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Theory of Stability of Continuous Elastic Structures

Theory of Stability of Continuous Elastic Structures
Author: Mario Como
Publisher: Routledge
Total Pages: 272
Release: 2022-01-27
Genre: Mathematics
ISBN: 1351408534

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Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.


Theory of Stability of Continuous Elastic Structures

Theory of Stability of Continuous Elastic Structures
Author: Mario Como
Publisher: CRC Press
Total Pages: 266
Release: 1995-06-29
Genre: Mathematics
ISBN: 9780849389900

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Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.


Stability of Elastic Structures

Stability of Elastic Structures
Author: N.A. Alfutov
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2013-04-17
Genre: Science
ISBN: 3540490981

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The subject discussed in this book is the stability of thin-walled elastic systems under static loads. The presentation of these problems is based on modern approaches to elastic-stability theory. Special attention is paid to the formulation of elastic-stability criteria, to the statement of column, plate and shell stability problems, to the derivation of basic relationships, and to a discussion of the boundaries of the application of analytic relationships. The author has tried to avoid arcane, nonstandard problems and elaborate and unexpected solutions, which bring real pleasure to connoisseurs, but confuse students and cause bewilderment to some practical engineers. The author has an apprehension that problems which, though interesting, are limited in application can divert the reader's attention from the more prosaic but no less sophisticated general problems of stability theory.


Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures
Author: M. Pignataro
Publisher: Elsevier
Total Pages: 375
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483290832

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A comprehensive and systematic analysis of elastic structural stability is presented in this volume. Traditional engineering buckling concepts are discussed in the framework of the Liapunov theory of stability by giving an extensive review of the Koiter approach. The perturbation method for both nonlinear algebraic and differential equations is discussed and adopted as the main tool for postbuckling analysis. The formulation of the buckling problem for the most common engineering structures - rods and frames, plates, shells, and thin-walled beams, is performed and the critical load evaluated for problems of interest. In many cases the postbuckling analysis up to the second order is presented. The use of the Ritz-Galerkin and of the finite element methods is examined as a tool for approximate bifurcation analysis. The volume will provide an up-to-date introduction for non-specialists in elastic stability theory and methods, and is intended for graduate and post-graduate students and researchers interested in nonlinear structural analysis problems. Basic prerequisites are kept to a minimum, a familiarity with elementary algebra and calculus is all that is required of readers to make use of this book.


Stability of Structures

Stability of Structures
Author: Z. P. Bažant
Publisher: Courier Corporation
Total Pages: 1058
Release: 2003-01-01
Genre: Technology & Engineering
ISBN: 9780486425689

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Exploration of principles and applications emphasizes nonelastic stability, focusing on problems of fracture and damage, thermodynamics of stability in irreversible systems, and other key areas. 700 exercise problems. 1991 edition.


Theory of Elastic Stability

Theory of Elastic Stability
Author: Stephen P. Timoshenko
Publisher: Courier Corporation
Total Pages: 562
Release: 2012-05-04
Genre: Technology & Engineering
ISBN: 0486134806

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Written by world-renowned authorities on mechanics, this classic ranges from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, and thermal stress. 1961 edition.


Stability Theory and Its Applications to Structural Mechanics

Stability Theory and Its Applications to Structural Mechanics
Author: Clive L. Dym
Publisher: Courier Dover Publications
Total Pages: 0
Release: 2002
Genre: Structural stability
ISBN: 9780486425412

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An integration of modern work in structural stability theory, this volume focuses on the Koiter postbuckling analyses, with mathematical notions of stability of motion. In relation to discrete and continuous systems, it bases the minimum energy principles for static stability upon the dynamic concepts of stability of motion. It further develops the asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches.


Stability of Structures

Stability of Structures
Author: Chai H Yoo
Publisher: Elsevier
Total Pages: 537
Release: 2011-05-12
Genre: Technology & Engineering
ISBN: 0123851238

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The current trend of building more streamlined structures has made stability analysis a subject of extreme importance. It is mostly a safety issue because Stability loss could result in an unimaginable catastrophe. Written by two authors with a combined 80 years of professional and academic experience, the objective of Stability of Structures: Principles and Applications is to provide engineers and architects with a firm grasp of the fundamentals and principles that are essential to performing effective stability analysts. Concise and readable, this guide presents stability analysis within the context of elementary nonlinear flexural analysis, providing a strong foundation for incorporating theory into everyday practice. The first chapter introduces the buckling of columns. It begins with the linear elastic theory and proceeds to include the effects of large deformations and inelastic behavior. In Chapter 2 various approximate methods are illustrated along with the fundamentals of energy methods. The chapter concludes by introducing several special topics, some advanced, that are useful in understanding the physical resistance mechanisms and consistent and rigorous mathematical analysis. Chapters 3 and 4 cover buckling of beam-columns. Chapter 5 presents torsion in structures in some detail, which is one of the least well understood subjects in the entire spectrum of structural mechanics. Strictly speaking, torsion itself does not belong to a topic in structural stability, but needs to be covered to some extent for a better understanding of buckling accompanied with torsional behavior. Chapters 6 and 7 consider stability of framed structures in conjunction with torsional behavior of structures. Chapters 8 to 10 consider buckling of plate elements, cylindrical shells, and general shells. Although the book is primarily devoted to analysis, rudimentary design aspects are discussed. Balanced presentation for both theory and practice Well-blended contents covering elementary to advanced topics Detailed presentation of the development


Mathematical Theory of Elastic Structures

Mathematical Theory of Elastic Structures
Author: Kang Feng
Publisher: Springer Science & Business Media
Total Pages: 407
Release: 2013-04-17
Genre: Science
ISBN: 3662032864

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Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.