Shells of Revolution with Concentration Edge Forces

by David G. Elms,

Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 3, Pg. 711-730

Document Type: Journal Paper


When a concentrated force is applied to a shell structure a stress results which may be regarded as being caused by the propagation of the effects of a localized disturbance into the shell. The way in which these effects distribute themselves is an interesting problem, especially for shells of negative Gaussian curvature, and it is investigated for secord-order shells of revolution—ellipsoids, hyperboloids and cylinders—subjected to concentrated edge forces in the axial direction. A theoretical approach is first developed based on a quasi-cylindrical approximation. Examples are then worked out which show that cylinders and hyperboloids of revolution possess directions along which stresses tend to propagate preferentially, while shells of positive Gaussian curvature do not have this property. Finally, a comparison is made between theoretical and previously reported experimental results.

Subject Headings: Gaussian process | Curvature | Cylinders | Shell structures | Axial forces | Approximation methods | Comparative studies

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