Download or read book Nonlinear Buckling of Spherical Shells Under Uniform External Pressure written by Wenxian Tang and published by China's Major Science and Tech. This book was released on 2020-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the nonlinear buckling of spherical shells under uniform external pressure. Such shells take the form of complete sphere, opening sphere, hemi sphere, spherical cap, multi-segment sphere, and tori-sphere. Experimental, analytical, and numerical approaches are implemented to perform the research. The work is intended for the professional researchers, teachers, and students whose research interest involves the instability of pressure vessels in civil, aero, and ocean engineering, as well as the corresponding technological staffs.
Download or read book Buckling of a Complete Spherical Shell Under Uniform External Pressure written by Harry E. Rauch and published by . This book was released on 1976 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear axisymmetric bucking of a complete spherical elastic shell under uniform external pressure is treated numerically. Particular attention is given to the lower critical load, which is the theoretical least failure load. Among the new results are the evaluation of this load for thinner shells than those treated in the existing literature; in particular, the values 6.73% and 4.9% of the classical linear buckling loads are obtained for the radius-to-thickness ratios 100 and 200, respectively. The shapes of the buckled shells are computed for the first time in an unexpected hint that there is an asymptotic (ratios-to-thickness ration-independent) buckled shape. Numerical solution is by means of spectral (Galerkin) expansions of up to 60 modes in associated Legendre functions of order one applied to the quadratically non-linear version of E. Reissner's equations. (Author).
Download or read book On the Solution of Nonlinear Snap Buckling by the Progressive Method snap Buckling of Spherical Shells Under Uniform External Pressure written by Masuji Uemura and published by . This book was released on 1964 with total page 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 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 On the solution of nonlinear snap buckling by the progressive approximation method written by Masuji Uemura and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Recipes for Continuation written by Harry Dankowicz and published by SIAM. This book was released on 2013-08-08 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the mathematical methodology of parameter continuation. It develops a systematic formalism for constructing and implementing abstract representations of continuation problems with equal emphasis on theoretical rigor, algorithm development and software engineering. The book demonstrates the use of fully developed toolbox templates for boundary-value problems to the analysis of periodic orbits, quasi-periodic invariant tori, and connecting orbits between equilibria and/or periodic orbits. The book contains extensive and fully-worked examples that illustrate the application of the MATLAB-based Computational Continuation Core (COCO) to cutting-edge research in applied dynamical systems. Many exercises and open-ended projects on both theoretical and algorithmic aspects of the material are provided, suitable for self-study and course assignments. It is intended for students and teachers of nonlinear dynamics and engineering at the advanced undergraduate or first-year graduate level, as well as practitioners engaged in modeling dynamical systems or software development.
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 Stability of Nonlinear Shells written by D. Shilkrut and published by Elsevier. This book was released on 2002-06-18 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of NonLinear Shells is a compilation of the author's work on analyzing the behaviour of spherical caps and related shell structures under various (axisymmetric) load systems. Differing from other texts on shells of revolution, it is one of the first attempts to deal with effects of multi-parameter load systems. This extension leads to the discovery of some new, hitherto unknown phenomena exhibited by these structures. In addition, the book presents a novel way to characterize properties of solutions of the governing equations for spherical caps - a classification anchored in a theory called reciprocal systems. The author has introduced a deformation map, a projection of multi-dimensional solutions to two-dimensional graphs, to enable analysts to gain insight into the physical meaning of the results obtained. Numerous examples illustrate the concepts introduced. This book also comes to grips with many misconceptions existing in engineering literature about the question of the stability of solutions.
Download or read book The Nonlinear Theory of Elastic Shells written by A. Libai and published by Elsevier. This book was released on 2012-12-02 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nonlinear Theory of Elastic Shells: One Spatial Dimension presents the foundation for the nonlinear theory of thermoelastic shells undergoing large strains and large rotations. This book discusses several relatively simple equations for practical application. Organized into six chapters, this book starts with an overview of the description of nonlinear elastic shell. This text then discusses the foundation of three-dimensional continuum mechanics that are relevant to the shell theory approach. Other chapters cover several topics, including birods, beamshells, and axishells that begins with a derivation of the equations of motion by a descent from the equations of balance of linear and rotational momentum of a three-dimensional material continuum. This book discusses as well the approach to deriving complete field equations for one- or two-dimensional continua from the integral equations of motion and thermodynamics of a three-dimensional continuum. The final chapter deals with the analysis of unishells. This book is a valuable resource for physicists, mathematicians, and scientists.
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 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 Buckling and Post Buckling Structures written by B. G. Falzon and published by Imperial College Press. This book was released on 2008 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth treatment of the study of the stability of engineering structures. Contributions from internationally recognized leaders in the field ensure a wide coverage of engineering disciplines in which structural stability is of importance, in particular the analytical and numerical modelling of structural stability applied to aeronautical, civil, marine and offshore structures. The results from a number of comprehensive experimental test programs are also presented, thus enhancing our understanding of stability phenomena as well as validating the analytical and computational solution schemes presented. A variety of structural materials are investigated with special emphasis on carbon-fibre composites, which are being increasingly utilized in weight-critical structures. Instabilities at the meso- and micro-scales are also discussed. This book will be particularly relevant to professional engineers, graduate students and researchers interested in structural stability.
Download or read book Bendings of Surfaces and Stability of Shells written by Alekse_ Vasil_evich Pogorelov and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an accessible exposition of the geometric theory of stability of elastic shells, starting from the basic facts of the theory of finite and infinitesimal bendings of surfaces. The author has included a number of new results obtained in recent years. In particular, the complete solution of the problem of stability of spherical shells under an external pressure is contained here without any assumptions regarding the character of buckling. Within the framework of the mathematical model of the phenomenon, the author gives a complete investigation of the loss of stability of a general, strictly convex shell fastened along an edge under external pressure. The author considers the question of the loss of stability of cylindrical shells under axial compression and the effect of various factors on the critical load, among other questions. In contrast to the author's 1967 book on the subject, this work is limited to a relatively small number of classical problems on the loss of stability of shells, but these problems are investigated more thoroughly.
Download or read book Buckling of Shallow Spherical Shells Under External Pressure written by Edward L. Reiss and published by . This book was released on 1957 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Buckling of Complete Spherical Shells Subjected to a Uniform External Pressure written by John Joseph Burns and published by . This book was released on 1968 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
