scholarly journals Discussion: “Thin Circular Conical Shells Under Arbitrary Loads” (Hoff, N. J., 1955, ASME J. Appl. Mech., 22, pp. 557–562)

1956 ◽  
Vol 23 (2) ◽  
pp. 322-323
Author(s):  
F. V. Pohle
Keyword(s):  
Conical Shells ◽  
Circular Conical Shells

Plastic General Instability of Ring—Reinforced Conical Shells Under Uniform External Pressure

2007 ◽  
Vol 44 (04) ◽  
pp. 268-277
Author(s):  
Carl T.F. Ross ◽  
Andrew P. F. Little ◽  
Robert Allsop ◽  
Charles Smith ◽  
Marcus Engelhardt
Keyword(s):  
Experimental Tests ◽  
External Pressure ◽  
Elastic Buckling ◽  
Conical Shells ◽  
Uniform External Pressure ◽  
Design Chart ◽  
Circular Conical Shells ◽  
High Degree ◽  
Very High ◽  
Ring Shell

The paper describes experimental tests carried out on three ring-reinforced circular conical shells that suffered plastic general instability under uniform external pressure. In this mode, the entire ring-shell combination buckles bodily in its flank. The cones were carefully machined from EN1A mild steel to a very high degree of precision. The paper also provides a design chart using the results obtained from these three vessels, together with the results of nine other vessels obtained from other tests. All 12 vessels failed by general instability. The design chart allows the possibility of obtaining a plastic knockdown factor, so that the theoretical elastic buckling pressures for perfect vessels can be divided by the plastic knockdown factor, to give the predicted buckling pressure. This method can also be used for the design of full-scale vessels.

General Instability of Stiffened Circular Conical Shells under Hydrostatic Pressure

1965 ◽  
Vol 16 (2) ◽  
pp. 187-204 ◽  
Author(s):  
M. Baruch ◽  
J. Singer
Keyword(s):  
Hydrostatic Pressure ◽  
Boundary Conditions ◽  
Cross Section ◽  
Contact Surface ◽  
Critical Pressure ◽  
Boundary Work ◽  
Conical Shells ◽  
Circular Conical Shells ◽  
Simple Supports ◽  
The Stability

SummaryDonnell type equilibrium and stability equations are derived for stiffened thin conical shells. The stiffeners are considered closely spaced and are therefore assumed to be “distributed” over the whole surface of the shell. In the proposed theory the stiffeners and their spacing may vary in any prescribed manner, but here only equal and equally spaced stiffeners are dealt with. The force- and moment-strain relations of the combined stiffener-sheet cross section are determined by the assumption of identical normal strains at the contact surface of stiffener and sheet.The stability equations are solved for general instability under hydrostatic pressure by the method of virtual displacements. The solution used earlier for unstiffened conical shells, which satisfies some of the boundary conditions of simple supports only approximately, is again applied here. The effect of this incomplete compliance with boundary conditions is shown to be negligible by consideration of “boundary work”. The solution proposed for stiffened conical shells involves the concepts of “correcting coefficients” and minimisation of corresponding “error loads”.Typical examples are analysed and the effect of eccentricity of stiffeners is investigated. Simplified approximate formulae for the critical pressure of frame-stiffened conical shells are also proposed.

A refined asymptotic theory of laminated circular conical shells

2002 ◽  
Vol 21 (2) ◽  
pp. 281-300 ◽  
Author(s):  
Chih-Ping Wu ◽  
Yu-Chang Hung ◽  
Jyh-Yeuan Lo
Keyword(s):  
Asymptotic Theory ◽  
Conical Shells ◽  
Circular Conical Shells
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