Abstract
In this paper, the postbuckling behavior of a column with nonlinear stress-strain characteristics is analysed by means of a catastrophe theory. As a result, it is shown that the postbuckling behavior of the column with linear stress-strain characteristics is modeled by the cusp catastrophe. Moreover, it is clarified that the postbuckling behavior of the column with nonlinear (symmetric and cubic) stress-strain characteristics must be analysed by the butterfly catastrophe.
| Original language | English |
|---|---|
| Pages (from-to) | 2074-2079 |
| Number of pages | 6 |
| Journal | Journal of the Japan Society for Precision Engineering |
| Volume | 52 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 1986 |
| Externally published | Yes |
Keywords
- bifurcation set
- butterfly catastrophe
- catastrophe theory
- cusp catastrophe
- imperfection force
- perturbation method
- postbuckling
- unstable phenomenon
ASJC Scopus subject areas
- Mechanical Engineering