Download or read book Effect of Geometrical Imperfection on the Elastic Buckling of Thin Shallow Spherical Shells written by Wen Liang Chen and published by . This book was released on 1959 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Note written by and published by . This book was released on 1970 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Collected Papers on Instability of Shell Structures 1962 written by Langley Research Center and published by . This book was released on 1962 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytical Investigation of the Effect of Material and Geometric Imperfections on Buckling Strength of Spherical Shells written by Rama Krishna Challa and published by . This book was released on 1995 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Collected Papers on Instability of Shell Structures 1962 written by NASA Symposium on Instability of Shell Structures and published by . This book was released on 1962 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book The Axisymmetric Buckling of Initially Imperfect Complete Spherical Shells written by Tatsuzo Koga and published by . This book was released on 1968 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theoretical investigation of the axisymmetric buckling of complete thin-walled spherical shells under uniform external pressure is undertaken to determine the effect of axisymmetric initial imperfections. In the analysis, the complete spherical shell is divided into two parts; the shallow cap in which the initial imperfection exists, and the remaining portion of the shell most of which deforms in simple contraction. The rotation of the meridian of the cap is assumed in the form of a polynomial function. Four matching conditions are enforced at the juncture of the cap and remainder. The total potential energy of the complete spherical shell is minimized in accordance with the Rayleigh-Ritz approximation method. Two types of initial imperfections are studied; one is an axisymmetric dimple, and the other is a spherical region whose radius of curvature is greater than that of the perfect spherical shell. The maximal values of the pressure parameter rho in the equilibrium state before snap-through were calculated for various values of the geometric parameter lambda, which is proportional to the angular extent of the imperfection for a given radius-to-thickness ratio, and the imperfection amplitude parameter delta, which is the ratio of the initial deviation of the shell mid-surface at the axis of rotation to the wall-thickness. The results of numerical computations show that for all values of delta the lowest buckling pressure is reached when lambda is about 4. (Author).
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:
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.
Download or read book Newton Raphson written by Harry G. Schaeffer and published by . This book was released on 1970 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The feasibility of utilizing mathematical programing techniques for determining stable equilibrium states of nonlinear structural systems is explored. The physical problem chosen for evaluation of this methodology was the nonlinear behavior of a shallow spherical shell subjected to uniform pressure. The procedure found most useful was a hybrid method consisting principally of a generalized Newton-Raphson technique with intermittent application of the conjugate-gradient search technique. The variation of buckling pressure with changes in edge restraint and shell geometry is found for a uniformly loaded shell.
Download or read book Structural Stability of Conical and Spherical Thin Shells written by W. Thielemann and published by . This book was released on 1961 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buckling of Shells written by Ekkehard Ramm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thin shells are very popular structures in many different branches of engineering. There are the domes, water and cooling towers, the contain ments in civil engineering, the pressure vessels and pipes in mechanical and nuclear engineering, storage tanks and platform components in marine and offshore engineering, the car bodies in the automobile industry, planes, rockets and space structures in aeronautical engineering, to mention only a few examples of the broad spectrum of application. In addition there is the large applied mechanics group involved in all the computational and experimental work in this area. Thin shells are in a way optimal structures. They play the role of·the "primadonnas" among all kinds of structures. Their performance can be extraordinary, but they can also be very sensitive. The susceptibility to buckling is a typical example. David Bushnell says in his recent review paper entitled "Buckling of Shells - Pitfall for DeSigners": "To the layman buckling is a mysterious, perhaps even awe inspiring phenomenon that transforms objects originally imbued with symmetrical beauty into junk".
Download or read book Influence of Imperfections on Mechanism of Buckling of Shallow Spherical Shells written by R. M. Evan-Iwanowski and published by . This book was released on 19?? with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report contains the results of a theoretical and experimental investigation of the influence of initial geometrical imperfections, imperfect boundary conditions and imperfections in loading on stability of shallow spherical shells subjected to uniform pressure, concentrated loads and a combination of uniform pressure and concentrated loads. The initial geometrical imperfections were considered to be axisymmetric having a form of damped waves. The initial boundaries imperfections were considered to be relaxed constraints of the radial forces at the instant of buckling. The imperfections in loadings were considered to be the eccentricities in concentrated loads. Correctly argued theory of the influence of initial imperfections on stability of shells has been verified theoretically and experimentally. Moreover, a complete agreement was obtained between the theory and experimentation within the investigated class of geometrical imperfections. (Author).
Download or read book Buckling and Failure of Compression Loaded Composite Cylindrical Shells with Geometric and Material Imperfections written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-05-29 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The results of an experimental and numerical study of the effects of initial imperfections on the buckling response and failure of unstiffened thin-walled compression-loaded graphite-epoxy cylindrical shells are presented. The shells considered in the study have six different orthotropic or quasi-isotropic shell-wall laminates and two different shell-radius-to-thickness ratios. The numerical results include the effects of geometric shell-wall mid-surface imperfections, shell-wall thickness variations, local shell-wall ply-gaps associated with the fabrication process, shell-end geometric imperfections, nonuniform end loads, and the effects of elastic boundary conditions. Selected cylinder parameter uncertainties were also considered. Results that illustrate the effects of imperfections and uncertainties on the nonlinear response characteristics, buckling loads and failure the shells are presented. In addition, a common failure analysis is used to predict material failures in the shells.Hilburger, Mark W. and Starnes, James H., Jr.Langley Research CenterBUCKLING; DEFECTS; COMPOSITE MATERIALS; FAILURE ANALYSIS; CYLINDRICAL SHELLS; ISOTROPY; SHELLS (STRUCTURAL FORMS); BOUNDARY CONDITIONS; LOADS (FORCES)
Download or read book Buckling of Shallow Spherical Shells Under External Pressure Classic Reprint written by Edward L. Reiss and published by Forgotten Books. This book was released on 2018-02-07 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Buckling of Shallow Spherical Shells Under External Pressure The pressure to which the shell jumps is called the final buckling load. The purpose of this paper is to determine the values of por for various shell configurations. A series of experiments have been conducted by Kaplan and Fung (1) on clamped, shallow, Spherical shells under uniform external pressure. Not only were the initial and final buckling loads determined, but measurements were made of the vertical deflections at various points of the shell for several different values of the pressure. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Buckling of Spherical Sandwich Shells written by Mao Sen Lin and published by . This book was released on 1969 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
