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 Elastic and Plastic Buckling of Spherical Shells Under Various Loading Conditions written by Shahin Nayyeri Amiri and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical shells are widely used in aerospace, mechanical, marine, and other industrial applications. Accordingly, the accurate determination of their behavior becomes more and more important. One of the most important problems in spherical shell behavior is the determination of buckling loads either experimentally or theoretically. Therefore, in this study some elastic and plastic buckling problems associated with spherical shells are investigated. The first part of this research study presents the analytical, numerical, and experimental results of moderately thick and thin hemispherical metal shells into the plastic buckling range illustrating the importance of geometry changes on the buckling load. The hemispherical shell is rigidly supported around the base circumference against horizontal translation and the load is vertically applied by a rigid cylindrical boss (Loading actuator) at the apex. Kinematics stages of initial buckling and subsequent propagation of plastic deformation for a rigid-perfectly plastic shell models are formulated on the basis of Drucker- Shield's limited interaction yield condition. The effect of the radius of the boss used to apply the loading, on the initial and subsequent collapse load is studied. In the numerical model, the material is assumed to be isotropic and linear elastic perfectly plastic without strain hardening obeying the Tresca or Von Mises yield criterion. Finally, the results of the analytical solution are compared and verified with the numerical results using ABAQUS software and experimental findings. Good agreement is observed between the load-deflection curves obtained using three different fundamental approaches. In the second part, the Southwell's nondestructive method for columns is analytically extended to spherical shells subjected to uniform external pressure acting radially. Subsequently finite element simulation and experimental work shown that the theory is applicable to spherical shells with an arbitrary axi-symmetrical loading too. The results showed that the technique provides a useful estimate of the elastic buckling load provided care is taken in interpreting the results. The usefulness of the method lies in its generality, simplicity and in the fact that, it is non-destructive. Moreover, it does not make any assumption regarding the number of buckling waves or the exact localization of buckling.
Download or read book Unsymmetrical Buckling of Thin Shallow Spherical Shells written by Nai-Chien Huang and published by . This book was released on 1963 with total page 58 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 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 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 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 Elastic Plastic Buckling of Spherical Shells Under Various Loading written by Shahin Nayyeri Amiri and published by LAP Lambert Academic Publishing. This book was released on 2011-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes elastic and plastic buckling of spherical shells under various kinds of loading conditions. The first part of the book presents the analytical, numerical, and experimental results of moderately thick and thin hemispherical metal shells into the plastic buckling range illustrating the importance of geometry changes on the buckling load. In the second part of the book, the Southwell's nondestructive method for columns is analytically extended to spherical shells subjected to uniform external pressure acting radially. Subsequently by finite element simulation and experimental work shown that the theory is applicable to spherical shells with an arbitrary axi-symmetrical loading too.
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 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 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 Plastic Buckling Pressure for Spherical Shells written by Myron E. Lunchick and published by . This book was released on 1963 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: A solution for the plastic axisymmetric buckling of thinwalled spheres under hydrostatic pressure is derived. The theory accounts for strainhardening of material and changes of Poisson's ratio in the plastic range. The plasticity reduction factor is expressed in terms of tangent and secant moduli and new concepts of tangent and secant Poisson's ratios. For typical engineering materials there is little difference between the results obtained from this solution and the earlier ones obtained from the solutions of Bijlaard and Gerard. (Author).
Download or read book A Nonlinear Theory of Bending and Buckling of Thin Elastic Shallow Spherical Shells written by A. Ḳaplan and published by . This book was released on 1954 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: A shallow spherical dome subjected to lateral pressure is a structure for which the deformation departs appreciably from the linear theory at relatively small values of the deflection amplitude. It is also one for which the buckling process is characterized by a rapid decrease in the equilibrium load once the buckling load has been surpassed. For structures having this type of buckling characteristics the question arises as to whether the proper buckling criterion to apply is the classical criterion, which considers equilibrium with respect to infinitesimal displacements, or the finite-displacement "energy criteriorn" proposed by Tsien.
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 Buckling Load of Thin Circular Cylindrical Shells Formed by Plastic Expansion written by LeRoy R. Guist and published by . This book was released on 1971 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: An experimental investigation was made to determine the axial buckling load of cylinders formed by a process of plastic expansion due to internal pressure. Test cylinders 21.6 cm in diameter, 0.330 mm thick, were formed by plastic expansion from 15.23 cm diameter commercial, welded, type 304 stainless steel tubing. Buckling loads from 50 to 71 percent of the classical value showed a definite relationship with the local decrease in curvature due to the worst imperfections. Buckling loads were substantially higher than expected in relation to the amplitude of their geometric imperfections. The results indicate that the process of plastic expansion may provide a means of producing certain types of cylinders of unusually high buckling load at low cost.
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).
