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The Effect Of Variations In The Creep Exponent N On The Buckling Of Circular Cylindrical Shells In Axial Compression
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Book Synopsis The Effect of Variations in the Creep Exponent N on the Buckling of Circular Cylindrical Shells in Axial Compression by : Terence Chase Honikman
Download or read book The Effect of Variations in the Creep Exponent N on the Buckling of Circular Cylindrical Shells in Axial Compression written by Terence Chase Honikman and published by . This book was released on 1970 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis The Effect of Variations in the Creep Exponent on the Buckling of Circular Cylindrical Shells in Axial Compression by : Terence Chase Honikman
Download or read book The Effect of Variations in the Creep Exponent on the Buckling of Circular Cylindrical Shells in Axial Compression written by Terence Chase Honikman and published by . This book was released on 1970 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1977 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Stability of Circular Cylindrical Shells by : N. Yamaki
Download or read book Elastic Stability of Circular Cylindrical Shells written by N. Yamaki and published by Elsevier. This book was released on 1984-02-01 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Buckling of Structures by : B. Budiansky
Download or read book Buckling of Structures written by B. Budiansky and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the written texts of the papers presented at a Symposium on Buckling of Structures held at Harvard University in June 1974. This symposium, one of several on various topics sponsored annually by the International Union of Theoretical and Applied Me chanics (IUTAM), was organized by a Scientific Committee consisting of B. Budiansky (Chairman), A. H. Chilver, W. T. Koiter, and A. S. Vol' mir. Participation was by invitation of the Scientific Committee, and specific lecturers were invited to speak in the areas of experimental research, buckling and post-buckling calculations, post-buckling mode interaction, plasticity and creep effects, dynamic buckling, stochastic problems, and design. A total of 29 lectures were delivered, including a general opening lecture by Professor Koiter, and there were 93 reg istered participants from 16 different countries. Financial support for the symposium was provided by IUTAM, in the form of partial travel support for a number of participants, and also by the National Science Foundation, the National Aeronautics and Space Administration, and the Air Force Office of Scientific Re search, for additional travel support and administrative expenses. Meeting facilities and services were efficiently provided by the Science Center of Harvard University, and administrative support was gen erously provided by the Division of Engineering and Applied Physics of Harvard University. The scientific chairman enjoyed the invaluable assistance of his colleagues Professors J. W. Hutchinson and J. L.
Book Synopsis Experimental Study of the Creep Buckling of Circular Cylindrical Shells Under an Axially Applied Compression by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Experimental Study of the Creep Buckling of Circular Cylindrical Shells Under an Axially Applied Compression written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1965 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Interaction Between Axisymmetric and Nonsymmetric Creep Buckling of Circular Cylindrical Shells in Axial Compression by : Ilan M. Levi
Download or read book Interaction Between Axisymmetric and Nonsymmetric Creep Buckling of Circular Cylindrical Shells in Axial Compression written by Ilan M. Levi and published by . This book was released on 1970 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Buckling of Circular Cylindrical Shells in Axial Compression by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Buckling of Circular Cylindrical Shells in Axial Compression written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1964 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: The buckling stress of axially compressed thin-walled circular cylindrical shells of finite length is derived from the classical small-deflection equations for nine possible combinations of edge support conditions. It turns out that the effect upon the critical stress of the length-todiameter ratio of the shell is small except in some cases when the shell is very short. On the other hand, changes in the details of the edge support can lead to reduction factors of 1/2 or less to be applied to the classical value of the critical stress.
Book Synopsis On the Creep Buckling of Axially Compressed Circular Cylindrical Shells by : Bernard Robert Schneider
Download or read book On the Creep Buckling of Axially Compressed Circular Cylindrical Shells written by Bernard Robert Schneider and published by . This book was released on 1966 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Creep Buckling and Post-buckling of Circular Cylindrical Shells Under Axial Compression by : Hans Obrecht
Download or read book Creep Buckling and Post-buckling of Circular Cylindrical Shells Under Axial Compression written by Hans Obrecht and published by . This book was released on 1976 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Creep Buckling of Relatively Thick Circular Cylindrical Shells Compressed Axially by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Creep Buckling of Relatively Thick Circular Cylindrical Shells Compressed Axially written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1973 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Creep Buckling of Cylindrical Shells Subjected to External Pressure by : Chester Earl Willey
Download or read book Creep Buckling of Cylindrical Shells Subjected to External Pressure written by Chester Earl Willey and published by . This book was released on 1969 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Methods in the Buckling Theory of Elastic Shells by : P. E. Tovstik
