Download or read book Elastic Buckling of Thin Spherical Shells written by J. M. T. Thompson and published by . This book was released on with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 Lower Bounds for the Buckling Pressure of Spherical Shells written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1963 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fabrication and Buckling of Thin Spherical Shells Containing Precise Geometric Imperfections written by Anna Lee (Ph. D.) and published by . This book was released on 2018 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: We revisit the classic problem of buckling of thin spherical shells under uniform pressure and explore the effect that geometric imperfections can have on their buckling behavior. Since the 1960s, numerous theoretical and computational studies have addressed the imperfection sensitivity of buckling of thin elastic shells. However, there is a lack of precise experiments to corroborate these predictions, especially for spherical shells, which is the central topic of this thesis. First, we develop a novel fabrication technique to produce thin hemispherical elastic shells by the coating of spherical molds with a polymer solution. Upon curing the thin liquid film yields the elastic structure of nearly constant thickness. We experimentally investigate the drainage dynamics, the final thickness, and its uniformity. Our results are directly compared with theoretical and numerical analyses. Secondly, we study the buckling of spherical shells that contain a precisely engineered geometric imperfection. Our shell fabrication technique allows us to introduce a single dimple-like defect with controllable geometric properties. We systematically vary the amplitude and width of the defect, and then we present a quantitative relationship between the critical buckling pressure and the defect geometry. Our results can be predicted by both the finite element method and numerical simulations of a reduced shell theory model. Finally, we fabricate hemispherical bilayer shells containing a defect. To do so, we coat two different polymer solutions, layer by layer, onto the hemispherical molds containing a defect. We find that the bilayer shell can self-repair or self-aggravate the geometric imperfections due to residual swelling. Hence, the critical buckling pressure can be increased or decreased over time depending on the order of coating of each polymer layer. The fabrication technique and experimental results presented in this thesis open exciting new avenues in the study of the buckling of spherical shells, and we hope that it will instigate a resurgence of interest in this classic but important field of mechanics.
Download or read book Analysis of Shells Plates and Beams written by Holm Altenbach and published by Springer Nature. This book was released on 2020-06-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
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 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 Influence of the Assumed Deflected Shape in Applying the Energy Method to Determine the Elastic Buckling Pressure of Thin Shallow Spherical Shells written by Austin Bert Caseman and published by . This book was released on 1961 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buckling And Postbuckling Structures Experimental Analytical And Numerical Studies written by Brian G Falzon and published by World Scientific. This book was released on 2008-05-23 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./a
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 Technical Report A THEORETICAL AND EXPERIMENTAL STUDY OF THE SABILITY OF THIN ELASTIC SPHERICAL SHELLS written by D. Beaty and published by . This book was released on 1962 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Practical Stress Analysis in Engineering Design Second Edition written by Alexander Blake and published by CRC Press. This book was released on 1989-10-23 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Second Edition presents a hands-on design methodology for daily technical decisions without immersion in high mathematics.
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).
