Bendings of Surfaces and Stability of Shells

Bendings of Surfaces and Stability of Shells PDF 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.

Bendings of Surfaces and Stability of Shells

Bendings of Surfaces and Stability of Shells PDF Author: Alekse_ Vasil_evich Pogorelov
Publisher: American Mathematical Soc.
ISBN: 9780821898208
Category : Technology & Engineering
Languages : en
Pages : 92

Get Book Here

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.

Bendings of Surfaces and Stability of Shells

Bendings of Surfaces and Stability of Shells PDF 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.

Theory of Shell Structures

Theory of Shell Structures PDF 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.

Theory of Plates and Shells

Theory of Plates and Shells PDF Author: Stephen Timoshenko
Publisher:
ISBN: 9780758184092
Category : Plates (Engineering)
Languages : en
Pages : 580

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Book Description


Geometry III

Geometry III PDF Author: Yu.D. Burago
Publisher: Springer Science & Business Media
ISBN: 3662027518
Category : Mathematics
Languages : en
Pages : 263

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Book Description
A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.

Handbook of Structural Stability

Handbook of Structural Stability PDF Author: George Gerard
Publisher:
ISBN:
Category : Buckling (Mechanics)
Languages : en
Pages : 28

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Book Description


Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1280

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Book Description


The Finite Twisting and Bending of Heated Elastic Lifting Surfaces

The Finite Twisting and Bending of Heated Elastic Lifting Surfaces PDF Author: Raymond L. Bisplinghoff
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 126

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Book Description


Design of Plate and Shell Structures

Design of Plate and Shell Structures PDF Author: Maan H. Jawad
Publisher: American Society of Mechanical Engineers
ISBN: 9780791801994
Category : Plates (Engineering)
Languages : en
Pages : 0

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Book Description
This book is written primarily for professional engineers interested in designing plate and shell structures. It covers basic aspects of theories and gives examples for the design of components due to internal and external loads as well as other loads, such as wind and dead loads. Various derivations are kept relatively simple and the resultant equations are simplified to a level where the engineer can apply them directly to design problems. More elaborate derivations and more general equations can be found in the literature for those interested in a more in-depth knowledge of the theories of plates and shells. The examples given throughout this book are intended to show the engineer the level of analysis needed to achieve a safe design based on a given required degree of accuracy. This book is also appropriate for advanced engineering courses.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 528

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Book Description