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 Clamped Shallow Spherical Shells written by Bernard Budiansky and published by . This book was released on 1959 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Buckling of Clamped Shallow Spherical Shells Under Uniform Pressure written by Robert Reid Parmerter and published by . This book was released on 1963 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of the buckling of clamped spherical shells under uniform external pressure is examined. A theoretical study is carried out to determine if asymmetrical modes participate in the snap-through process. It is shown that asymmetrical buckling does occur in a certain range of a geometric parameter, at loads which are significantly less than those predicted from symmetrical theory. Additional effects can be expected if the shell has symmetrical or asymmetrical imperfections, however, the present study considers only the perfect shell. Experiments were carried out with copper shells fabricated by an electroforming process. The initial imperfections in the test specimens were of the order of 1/10 of the thickness. The buckling loads of these shells exeeded the loads which have previously been reported by as much as a factor of two at higher values of the geometrical parameter. Good agreement is found between theory and experiment, and with the recently published asymmetrical theory of Huang. (Author).
Download or read book ASME 71 APM 9 written by Nuri Akkaş and published by . This book was released on 1971 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Inelastic Buckling of Shallow Spherical Shells Under External Pressure written by B. Sureshwara and published by . This book was released on 1971 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the inelastic effect on the buckling load of a clamped shallow spherical shell subjected to an external pressure is investigated. A variational principle derived from a set of rate equilibrium equations and expressed in terms of Lagrangian variables is used to determine the critical pressure. This pressure is determined by a step-by-step numerical process based on a Rayleigh-Ritz technique. The spherical shell is idealized as a structure composed of four thin load-carrying layers of equal thickness and made of a work hardening material. The numerical results of the present analysis compare favorably with those of available experimental work. (Author).
Download or read book Axisymmetrical Creep Buckling of Clamped Shallow Spherical Shells written by N. C. Huang and published by . This book was released on 1963 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper consider the effect of viscoelastic properties of shells on the axisymmetrical buckling is considered. For viscoelastic shells under constant uniform pressure, the average vertical deflection increases with time. When time reaches a critical value t sub cr, the rate of increase of the average vertical deflection becomes very high, which indicates the initiation of snapping of the shell at this instant. After snapping, the shell continues to deform. The object is to find the critical time t sub cr for different pressures and for shells with different geometrical parameters. The pressure on shells is considered to be applied either by pressurized air in a chamber of large volume or by an incompressible fluid. For the latter loading condition, the average deflection remains constant and the applied pressure relaxes. In this paper, the relaxation of external pressure of this type is analyzed, as well as prescribed pressure increases. (Author).
Download or read book Buckling of Clamped Deep Spherical Shells written by N. C. Huang and published by . This book was released on 1971 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper deals with the buckling of clamped elastic deep spherical shells subject to a uniformly distributed external pressure. It is assumed that the prebuckling deformation of the shell is so small that the linear shell theory can be employed in the analysis. It is also assumed that the deflection pattern of the shell is shallow and the second order terms of the deflection slopes in the expression of potential energy can thus be neglected. Series solutions of the prebuckling axisymmetrical deformation are obtained. Based on the asymmetrical bifurcation with shallow buckling modes, buckling of the shell is then studied. The buckling load is expressed as a Rayleigh quotient and in turn solved by Rayleigh-Ritz method. (Author).
Download or read book Inelastic Buckling of Shallow Spherical Shells written by Lawrence H. N. Lee and published by . This book was released on 1970 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory and a numerical procedure are presented for the determination of the inelastic axisymmetric buckling pressure of a clamped shallow spherical shell made of work hardening materials. A modified incremental theory of plasticity on the stress-strain relationships expressed in terms of Kirchhoff stress and Green strain rates is employed. A variational principle, in Lagrangian descriptions, in conjunction with the Rayleigh-Ritz technique is used to determine the buckling pressure. A comparison of the theoretical predictions obtained numerically by digital computer with available experimental results is made. (Author).
Download or read book Buckling of Shallow Spherical Shells Under External Pressure written by Edward L. Reiss and published by Sagwan Press. This book was released on 2015-08-23 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Plastic Buckling of Thin Shallow Spherical Shells written by Robert S. Roth and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of plasticity on the buckling load of a shallow spherical shell cap which is clamped about its edge and subjected to an external pressure was investigated. The shell is a sandwich idealization of a uniform shell and is made of a Prandtl-Reuss material. The problem of finding the buckling load of the cap is solved by using a variational principle written in terms of displacement rates and the current state of stress in the shell. A Rayleigh-Ritz technique is used to obtain the final solution to the problem and regions of loading and unloading are determined throughout the shell. The results of the study are in agreement with the elastic solutions which have already been determined and with studies of the plastic collapse of a spherical cap made f a rigid perfectly plastic material. The results bridge the gap which now exists between these two extreme situations. (Author).
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 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 Computerized buckling analysis of shells written by D. Bushnell and published by Springer Science & Business Media. This book was released on 1985-09-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes the work performed by Lockheed Palo Alto Research Labora tory, Palo Alto, California 94304. The work was sponsored by Air Force Office of Scientific Research, Bolling AFB, Washington, D. C. under Grant F49620-77-C-0l22 and by the Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Wright-Patterson AFB, Ohio under Contract F3361S-76-C-31OS. The work was completed under Task 2307Nl, "Basic Research in Behavior of Metallic and Composite Components of Airframe Structures". The work was admini stered by Lt. Col. J. D. Morgan (AFOSR) and Dr. N. S. Khot (AFWAL/FIBRA). The contract work was performed between October 1977 and December 1980. The technical report was released by the Author in December 1981. Preface Many structures are assembled from parts which are thin. For example, a stiffened plate or cylindrical panel is composed of a sheet the thickness of which is small com pared to its length, breadth, and stiffener- spacing, and stiffeners the thickness of which is small compared to their _ heights and lengths. These assembled structures, loaded in compression, can buckle overall, that is sheet and stiffeners can collapse together in a general instability mode; the sheet can buckle locally between stiffeners; the stiffeners can cripple; and a variety of complex buckling interactions can occur involving local and overall deformations of both sheet and stiffeners. More complex, built-up structures can buckle in more complex and subtle ways.
Download or read book Buckling and Postbuckling of Beams Plates and Shells written by M. Reza Eslami and published by Springer. This book was released on 2017-11-03 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.
Download or read book Feasibility Study of Shell Buckling Analysis Using the Modified Structure Method written by Gerald A. Cohen and published by . This book was released on 1972 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modified structure method, which is based on Koiter's theory of imperfections, was used to calculate approximate buckling loads of several shells of revolution. The method does not appear to be practical for shells because, in many cases, the prebuckling nonlinearity may be too large to be treated accurately as a small imperfection.
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 Computational Fluid and Solid Mechanics 2003 written by K.J Bathe and published by Elsevier. This book was released on 2003-06-02 with total page 2485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics.Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: - The automatic solution of mathematical models - Effective numerical schemes for fluid flows - The development of an effective mesh-free numerical solution method - The development of numerical procedures for multiphysics problems - The development of numerical procedures for multiscale problems - The modelling of uncertainties - The analysis of complete life cycles of systems - Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features - Bridges the gap between academic researchers and practitioners in industry - Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda - Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis
