Geometric Method for Stability of Non-Linear Elastic Thin Shells PDF Download
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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: Jordanka Ivanova
Publisher: Springer Science & Business Media
ISBN: 1461515114
Category : Science
Languages : en
Pages : 252
Get Book Here
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: Franco Pastrone
Publisher:
ISBN:
Category :
Languages : en
Pages : 244
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Book Description
Author: Kh. M. Mushtari
Publisher:
ISBN:
Category : Elastic Analysis (structural Engineering)
Languages : en
Pages : 772
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Book Description
Author: A. Libai
Publisher: Elsevier
ISBN: 0323150810
Category : Technology & Engineering
Languages : en
Pages : 429
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 592
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Book Description
Author: Joseph Lestingi
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
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Book Description
Author: Carlos Guedes Soares
Publisher: CRC Press
ISBN: 0203874986
Category : Technology & Engineering
Languages : en
Pages : 578
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Book Description
'Analysis and Design of Marine Structures' explores recent developments in methods and modelling procedures for structural assessment of marine structures:- Methods and tools for establishing loads and load effects;- Methods and tools for strength assessment;- Materials and fabrication of structures;- Methods and tools for structural design and opt
Author: Isaac E Elishakoff
Publisher: World Scientific
ISBN: 9814583553
Category : Technology & Engineering
Languages : en
Pages : 350
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Book Description
There have been stability theories developed for beams, plates and shells — the most significant elements in mechanical, aerospace, ocean and marine engineering. For beams and plates, the theoretical and experimental values of buckling loads are in close vicinity. However for thin shells, the experimental predictions do not conform with the theory, due to presence of small geometric imperfections that are deviations from the ideal shape.This fact has been referred to in the literature as ‘embarrassing’, ‘paradoxical’ and ‘perplexing’. Indeed, the popular adage, “In theory there is no difference between theory and practice. In practice there is”, very much applies to thin shells whose experimental buckling loads may constitute a small fraction of the theoretical prediction based on classical linear theory; because in practice, engineers use knockdown factors that are not theoretically substantiated.This book presents a uniform approach that tames this prima-donna-like and capricious behavior of structures that has been dubbed the ‘imperfection sensitivity’ — thus resolving the conundrum that has occupied the best minds of elastic stability throughout the twentieth century.
Author: Iosif I. Vorovich
Publisher: Springer Science & Business Media
ISBN: 0387227768
Category : Technology & Engineering
Languages : en
Pages : 404
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Book Description
This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.
Author: Matthias Beckh
Publisher: John Wiley & Sons
ISBN: 1118932692
Category : Technology & Engineering
Languages : en
Pages : 152
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Book Description
Hyperbolic structures analyses the interactions of form with the structural behaviour of hyperbolic lattice towers, and the effects of the various influencing factors were determined with the help of parametric studies and load capacity analyses. This evaluation of Shukhov’s historical calculations and the reconstruction of the design and development process of his water towers shows why the Russian engineer is considered not only a pathfinder for lightweight structures but also a pioneer of parametrised design processes.
