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The Effect Of Initial Axisymmetric Shape Imperfections On The Buckling Behaviour Of Circular Cylindrical Shells Under Axial Compression
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Book Synopsis The Effect of Initial Axisymmetric Shape Imperfections of the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression by : D.B. Muggeridge
Download or read book The Effect of Initial Axisymmetric Shape Imperfections of the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression written by D.B. Muggeridge and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effect of Initial Axisymmetric Shape Imperfections on the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression by : D. B. Muggeridge
Download or read book The Effect of Initial Axisymmetric Shape Imperfections on the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression written by D. B. Muggeridge and published by . This book was released on 1969 with total page 32 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 The Effect of a Local Axisymmetric Imperfection on the Buckling Behaviour of a Circular Cylindrical Shell Under Axial Compression by : J. W. Hutchinson
Download or read book The Effect of a Local Axisymmetric Imperfection on the Buckling Behaviour of a Circular Cylindrical Shell Under Axial Compression written by J. W. Hutchinson and published by . This book was released on 1970 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis UTIAS Report by : University of Toronto. Institute for Aerospace Studies
Download or read book UTIAS Report written by University of Toronto. Institute for Aerospace Studies and published by . This book was released on 1976 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effect of Axisymmetric Initial Imperfections on the Vibrations of Cylindrical Shells Under Axial Compression by : Aviv Rosen
Download or read book The Effect of Axisymmetric Initial Imperfections on the Vibrations of Cylindrical Shells Under Axial Compression written by Aviv Rosen and published by . This book was released on 1973 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vibrations of a cylindrical shell with an axisymmetric initial imperfection and axial preload are studied. Small asymmetric harmonic vibrations are superposed on the basic static axisymmetric equilibrium and the frequency of these vibrations is evaluated. The analysis is based on the nonlinear equations of shallow shell theory, and follows closely an earlier stability investigation by Koiter. The study is restricted to initial imperfections similar to an axisymmetric buckling mode of a perfect cylindrical shell and represents a first approximation only. Such imperfections exhibit a strong influence on the frequency of the vibrations. The possible implications of this effect are discussed. (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 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 Handbook of Structural Stability by : George Gerard
Download or read book Handbook of Structural Stability written by George Gerard and published by . This book was released on 1959 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effect of Initial Imperfections on the Buckling Stress of Cylindrical Shells by : Charles D. Babcock
Download or read book The Effect of Initial Imperfections on the Buckling Stress of Cylindrical Shells written by Charles D. Babcock and published by . This book was released on 1963 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perturbation Solutions for the Buckling Problem of Axially Compressed Thin Cylindrical Shells by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Perturbation Solutions for the Buckling Problem of Axially Compressed Thin Cylindrical Shells written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1966 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Buckling of Cylindrical Shells with Axisymmetric Toroidal Initial Imperfections by : Clark E. Beck
Download or read book Buckling of Cylindrical Shells with Axisymmetric Toroidal Initial Imperfections written by Clark E. Beck and published by . This book was released on 1973 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some recent advances in thin shell buckling theory which tend to explain the discrepancy between experiment and theory are reviewed. The results of a digital computer study to determine the effect of three discrete axisymmetric imperfections on the buckling load of two specific circular cylindrical shells are presented and discussed. The shells were 40 inches long with wall thicknesses of 0.02 inch and radii of five and ten inches. Initial imperfection amplitudes considered were 0.005, 0.01 and 0.02 inch. (Autho).
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 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 On the Influence of Initial Geometric Imperfections on the Buckling and Postbuckling Behavior of Fiber-reinforced Cylinderical Shells Under Uniform Axial Compression by : N. S. Khot
Download or read book On the Influence of Initial Geometric Imperfections on the Buckling and Postbuckling Behavior of Fiber-reinforced Cylinderical Shells Under Uniform Axial Compression written by N. S. Khot and published by . This book was released on 1968 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of initial geometric imperfections on the buckling and postbuckling behavior of composite cylindrical shells subjected to uniform axial compression is studied in this report. The solution is obtained by employing von Karman-Donnell nonlinear strain-displacement relations and the principle of stationary potential energy. Numerical results are given for various fiber orientations in the three-layer shell consisting of either glass-epoxy or boron-epoxy composites, with different initial imperfections. Results indicate that the boron-epoxy composite shells are less imperfection sensitive than the glass-epoxy composite shells. Isotropic shells are found to be more imperfection sensitive than composite shells. It is noticed that the increase or decrease in the classical buckling load with change in fiber orientation is generally accompanied by a decrease or increase in imperfection sensitivity of the shell.
Book Synopsis C.A.S.I. Transactions by : Canadian Aeronautics and Space Institute
Download or read book C.A.S.I. Transactions written by Canadian Aeronautics and Space Institute and published by . This book was released on 1968 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Influence of Periodic Axisymmetric Imperfections of Various Wavelengths on the Buckling Load of a Cylindrical Shell in Axial Compression by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Influence of Periodic Axisymmetric Imperfections of Various Wavelengths on the Buckling Load of a Cylindrical Shell in Axial Compression written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1971 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Koiter's well-known buckling analysis of cylindrical shells with periodic axisymmetric imperfections yields a solution which is valid for imperfection of different wavelengths and amplitudes. Numerical calculations were carried out to evaluate several of these cases. Of particular interest are imperfections of the wavelength which are larger than the one considered in Koiter's original analysis. In such cases, the validity of the solution may be extended to imperfection amplitudes of a much larger order of magnitude hitherto considered. The numerical results are plotted and tabulated. A rederivation of Koiter's analysis is added in an appendix together with a brief description of the computational method that was used. (Author).