Download or read book Asymptotic Methods in the Buckling Theory of Elastic Shells written by P. E. Tovstik and published by World Scientific. This book was released on 2001 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Equations of thin elastic shell theory. 1.1. Elements of surface theory. 1.2. Equilibrium equations and boundary conditions. 1.3. Errors of 2D shell theory of Kirchhoff-Love type. 1.4. Membrane stress state. 1.5. Technical shell theory equations. 1.6. Technical theory equations in the other cases. 1.7. Shallow shells. 1.8. Initial imperfections. 1.9. Cylindrical shells. 1.10. The potential energy of shell deformation. 1.11. Problems and exercises -- 2. Basic equations of shell buckling. 2.1. Types of elastic shell buckling. 2.2. The buckling equations. 2.3. The buckling equations for a membrane state. 2.4. buckling equations of the general stress state. 2.5. Problems and exercises -- 3. Simple buckling problems. 3.1. Buckling of a shallow convex shell. 3.2. Shallow shell buckling modes. 3.3. The non-uniqueness of buckling modes. 3.4. A circular cylindrical shell under axial compression. 3.5. A circular cylindrical shell under external pressure. 3.6. Estimates of critical load. 3.7. Problems and examples -- 4. Buckling modes localized near parallels. 4.1. Local shell buckling modes. 4.2. Construction algorithm of buckling modes. 4.3. Buckling modes of convex shells of revolution. 4.4. Buckling of shells of revolution without torsion. 4.5. Buckling of shells of revolution under torsion. 4.6. Problems and exercises -- 5. Non-homogeneous axial compression of cylindrical shells. 5.1. Buckling modes localized near generatrix. 5.2. Reconstruction of the asymptotic expansions. 5.3. Axial compression and bending of cylindrical shell. 5.4. The influence of internal pressure. 5.5. Buckling of a non-circular cylindrical shell. 5.6. Cylindrical shell with curvature of variable sign. 5.7. Problems and exercises -- 6. Buckling modes localized at a point. 6.1. Local buckling of convex shells. 6.2. Construction of the buckling mode. 6.3. Ellipsoid of revolution under combined load. 6.4. Cylindrical shell under axial compression. 6.5. Construction of the buckling modes. 6.6. Problems and exercises -- 7. Semi-momentless buckling modes. 7.1. Basic equations and boundary conditions. 7.2. Buckling modes for a conic shell. 7.3. Effect of initial membrane stress resultants. 7.4 Semi-momentless buckling modes of cylindrical shells. 7.5. Problems and exercises -- 8. Effect of boundary conditions on semi-momentless modes. 8.1. Construction algorithm for semi-momentless solutions. 8.2. Semi-momentless solutions. 8.3. Edge effect solutions. 8.4. Separation of boundary conditions. 8.5. The effect of boundary conditions on the critical load. 8.6. Boundary conditions and buckling of a cylindrical shell. 8.7. Conic shells under external pressure. 8.8. Problems and exercises -- 9. Torsion and bending of cylindrical and conic shells. 9.1. Torsion of cylindrical shells. 9.2. Cylindrical shell under combined loading. 9.3. A shell with non-constant parameters under torsion. 9.4. Bending of a cylindrical shell. 9.5. The torsion and bending of a conic shell. 9.6. Problems and exercises -- 10. Nearly cylindrical and conic shells. 10.1. Basic relations. 10.2. Boundary problem in the zeroth approximation. 10.3. Buckling of a nearly cylindrical shell. 10.4. Torsion of a nearly cylindrical shell. 10.5. Problems and exercises -- 11. Shells of revolution of negative Gaussian curvature. 11.1. Initial equations and their solutions. 11.2. Separation of the boundary conditions. 11.3. Boundary problem in the zeroth approximation. 11.4. Buckling modes without torsion. 11.5. The case of the neutral surface bending. 11.6. The buckling of a torus sector. 11.7. Shell with Gaussian curvature of variable sign. 11.8. Problems and exercises -- 12. Surface bending and shell buckling. 12.1. The transformation of potential energy. 12.2. Pure bending buckling mode of shells of revolution. 12.3. The buckling of a weakly supported shell of revolution. 12.4. Weakly supported cylindrical and conical shells. 12.5. Weakly supported shells of negative Gaussian curvature. 12.6. Problems and exercises -- 13. Buckling modes localized at an edge. 13.1. Rectangular plates under compression. 13.2. Cylindrical shells and panels under axial compression. 13.3. Cylindrical panel with a weakly supported edge. 13.4. Shallow shell with a weak edge support. 13.5. Modes of shells of revolution localized near an edge. 13.6. Buckling modes with turning points. 13.7. Modes localized near the weakest point on an edge. 13.8. Problems and exercises -- 14. Shells of revolution under general stress state. 14.1. The basic equations and edge effect solutions. 14.2. Buckling with pseudo-bending modes. 14.3. The cases of significant effect of pre-buckling strains. 14.4. The weakest parallel coinciding with an edge. 14.5. Problems and exercises.
Book Synopsis Collected Papers on Instability of Shell Structure, 1962 by :
Download or read book Collected Papers on Instability of Shell Structure, 1962 written by and published by . This book was released on 1962 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Creep Bending and Buckling of Thin Circular Cylindrical Shells by :
Download or read book Creep Bending and Buckling of Thin Circular Cylindrical Shells written by and published by . This book was released on 1960 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interaction Between Axisymmetric and Multilobed Creep Buckling of Circular Cylindrical Shells in Axial Compression by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Interaction Between Axisymmetric and Multilobed Creep Buckling of Circular Cylindrical Shells in Axial Compression written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1973 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis The Effect of Axial Constraint on the Instability of Thin Circular Cylindrical Shells Under Uniform Axial Compression by : Josef Singer
Download or read book The Effect of Axial Constraint on the Instability of Thin Circular Cylindrical Shells Under Uniform Axial Compression written by Josef Singer and published by . This book was released on 1961 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of axial elastic restrain on the instability of a circular cylindrical shell under uniform axial compression is analysed by a Rayleigh Ritz approach within the bounds of linear theory. The effect is calculated for a wide range of parameters and design curves are presented for the percentage increase in critical load. The analysis is carried out for restraints which are active from the beginning of loading and for such which come into action only at the onset of buckling. (Author).
