Bifurcation Analyses for Shallow Arches

by Clive L. Dym, (M.ASCE), Assoc. Prof.; Dept. of Civ. Engrg., Carnegie-Mellon Univ., Pittsburgh, PA,

Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 2, Pg. 287-301

Document Type: Journal Paper


An analysis based on Koiter's initial post-buckling theory is presented for the asymmetric buckling of clamped and pinned shallow arches, uniformly loaded. Based on a linear prebuckling state, the post-buckling analysis indicates that the asymmetric bifurcations occur as predicted by the exact theory, and that these bifurcations are generally unstable. A comparison is also made between the present shallow arch results and those obtained using a steep arch theory, and good agreement is shown over the expected range of agreement. Finally, it is shown that the Budiansky-Hutchinson formalism is a somewhat simpler approach to the post-buckling analysis than is Koiter's development.

Subject Headings: Post buckling | Bifurcations | Arches | Asymmetry | Linear analysis | Agreements and treaties | Load factors | Comparative studies

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