Research on General and Axisymmetric Ellipsoidal Shells Used as Domes, Pressure Vessels, and Tanks

[+] Author and Article Information
S. N. Krivoshapko

 Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya Street, Moscow 117198, Russia

Appl. Mech. Rev 60(6), 336-355 (Nov 01, 2007) (20 pages) doi:10.1115/1.2806278 History:

The principal advances in the design and construction, as well as the static, vibrational, and buckling analysis of thin-walled structures and buildings in the shape of general and axisymmetric ellipsoidal shells are summarized in this review. These shells are particularly useful as internally pressurized vessels or as heads and bottoms of cylindrical tanks and vessels. Reinforced concrete and structural steel domes of buildings, air-supported rubber-fabric shells, and underwater pressure vessels are also made in the form of ellipsoidal, shells. Knowing the geometry of ellipsoids, one can solve various problems in physics, optics, and so on. Basic results of theoretical and experimental investigations of the stress-strain state, buckling, and natural and forced vibrations contained in 209 references are presented in the review. The influence of temperature on the stress-strain state of the shells in question is also discussed. Some parts of the review are also devoted to an analysis of the literature on the stress-strain state of ellipsoidal and torispherical heads of pressure vessels with openings.

Copyright © 2007 by American Society of Mechanical Engineers
Topics: Shells , Stress
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Figure 1

Two families of lines of principle curvatures on a tri-axial ellipsoid

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Figure 2

Ellipsoids of revolution: (a) the oblate ellipsoid of revolution, (b) the sphere, (c) the prolate ellipsoid of revolution

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Figure 3

A model of forms of reinforced concrete covering the factory shop designed by “Tekstilproekt”

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Figure 4

Geometrical parameters of the main test bench of All-Russian Electrotechnical Institute in Istra (Russia, Moscow Region)

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Figure 5

Sport hall in Atlanta (USA)

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Figure 6

A roof cover of rubber factory in Brinmore (GB)

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Figure 7

The main dome of nuclear center near Munich (Germany)

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Figure 8

A religion building in Jerusalem (Israel)

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Figure 9

The coffee-house in Domby (the Caucasus)

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Figure 10

The drop-shaped tank

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Figure 11

Cylindrical tanks with an ellipsoidal bottom (a) and a head (b)

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Figure 12

An oblate ellipsoid of revolution with an elliptical opening given by parametrical equations 13

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Figure 13

The determination of the k coefficient depending on the ratio of semi-axes of the ellipse and of the shell thickness (s)

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Figure 14

A torispherical shell

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Figure 15

A sketch of the experimental plant consisting of a body made of thick-walled cylinder (1); supporting ring (2); an elliptical bottom (3); thick-walled plane head (4); rubber camera (6); a manometer (7)



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