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Research Papers: Design and Analysis

Analytical Investigation of Elastic Thin-Walled Cylinder and Truncated Cone Shell Intersection Under Internal Pressure

[+] Author and Article Information
J. Zamani

Laboratory of Metal Forming,
Department of Mechanical Engineering,
K. N. Toosi University,
Pardis Street, Mollasadra Avenue, Vanak Square,
Tehran 1999143344, Iran
e-mail: zamani@kntu.ac.ir

B. Soltani

Laboratory of Metal Forming,
Department of Mechanical Engineering,
K. N. Toosi University,
Pardis Street, Mollasadra Avenue, Vanak Square,
Tehran 1999143344, Iran

M. Aghaei

Department of Mechanical Engineering,
Amir Kabir University (Polytechnic of Tehran),
424 Hafez Avenue,
Tehran 71436-84548, Iran

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received December 1, 2012; final manuscript received April 15, 2014; published online July 10, 2014. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 136(5), 051201 (Jul 10, 2014) (8 pages) Paper No: PVT-12-1184; doi: 10.1115/1.4027583 History: Received December 01, 2012; Revised April 15, 2014

An elastic solution of cylinder-truncated cone shell intersection under internal pressure is presented. The edge solution theory that has been used in this study takes bending moments and shearing forces into account in the thin-walled shell of revolution element. The general solution of the cone equations is based on power series method. The effect of cone apex angle on the stress distribution in conical and cylindrical parts of structure is investigated. In addition, the effect of the intersection and boundary locations on the circumferential and longitudinal stresses is evaluated and it is shown that how quantitatively they are essential.

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References

Ugural, A. C., 1990, Stresses in Plates and Shells, 3rd ed., Springer, New York.
Uddin, M. W., 1986, “Large Deflection Analysis of Spherical Head Pressure Vessels,” Nucl. Eng. Des., 96, pp. 47–61. [CrossRef]
Chien, H.-L., and Wu, S.-J., 1988, “Elastic Stress Analysis of Two Oblique Intersecting Cylindrical Shells Subjected to Internal Pressure,” Int. J. Pressure Vessels Piping, 31, pp. 295–312. [CrossRef]
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Miksch, M., and Mera, A., 1975, “Static and Heat Transfer Analysis of a Sphere-Cone Intersection in a Nuclear Containment Vessel,” Int. J. Pressure Vessels Piping, 3, pp. 27–42. [CrossRef]
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Belica, T., Malinowski, M., and Magnucki, K., 2011, “Dynamic Stability of an Isotropic Metal Foam Cylindrical Shell Subjected to External Pressure and Axial Compression,” ASME J. Appl. Mech., 78(4), p. 041003. [CrossRef]
Rotter, J. M., Cai, M., and Holst, J. M. F. G., 2011, “Buckling of Thin Cylindrical Shells Under Locally Elevated Compressive Stresses,” ASME J. Pressure Vessel Technol., 133(1), p. 011204. [CrossRef]
Li, Z.-m., Lin, Z. Q., and Chen, G.-L., 2011, “Postbuckling of Shear Deformable Geodesically Stiffened Anisotropic Laminated Cylindrical Shell Under External Pressure,” ASME J. Pressure Vessel Technol., 133(2), p. 021204. [CrossRef]
Timoshenko, S., and Woinowsky-Krieger, S., 1970, Theory of Plates and Shells, 2nd ed., McGraw-Hill Book Co., Singapore.

Figures

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Fig. 3

Defined parameters of the conical shell

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Fig. 4

A flowchart indicating the steps for performing the necessary calculations

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Fig. 5

Geometric parameters of the analyzed structure along with corresponding coordinates

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Fig. 6

Equilibrium condition between two parts of the structure

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Fig. 2

Shell of revolution element with symmetric load (general theory)

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Fig. 1

Shell of revolution element with symmetric load (membrane theory)

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Fig. 7

Comparison between analytical and FEM results

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Fig. 8

Circumferential stress in cylinder-part in different angles (a) inner surface and (b) outer surface

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Fig. 9

Longitudinal stress in cylinder-part in different angles (a) inner surface and (b) outer surface

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Fig. 10

Circumferential stress in cone-part in different angles (a) inner surface and (b) outer surface

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Fig. 11

Longitudinal stress in cone-part in different angles (a) inner surface and (b) outer surface

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