Nonlinear Stability Analysis of Thin Elastic Shells of Revolution PDF Download
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Author: Joseph Lestingi
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
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Book Description
Author: Joseph Lestingi
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
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Book Description
Author: Jordanka Ivanova
Publisher: Springer Science & Business Media
ISBN: 1461515114
Category : Science
Languages : en
Pages : 252
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Book Description
PREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. The present book is intended to assist and encourage the researches in this field to apply the geometric method and the related results to everyday engineering practice.
Author: Arturs Kalnins
Publisher:
ISBN:
Category : Buckling (Mechanics)
Languages : en
Pages : 508
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Book Description
This project was undertaken to present workable methods of analyses for thin, elastic shells of revolution, and to provide computer programs for performing such analyses. By means of these methods, the following problems for a thin, elastic shell of revolution can be solved: (1) stresses and deflections can be determined when the shell is subjected to arbitrary mechanical and/or thermal loads; (2) natural frequencies and mode shapes can be found for free vibration when the shell is subjected to or is free of prestress; (3) buckling loads, according to the classical stability theory, can be found when the shell is subjected to axisymmetric or sinusoidal nonsymmetric prestress. (Author).
Author: Marcus George Hendricks
Publisher: Palala Press
ISBN: 9781342087287
Category :
Languages : en
Pages : 142
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Book Description
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.
Author: Marcus George Hendricks
Publisher:
ISBN:
Category : Buckling (Mechanics)
Languages : en
Pages : 262
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Book Description
Author: Natalia I. Obodan
Publisher: Springer Science & Business Media
ISBN: 9400763654
Category : Science
Languages : en
Pages : 182
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Book Description
This book focuses on the nonlinear behaviour of thin-wall shells (single- and multilayered with delamination areas) under various uniform and non-uniform loadings. The dependence of critical (buckling) load upon load variability is revealed to be highly non-monotonous, showing minima when load variability is close to the eigenmode variabilities of solution branching points of the respective nonlinear boundary problem. A novel numerical approach is employed to analyze branching points and to build primary, secondary, and tertiary bifurcation paths of the nonlinear boundary problem for the case of uniform loading. The load levels of singular points belonging to the paths are considered to be critical load estimates for the case of non-uniform loadings.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1134
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Book Description
Author: Harry Kraus
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 504
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Book Description
Author: S. B. Batdorf
Publisher:
ISBN:
Category : Aerodynamic load
Languages : en
Pages : 25
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Book Description
The equation for the equilibrium of cylindrical shells introduced by Donnell in NACA Report No. 479 to find the critical stresses of cylinders in torsion is applied to find critical stresses for cylinders with simply supported edges under other loading conditions. It is shown that by this method solutions may be obtained very easily and the results in each case may be expressed in terms of two nondimensional parameters, one dependent on the critical stress and the other essentially determined by the geometry of the cylinder. The influence of boundary condtions realted to edge displacements in the shell median surface is discussed. The accuracy of the shell median surface is discussed. The accuracy of the solutions found is established by comparing them with previous theoretical solutions solutions and with test results.
Author: A. Libai
Publisher: Cambridge University Press
ISBN: 9780521019767
Category : Science
Languages : en
Pages : 564
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Book Description
Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins and arteries, and soft drink cans. This book explains shell theory, with numerous examples and applications. This second edition not only brings all the material of the first edition entirely up to date; it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical, and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.
