Using a One-Dimensional Map to Determine the Buckling Load of Columns
Journal Title: International Journal of engineering Research and Applications - Year 2018, Vol 8, Issue 8
Abstract
This paper is aimed at finding the buckling load of columns by using a different approach than the traditional methods. One-dimensional maps are often seen in dynamic systems to describe how a regular motion changes into an irregular motion through bifurcations.The totalpotential energy is one of the traditional methods to find the buckling load of a structure. At first sight, it seems that these two are irrelevant. However, due to the fact that they are bothrelated to the bifurcation theory, this paper first transform the equilibrium condition of the total potential energy of a structure into the form of a one-dimensional map.By locating the first bifurcation point of the one-dimensional map, the buckling load of the structure can then be obtained. There are three examples given in this paper to demonstrate this innovative approach. The results show that the one-dimensional map theory works well and can be used as an alternative for finding the buckling load.
Authors and Affiliations
Jiin-Po Yeh
Keywords
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- EP ID EP395031
- DOI 10.9790/9622-0808016367.
- Views 127
- Downloads 0
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