of boundary conditions, it is shown that the effect of the length for a finite shell, is small.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1966
- Accession Number
- AD0642939
Entities
People
- Clive L. Dym
- Nicholas J. Hoff
Organizations
- Stanford University