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Buckling of cantilever cones under external pressure

Experimental and numerical results are presented for clamped-free truncated conical shells under external pressure

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Abstract

An experimental and numerical study was performed on the buckling behavior of clamped-free truncated cones under external pressure. A lap-jointed polyester cone was vertically settled in a water vessel and was clamped at the small radius end. Raising water level, the relation of normal displacement with water level was recorded and the buckling water level was determined. The experimental results were in good agreement with the finite-element solutions.

The same finite-element program was then used for a parametric study on the buckling of clamped-free cones subjected to uniform external pressure. The results show that the ratio of the critical external pressure of a clamped-free cone with that of a simply supported equivalent cylinder is a function of only the taper ratio ψ of the cone.

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Abbreviations

E :

Young's modulus

H :

cone height

ℓ:

slant length of cone

n :

number of circumferential waves

p :

water level

p cr :

critical uniform external pressure

p e :

critical external pressure for equivalent cylinder

p max :

maximum water level

p w :

critical water level

R 1 :

radius of small end of cone

R 2 :

radius of large end of cone

t :

shell-wall thickness

w :

normal deflection

α:

semivertex angle of cone

ν:

Poisson's ratio

ϱ m :

average radius of curvature of cone (R 1+R 2)/2 cosα

ψ:

taper ratio of cone, 1−R 1/R 2

References

  1. Seide, P., “A Survey of Buckling Theory and Experiment for Circular Conical Shells of Constant Thickness,” NASA TN D-1510, 401–426 (Dec. 1962).

  2. Handbook of Structural Stability, Column Res. Comm. of Japan, Corona Pub. Co., LTD., Tokyo, 4.235–4.259 (1971).

  3. Kobayashi, S., “Buckling of Conical Shells,” (in Japanese),J. Japan Soc. Aeron. Space Sci., (17),274–286 (Jul.1969).

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  4. Miserentino, R. and Dixon, S.C., “Vibration and Aerodynamic Buckling Experiments for Blunt Truncated Conical Shells with Ring-Supported Edges,” NASA TN D-6864 (Sept. 1972).

  5. Navaratna, D.R., Pian, T.H.H. andWitmer, E.A., “Stability Analysis of Shells of Revolution by the Finite-Element Method,”AIAA J., (6),355–361 (Feb.1968).

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  6. Batdorf, S.B., “A Simplified Method of Elastic Stability Analysis for Thin Cylindrical Shells, I—Donnell's Equation,” NASA TN1341 (Jun. 1947).

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Authors and Affiliations

  1. National Aerospace Laboratory, Tokyo, Japan

    S. Toda (Principal Research Engineer) & K. Komatsu (Research Engineer)

Authors
  1. S. Toda
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  2. K. Komatsu
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Toda, S., Komatsu, K. Buckling of cantilever cones under external pressure. Experimental Mechanics 17, 477–480 (1977). https://doi.org/10.1007/BF02324671

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  • DOI: https://doi.org/10.1007/BF02324671

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