Membrane Analysis of Shellsby Donald L. Dean,
Serial Information: Journal of the Engineering Mechanics Division, 1963, Vol. 89, Issue 5, Pg. 65-88
Document Type: Journal Paper
Abstract: Membrane shell equations are derived in a form applicable to any system of curvilinear surface or projected plane coordinates. Only elementary reasoning is used, and all terms have a clear physical significance. Thus, the engineer is provided with insight for the selection of the most opportune coordinate net for the surface to be analyzed. The equations are interpreted through a discussion of their use to find membrane stresses in several categories of shell surfaces. For specific examples, new formulas are found for three surfaces: The tangent developable; the hyperboloid (with elliptical cross section); and the right helicoid.
Subject Headings: Membranes | Geometry
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