Bendings Of Surfaces And Stability Of Shells
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Bendings Of Surfaces And Stability Of Shells
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Author : Alekse_ Vasil_evich Pogorelov
language : en
Publisher: American Mathematical Soc.
Release Date : 1988-12-31
Bendings Of Surfaces And Stability Of Shells written by Alekse_ Vasil_evich Pogorelov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-31 with Technology & Engineering categories.
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.
Bendings Of Surfaces And Stability Of Shells
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Author : Alekseĭ Vasilʹevich Pogorelov
language : en
Publisher:
Release Date : 1988
Bendings Of Surfaces And Stability Of Shells written by Alekseĭ Vasilʹevich Pogorelov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Bending categories.
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 gen.
Geometric Method For Stability Of Non Linear Elastic Thin Shells
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Author : Jordanka Ivanova
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Geometric Method For Stability Of Non Linear Elastic Thin Shells written by Jordanka Ivanova and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.
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.
Analysis Of Shells And Plates
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Author : Phillip L. Gould
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis Of Shells And Plates written by Phillip L. Gould and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The study ofthree-dimensional continua has been a traditional part of graduate education in solid mechanics for some time. With rational simplifications to the three-dimensional theory of elasticity, the engineering theories of medium-thin plates and of thin shells may be derived and applied to a large class of engi neering structures distinguished by a characteristically small dimension in one direction. Often, these theories are developed somewhat independently due to their distinctive geometrical and load-resistance characteristics. On the other hand, the two systems share a common basis and might be unified under the classification of Surface Structures after the German term Fliichentragwerke. This common basis is fully exploited in this book. A substantial portion of many traditional approaches to this subject has been devoted to constructing classical and approximate solutions to the governing equations of the system in order to proceed with applications. Within the context of analytical, as opposed to numerical, approaches, the limited general ity of many such solutions has been a formidable obstacle to applications involving complex geometry, material properties, and/or loading. It is now relatively routine to obtain computer-based solutions to quite complicated situations. However, the choice of the proper problem to solve through the selection of the mathematical model remains a human rather than a machine task and requires a basis in the theory of the subject.
Stability Analysis Of Plates And Shells
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Author :
language : en
Publisher:
Release Date : 1998
Stability Analysis Of Plates And Shells written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Plates (Engineering) categories.
Elastic Stability Of Circular Cylindrical Shells
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Author : N. Yamaki
language : en
Publisher: Elsevier
Release Date : 1984-02-01
Elastic Stability Of Circular Cylindrical Shells written by N. Yamaki and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-02-01 with Technology & Engineering categories.
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.
Handbook Of Structural Stability
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Author : George Gerard
language : en
Publisher:
Release Date : 1959
Handbook Of Structural Stability written by George Gerard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Buckling (Mechanics) categories.
Asymptotic Methods In The Buckling Theory Of Elastic Shells
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Author : P. E. Tovstik
language : en
Publisher: World Scientific
Release Date : 2001
Asymptotic Methods In The Buckling Theory Of Elastic Shells written by P. E. Tovstik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Technology & Engineering categories.
This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of the asymptotic method permit one to estimate the critical loads and find the buckling modes.The solutions to some of the buckling problems are obtained for the first time in the form of explicit formulas. Special attention is devoted to the study of the shells of negative Gaussian curvature, the buckling of which has some specific features. The buckling modes localized near the weakest lines or points on the neutral surface are constructed, including the buckling modes localized near the weakly supported shell edge. The relations between the buckling modes and bending of the neutral surface are analyzed. Some of the applied asymptotic methods are standard; the others are new and are used for the first time in this book to study thin shell buckling. The solutions obtained in the form of simple approximate formulas complement the numerical results, and permit one to clarify the physics of buckling.
Theory Of Shell Structures
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Author : C. R. Calladine
language : en
Publisher: Cambridge University Press
Release Date : 1983
Theory Of Shell Structures written by C. R. Calladine and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Science categories.
This book attempts to bring the essence of shell structures within the grasp of engineers. It tackles the fundamental question of how bending and stretching effects combine and interact in shell structures from a physical point of view; and shows that this approach leads to an understanding of the structural mechanics of shells in general.
Small Bending And Stretching Of Sandwich Type Shells
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Author : Eric Reissner
language : en
Publisher:
Release Date : 1949
Small Bending And Stretching Of Sandwich Type Shells written by Eric Reissner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Aeronautics categories.
The general results are applied to the solution of problems concerning the flat plates, circular rings, circular cylindrical shells, and spherical shells.