Dynamic Instability of a Deep Spherical Shell

by Fang-Huai H. Ho,

Serial Information: Journal of the Engineering Mechanics Division, 1965, Vol. 91, Issue 3, Pg. 233-250

Document Type: Journal Paper

Abstract: Axisymmetrical snapping of a thin elastic deep spherical shell under a suddenly applied constant dynamic loading distributed uniformly over the surface of the shell is considered on the basis of finite-deformation theory. Based on a first approximation of deflections, qualitative results are obtained by using a phase-plane method. It is found that the critical dynamic pressure of such a shell can be considerably lower than the static critical pressure predicted by classic linear theory. In addition, there is the possibility of the occurrence of a jump at an applied pressure even lower than the critical value because of finite disturbance. It is suggested that the dynamic buckling pressure be found statistically based on experimental results.

Subject Headings: Dynamic pressure | Dynamic loads | Spherical shells | Approximation methods | Dynamic response | Axisymmetry | Elastic analysis | Load distribution |

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