Preliminary Design Procedure for End Rings of Isotropic Conical Shells Loaded by External Pressure

Preliminary Design Procedure for End Rings of Isotropic Conical Shells Loaded by External Pressure
Author: Sidney C. Dixon
Publisher:
Total Pages: 44
Release: 1970
Genre: Buckling (Mechanics)
ISBN:

The effect of ring size on the buckling of truncated isotropic conical shells supported at the ends by rings and subjected to hydrostatic- or lateral pressure loadings has been studied. Results were obtained from an approximate theory based on Donnell-type shell theory and a membrane prestress state. For a given shell geometry, the ring properties were varied to determine the smallest ring required to provide the equivalent of essentially clamped support. For a particular application, this procedure yielded the minimum mass of the shell-ring configuration. A nondimensional stiffness parameter was determined which correlated, in general, the results for the entire range of ring and shell geometries considered. Approximate formulas are presented for the preliminary design of rings with both closed (circular and square) and open (I and Z) cross sections.

Vibration and Aerodynamic Buckling Experiments for Blunt Truncated Conical Shells with Ring-supported Edges

Vibration and Aerodynamic Buckling Experiments for Blunt Truncated Conical Shells with Ring-supported Edges
Author: Robert Miserentino
Publisher:
Total Pages: 44
Release: 1972
Genre: Aerodynamic load
ISBN:

The vibration and buckling characteristics of a series of 140 deg ring-supported conical shells have been investigated experimentally and analytically. Experimental results were obtained from 14 conical shells, each attached to a solid nose cap at the small end. The large (base) end was either free or attached to a solid ring of rectangular cross section. The size of the solid base rings of rectangular cross section was systematically varied to provide a wide range of edge restraint. Shell buckling was induced by aerodynamic loading at a Mach number of 3; the vibration data were obtained prior to the wind tunnel tests. The experimental vibration data indicated that the size of the base rings had a pronounced effect on the magnitude of the frequencies and on the frequency spectrum. For vibration modes having less than two circumferential waves, the frequencies descreased with increasing ring size; whereas, for modes with several circumferential waves, the frequencies initially increased rapidly with ring size and then became relatively insensitive to further increases in ring size. This latter behavior was similar to the trend exhibited by the variation of buckling pressure with ring size. The experimental results were in excellent qualitative agreement with theoretical results and indicated that current shell-of-revolution analyses are adequate for predicting the vibration and buckling behavior of ring-supported shells, at least for the simple isotropic shells considered in this investigation.