On the Creep Buckling of Axially Compressed Circular Cylindrical Shells

On the Creep Buckling of Axially Compressed Circular Cylindrical Shells
Author: Bernard Robert Schneider
Publisher:
Total Pages: 104
Release: 1966
Genre: Buckling (Mechanics)
ISBN:

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The problem of creep induced instability in structures is discussed. A linearization procedure proposed by Onat and Wang (Creep in Structures, Springer-Verlag, 1962, p. 125) and generalized by Carlson (Recent Progress in Applied Mechanics - The Folke Odgvist Volume, Almqvist and Wiksell, Gebers, Stockholm, 1966) is applied to the problem of the creep buckling of circular cylindrical shells under uniform, axial compression. Solutions for axisymmetric creep buckling of semi-infinite and infinite cylinders are obtained and a comparison with experimental data is made. In accordance with expectations based on the criterion for instability, the theoretically predicted critical times are smaller than the experimentally observed critical times.

Creep Buckling of Relatively Thick Circular Cylindrical Shells Compressed Axially

Creep Buckling of Relatively Thick Circular Cylindrical Shells Compressed Axially
Author: Stanford University. Department of Aeronautics and Astronautics
Publisher:
Total Pages: 34
Release: 1973
Genre: Buckling (Mechanics)
ISBN:

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Experimental results obtained with 31 nickel circular cylindrical shell specimens are evaluated in the light of the theory. The test results have already been reported in SUDAAR No. 415. The experimental creep buckling times obtained in axial compression at a temperature of 650F were found to be in reasonable agreement with the theoretical formulas. (Author).

ASME 68-APM-30

ASME 68-APM-30
Author: Nicholas John Hoff
Publisher:
Total Pages: 9
Release: 1968
Genre: Buckling (Mechanics)
ISBN:

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Experimental Study of the Creep Buckling of Moderately Thin-walled Circular Cylindrical Shells Subjected to Axial Compression

Experimental Study of the Creep Buckling of Moderately Thin-walled Circular Cylindrical Shells Subjected to Axial Compression
Author: Michel Benoit
Publisher:
Total Pages: 144
Release: 1970
Genre: Buckling (Mechanics)
ISBN:

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Test equipment suitable for the study of the creep buckling of axially compressed circular cylindrical shells was developed and built. With the aid of this equipment, thirty-one electroformed nickel cylinders of radius-to-thickness ratios ranging from 30.6 to 96.4 were tested at a temperature of 650F. The loading of each specimen was interrupted usually once, and in some cases twice, to permit an exact measurement of the creep deformations produced by the axial compression. Diagrams showing the deformed shapes of eight generators of each specimen are presented at two or three stages of the creep buckling process. Inspection of the figures reveals that specimens of this kind either buckle axisymmetrically, or begin the creep buckling process in a axisymmetric manner but change over to a multilobed pattern in later stages of the deformations. (Author).

Experimental Study of the Creep Buckling of Circular Cylindrical Shells Under an Axially Applied Compression

Experimental Study of the Creep Buckling of Circular Cylindrical Shells Under an Axially Applied Compression
Author: Stanford University. Department of Aeronautics and Astronautics
Publisher:
Total Pages: 100
Release: 1965
Genre:
ISBN:

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The use of electroforming to produce circular cylindrical shells is described. Examples are cited for which the use of electroforming provides opportunities for the development of unique specimen designs and test procedures. The use of a tapered creep specimen to generate isochronous stress-strain curves is described. The procedure developed provides a method for deriving basic creep relationships form data obtained from a small number of tests. The results of creep buckling tests on circular cylindrical shells under axial compression are presented. The basic features described are the end-shortening history, the variation of buckling load with time, and the post-buckling pattern which is developed. (Author).

Creep Buckling of Circular Cylindrical Shells in Pure Bending

Creep Buckling of Circular Cylindrical Shells in Pure Bending
Author: Stanford University. Department of Aeronautics and Astronautics
Publisher:
Total Pages: 62
Release: 1970
Genre: Buckling (Mechanics)
ISBN:

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The two simultaneous nonlinear first-order differential equations characterizing the problems that were derived by the senior author in a paper in 1956 and were at that time solved for a few cases by numerical integration are solved here analytically with the aid of a few simplifying assumptions. The very simple formula derived in this manner is used to compute the critical times of a series of shells tested in the laboratory. It is found that the formula predicts somewhat larger values for the critical time than the experimental results. (Author).

Interaction Between Axisymmetric and Nonsymmetric Creep Buckling of Circular Cylindrical Shells in Axial Compression

Interaction Between Axisymmetric and Nonsymmetric Creep Buckling of Circular Cylindrical Shells in Axial Compression
Author: Ilan M. Levi
Publisher:
Total Pages: 88
Release: 1970
Genre: Buckling (Mechanics)
ISBN:

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The purpose of the investigation described in this paper is the study of the effect of very small nonaxisymmetric initial deviations from the exact shape upon the deformations and the critical time of a thin-walled circular cylindrical shell which was manufactured with larger initial deviations of an axisymmetric type. The calculations are carried out in a manner similar to that of a recent paper by the senior author. It is assumed that all the deformations are due to nonlinear steady creep governed by Odqvist's law. In consequence of the nonlinearity of the constitutive equation and the use of three terms in the expressions for the deformations and the stresses the trigonometric calculations become so complicated that they must be carried out by means of the high-speed digital computer. For this purpose use is made of the 'REDUCE' program. It is found that in a particular case the critical time of the shell is reduced to about one-half the original value when one adds to the small axially symmetric component of the initial deviations a nonaxisymmetric component which is ten orders of magnitude smaller. The reduction in critical time is represented by a factor of about 1/15 when the amplitudes of the axisymmetric and nonaxisymmetric initial deviations are equal. (Author).

The Effect of Geometric Nonlinearities on the Creep Buckling of Axially Compressed Circular Cylindrical Shells

The Effect of Geometric Nonlinearities on the Creep Buckling of Axially Compressed Circular Cylindrical Shells
Author: Nicholas J. Hoff
Publisher:
Total Pages: 9
Release: 1974
Genre:
ISBN:

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A correction is given to the small-displacement theory of the axisymmetric creep buckling of axially compressed circular cylindrical shells. The correction takes into account the possibility of a non-axisymmetric elastic snap through in agreement with Koiter's theory after a sufficient amount of axisymmetric permanent deformation has developed in consequence of creep. (Author).