Geometric Shell Stability Theory PDF Download
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Author: A. V. Pogorelov
Publisher:
ISBN:
Category :
Languages : en
Pages : 465
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Book Description
Author: A. V. Pogorelov
Publisher:
ISBN:
Category :
Languages : en
Pages : 465
Get Book Here
Book Description
Author: Alekse_ Vasil_evich Pogorelov
Publisher: American Mathematical Soc.
ISBN: 9780821898208
Category : Technology & Engineering
Languages : en
Pages : 92
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Book Description
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.
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: Alekseĭ Vasilʹevich Pogorelov
Publisher:
ISBN: 9781470444860
Category : Bending
Languages : en
Pages :
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Book Description
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.
Author: C. R. Calladine
Publisher: Cambridge University Press
ISBN: 9780521369459
Category : Science
Languages : en
Pages : 794
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Book Description
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.
Author: Philippe G. Ciarlet
Publisher: Elsevier
ISBN: 0080511236
Category : Mathematics
Languages : en
Pages : 662
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Book Description
The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter.
Author: Marco Amabili
Publisher: Cambridge University Press
ISBN: 1139469029
Category : Science
Languages : en
Pages : 391
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Book Description
This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
Author: Jochen Brüning
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110451530
Category : Mathematics
Languages : en
Pages : 590
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Book Description
This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity
Author: North American Aviation
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 860
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Book Description
This Shell Analysis Manual provides specific instructions, procedures, basic solutions, and recommendations to facilitate the expedient static structural analysis of shell-type spacecraft structures. It also provides an introduction to and reference for the practical static structural analysis of shells. The manual comprises the following chapters: 1.00 Introduction to Shell Theory 2.00 Procedures for Static Analysis of Shell Structures 3.00 Procedures for Stability Analysis of Shell Structures 4.00 Minimum Weight Shell Design 5.00 Optimum Use of Computer Programs Chapter 1.00 presents a derivation of general shell theory from concepts of the linear theory of elasticity and includes the basic relationships of shell geometry, geometry of strain, stress-strain, and equilibrium. The various shell theories are classified according to the simplifications made to a higher-order theory. Approximate theories and simplifications that have made the solution to these theories possible are delineated. A presentation of nonlinear shell theory to be used for large deflection analysis of shells is included. This development is based on variational principles and the concept of stationary potential energy. Structural stability shell theory is discussed. The shell stability equations are presented and techniques for determining buckling loads using variational procedures are outlined. A discussion of the discrepancies between the theoretical and experimental results is included.
Author: Sukhvarsh Jerath
Publisher: John Wiley & Sons
ISBN: 1119694523
Category : Technology & Engineering
Languages : en
Pages : 674
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Book Description
Discover the theory of structural stability and its applications in crucial areas in engineering Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shells combines necessary information on structural stability into a single, comprehensive resource suitable for practicing engineers and students alike. Written in both US and SI units, this invaluable guide is perfect for readers within and outside of the US. Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shell offers: Detailed and patiently developed mathematical derivations and thorough explanations Energy methods that are incorporated throughout the chapters Connections between theory, design specifications and solutions The latest codes and standards from the American Institute of Steel Construction (AISC), Canadian Standards Association (CSA), Australian Standards (SAA), Structural Stability Research Council (SSRC), and Eurocode 3 Solved and unsolved practice-oriented problems in every chapter, with a solutions manual for unsolved problems included for instructors Ideal for practicing professionals in civil, mechanical, and aerospace engineering, as well as upper-level undergraduates and graduate students in structural engineering courses, Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shell provides readers with detailed mathematical derivations along with thorough explanations and practical examples.
