Download or read book Low Buckling Stresses of Axially Compressed Circular Cylindrical Shells of Finite Length written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1964 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact solutions are derived of the classical differential equations defining the deformations of axially compressed thin-walled circular cylindrical shells. The end conditions along the circular edges are assumed as the vanishing of (1) the radial displacement; (2) of the longitudinal bending moment; (3) of the variation in the axial normal stress, and (4) of the circumferential membrane shear stress. Under these conditions of simple support the critical value of the uniformly distributed axial normal stress is one-half the classical critical value. (Author).
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.
Download or read book Perplexing Behavior of Thin Cylindrical Shells in Axial Compression written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1966 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buckling of Circular Cylindrical Shells Under External Pressure written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1965 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A set of uncoupled differential equations of equilibrium based on Sanders' assumptions was developed which includes the effects of the prestresses. Both the Sanderstype equations and Donnell's equations are solved for the buckling pressure of shells under laterial and hydrostatic pressure. It is found that restriction of the axial displacement has considerable influence upon the buckling pressure. Moreover, the more rigorous Sanders-type equations yield lower buckling pressures than Donnell's equations. (Author).
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:
Download or read book Buckling of Axially Compressed Circular Cylindrical Shells at Stresses Smaller Than the Classical Critical Value written by Nicholas John Hoff and published by . This book was released on 1964 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed-form solutions are given of the linear Donnell equations defining the buckling of thin-walled circular cylindrical shells subjected to uniform axial compression. In addition to the classical simple support conditions requiring the vanishing of the radial displacement, the axial bending moment resultant, the axial additional stress and the circumferential displacement, three other, equally justifiable, simple support conditions are defined and studied in the case of the semi-infinite shell. Two of them yield buckling stresses amounting to about one-half the classical critical stress. (Author).
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.
Download or read book Some Recent Studies of the Buckling of Thin Shells written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1969 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: After a brief summary of the development of present knowledge of the buckling process of thin shells, the results of recent investigations are discussed in some detail. In particular, information is given on analyses of the maximum stress a circular cylindrical shell of infinite or finite length can carry in axial compression in the presence of an initial deviation of the shell wall from the perfect cylindrical shape, and on the number of circumferential waves into which finite cylindrical shells buckle. The maximum external pressure is calculated that can be supported by a complete spherical shell in the presence of known deviations of its wall from the perfect spherical shape. The results of recent experiments on cylindrical and complete spherical shells are also presented. Recommendations are made for the practical calculation of the buckling stresses of circular cylindrical shells and spherical shells. (Author).
Download or read book Perturbation Solutions for the Buckling Problem of Axially Compressed Thin Cylinder Shells written by Clive L. Dym and published by . This book was released on 1966 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study is made of the effect of initial deviations on the load carrying capacity of thin circular cylindrical shells under uniform axial compression. A perturbation expansion is used to reduce the nonlinear equations of von Karman-Donnell to an infinite set of linear equations, of which only the first few need be solved to obtain a reasonable accurate solution. The results for both infinite shells and shells of finite length indicate that a small imperfection can sharply reduce the maximum load that a thin-walled cylinder will sustain. In addition, for a particular set of boundary conditions, it is shown that the effect of the length for a finite shell, is small. (Author).
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 Buckling of Composite Cylindrical Shells Under Axial and Radial Loading written by Ming Min Lei and published by . This book was released on 1968 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Postbuckling Equilibrium of Axially Compressed Circular Cylindrical Shells written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1965 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earlier numerical solutions of the von Karman-Donnell large-displacement equations for thin circular cylindrical shells have been extended by considering larger numbers of terms in the double Fourier series representing the radial displacements after buckling. In the most comprehensive one of the calculations whose results are presented here a total potential energy expression consisting of about 1100 terms was minimized with respect to 16 unknowns. The results of the computations as well as theoretical considerations indicate that the solution for long shells of the von Karman-Donnell equations with the aid of the von Karman-Tsien Leggett procedure leads in the limit to the trivial solution in which the amplitude of the displacements tends to zero, the number of waves around the circumference tends to infinity and the average axial compressive stress capable of maintaining equilibrium in the post-buckling state tends to zero. (Author).
Download or read book Buckling of Thin Metal Shells written by J.G. Teng and published by CRC Press. This book was released on 2006-06-28 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thin-walled metal shell structures are highly efficient in their use of material, but they are particularly sensitive to failure by buckiling. Many different forms of buckling can occur for different geometries and different loading conditions. Because this field of knowledge is both complex and industrially important, it is of great interest and concern in a wide range of industries. This book presents a compilation and synthesis of a wealth of research, experience and knowledge of the subject. Information that was previously widely scattered throughout the literature is assembled in a concise and convenient form that is easy to understand, and state-of-the-art research findings are thoroughly examined. This book is useful for those involved in the structural design of silos, tanks, pipelines, biodigestors, chimneys, towers, offshore platforms, aircraft and spacecraft. Buckling of Thin Metal Shells is essential reading for designers, researchers and code writers involved with thin-walled metal shell structures.
Download or read book Influence of Edge Conditions on the Stability of Axially Compressed Cylindrical Shells written by Bo O. Almroth and published by . This book was released on 1965 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent investigations by Stein and by Fischer on the influence of edge conditions on the critical load of cylindrical shells are here extended to cover six additional combinations of boundary conditions. The results show that drastic reductions of the critical load for cylinders with lateral support of the edges are obtained only if the edges are free in the tangential direction. For other boundary conditions, this reduction is never more than about 20 percent. Consequently, the results of this investigation alone cannot explain the well-known discrepancy between theory and test data. However, the importance of the choice of boundary conditions for practical analysis is clearly demonstrated.
Download or read book Effect of Edge Restraint on the Buckling of Axially Compressed Circular Cylindrical Shells written by L. W. Rehfield and published by . This book was released on 1970 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad analytical study of the effect of edge restraint on the buckling stress of geometrically perfect, axially compressed circular cylindrical shells, based on linear elastic theory, is presented. An overall evaluation of this effect is made by studying the 16 limiting cases, 7 of which are studied for the first time, it is found that 8 permit buckling to occur at stresses less than the classical theoretical value of theory and experiments indicate that the effect of shell length on the buckling stress can usually be disregarded is used in the analysis. This fact suggests that shells may be assumed to be semi-infinite; as a consequence, formulas for buckling stresses are determined in essentially closed form. (Author-PL).
Download or read book Further Nonlinear Considerations in the Postbuckling of Axially compressed Circular Cylindrical Shells written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1964 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculation of the Load Carrying Capacity of Initially Slightly Imperfect Thin Walled Circular Cylindrical Shells of Finite Length written by K. Y. Narasimhan and published by . This book was released on 1967 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear partial differential equations of von Karman and Donnell governing the deformations of initially imperfect cylindrical shells are reduced to a consistent set of ordinary differential equations. A numerical procedure is then developed for the solution of these equations together with the associated boundary conditions. This method is used to determine the number of waves at buckling as well as the load carrying capacity of imperfect cylindrical shells of finite length subjected to uniform axial compression in the presence of the least amount of restraint along the simply supported boundaries. It is found that details of the boundary conditions have little effect on the number of waves into which the shell buckles around the circumference. This number is determined essentially by the length-to-radius and radius-to-thickness ratios. The absence of an edge restraint to circumferential displacements reduces the classical value of the buckling load by a factor of about two as compared to the classical value. On the other hand, shells with these boundary conditions are less sensitive to initial imperfections in the shape, and thus the maximal load supported in the presence of unavoidable initial deviations can be the same for shells with and without a restraint to circumferential displacements along the edges. (Author).
