Effect Of Geometric Nonlinearities On The Creep Buckling Time Of Axially Compressed Circular Cylindrical Shells
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Author | : Stanford University. Department of Aeronautics and Astronautics |
Publisher | : |
Total Pages | : 18 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download Effect of Geometric Nonlinearities on the Creep Buckling Time of Axially Compressed Circular Cylindrical Shells Book in PDF, Epub and Kindle
Author | : Nicholas J. Hoff |
Publisher | : |
Total Pages | : 9 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download The Effect of Geometric Nonlinearities on the Creep Buckling of Axially Compressed Circular Cylindrical Shells Book in PDF, Epub and Kindle
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).
Author | : Nicholas John Hoff |
Publisher | : |
Total Pages | : 10 |
Release | : 1974 |
Genre | : Buckling (Mechanics) |
ISBN | : |
Download The Effect of Geometric Nonlinearities on the Creep Bucling Time of Axially Compressed Circular Cylindrical Shells Book in PDF, Epub and Kindle
Author | : Ilan M. Levi |
Publisher | : |
Total Pages | : 88 |
Release | : 1970 |
Genre | : Buckling (Mechanics) |
ISBN | : |
Download Interaction Between Axisymmetric and Nonsymmetric Creep Buckling of Circular Cylindrical Shells in Axial Compression Book in PDF, Epub and Kindle
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).
Author | : Bernard Robert Schneider |
Publisher | : |
Total Pages | : 104 |
Release | : 1966 |
Genre | : Buckling (Mechanics) |
ISBN | : |
Download On the Creep Buckling of Axially Compressed Circular Cylindrical Shells Book in PDF, Epub and Kindle
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.
Author | : Stanford University. Department of Aeronautics and Astronautics |
Publisher | : |
Total Pages | : 34 |
Release | : 1973 |
Genre | : Buckling (Mechanics) |
ISBN | : |
Download Creep Buckling of Relatively Thick Circular Cylindrical Shells Compressed Axially Book in PDF, Epub and Kindle
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).
Author | : Stanford University. Department of Aeronautics and Astronautics |
Publisher | : |
Total Pages | : 100 |
Release | : 1965 |
Genre | : |
ISBN | : |
Download Experimental Study of the Creep Buckling of Circular Cylindrical Shells Under an Axially Applied Compression Book in PDF, Epub and Kindle
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).
Author | : Terence Chase Honikman |
Publisher | : |
Total Pages | : 192 |
Release | : 1970 |
Genre | : Buckling (Mechanics) |
ISBN | : |
Download The Effect of Variations in the Creep Exponent N on the Buckling of Circular Cylindrical Shells in Axial Compression Book in PDF, Epub and Kindle
The purpose of the investigation is to determine the effect of creep on the load carrying capability of axially symmetric circular cylinders when subjected to uniform axial compression. In particular, the effect of variation of the creep exponent in Odgvist's bi-axial creep law for creep, is investigated. The analysis of the problem is undertaken in the cases in which the creep exponent has the value one and five. Closed form analytical results are presented for the cases in which the creep exponent has the value one, three, and five. Two numerical procedures are developed. The first generates the governing equations of the creep problem symbolically, while the second solves these equations. Numerical results are presented for the cases in which the creep exponent has the value three, five, seven, and nine. The numerical results are compared with the analytical results. While the numerical programs offer a means of further extending the range of values of the creep exponent, this is carried out instead by two empirical methods, which are based on the numerical results already obtained. The case in which the creep exponent becomes unbounded is considered analytically. Dimensionless plots of radial displacement versus time are presented for each value of the creep exponent, and for a variety of values of initial imperfections in the shell wall. A simple graphical method is developed by which the plot for any given value of the initial imperfection may be obtained from another similar plot for which the value of the initial imperfection is smaller than the given value. (Author).
Author | : Stanford University. Department of Aeronautics and Astronautics |
Publisher | : |
Total Pages | : 158 |
Release | : 1973 |
Genre | : Buckling (Mechanics) |
ISBN | : |
Download Interaction Between Axisymmetric and Multilobed Creep Buckling of Circular Cylindrical Shells in Axial Compression Book in PDF, Epub and Kindle
The present theoretical investigation studies the effect of small multilobed initial deviations from the exact shape upon the deformations and the critical time of a thin-walled circular cylindrical shell which was manufactured with initial axisymmetric deformations. To facilitate the analytical work, the actual solid wall of the shell is imagined to be replaced by an equivalent sandwich wall. The general equilibrium equations derived for shallow shells are expressed in terms of the stresses and deviations corresponding to the equivalent sandwich model. The radial displacement as well as the meridional, circumferential and membrane shear stresses are expressed by finite Fourier series for each face of the sandwich model. A closed form solution is found for the multilobed deformation rates and for the critical time as well. A numerical integration of the deformation rates shows, for a given cylinder, that the multilobed creep buckling deformations grow much faster than the axisymmetric. (Modified author abstract).
Author | : N. Yamaki |
Publisher | : Elsevier |
Total Pages | : 573 |
Release | : 1984-02-01 |
Genre | : Technology & Engineering |
ISBN | : 0444599118 |
Download Elastic Stability of Circular Cylindrical Shells Book in PDF, Epub and Kindle
The object of this book is to clarify the whole aspect of the basic problems concerning the elastic stability of of circular cylindrical shells under typical loading conditions. The book deals with buckling, postbuckling and initial postbuckling problems under one of the three fundamental loads, that is, torsion, pressure and compression. The emphases are placed on the accurate analysis and comprehensive numeral results for the buckling problem, experimental verification of the theoretical analysis for the postbuckling problem and clarification of the range of applicability of the perturbation method for the analysis of initial postbuckling behaviors and imperfection sensitivity. The problems under typical combined loads as well as the influence of the contained liquid are also clarified.