A General Theory of Elastic Stability

A General Theory of Elastic Stability PDF Author: John Michael Tutill Thompson
Publisher:
ISBN: 9780471859918
Category : Elasticity
Languages : en
Pages : 0

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A General Theory of Elastic Stability

A General Theory of Elastic Stability PDF Author: John Michael Tutill Thompson
Publisher:
ISBN: 9780471859918
Category : Elasticity
Languages : en
Pages : 0

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Book Description


Theory of Elastic Stability

Theory of Elastic Stability PDF Author: Luis A. Godoy
Publisher: CRC Press
ISBN: 1040285341
Category : Technology & Engineering
Languages : en
Pages : 452

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Book Description
This book gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems. Emphasis is placed throughout the text on post-buckling analysis and behaviour. The sensitivity of buckling and post-buckling states to changes in design parameters is also discussed as well as changes due to imperfections and damage.

Theory of Elastic Stability

Theory of Elastic Stability PDF Author: Stephen P. Timoshenko
Publisher: Courier Corporation
ISBN: 0486134806
Category : Technology & Engineering
Languages : en
Pages : 562

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Book Description
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.

A General Theory of Elastic Stability

A General Theory of Elastic Stability PDF Author: J. M. T. Thompson
Publisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 344

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Book Description


Stability Theory of Elastic Rods

Stability Theory of Elastic Rods PDF Author: Teodor M. Atanackovic
Publisher: World Scientific
ISBN: 9810230540
Category : Technology & Engineering
Languages : en
Pages : 441

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Book Description
This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.

Stability of Elastic Structures

Stability of Elastic Structures PDF Author: N.A. Alfutov
Publisher: Springer Science & Business Media
ISBN: 3540490981
Category : Science
Languages : en
Pages : 344

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Book Description
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 of Structures

Stability of Structures PDF Author: Z. P. Ba?ant
Publisher: World Scientific
ISBN: 9814317020
Category : Technology & Engineering
Languages : en
Pages : 1039

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Book Description
A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has been proven as a text for introductory courses and various advanced courses for graduate students. It is also prized as an exhaustive reference for engineers and researchers. The authors' focus on understanding of the basic principles rather than excessive detailed solutions, and their treatment of each subject proceed from simple examples to general concepts and rigorous formulations. All the results are derived using as simple mathematics as possible. Numerous examples are given and 700 exercise problems help in attaining a firm grasp of this central aspect of solid mechanics. The book is an unabridged republication of the 1991 edition by Oxford University Press and the 2003 edition by Dover, updated with 18 pages of end notes.

Nonconservative Problems of the Theory of Elastic Stability

Nonconservative Problems of the Theory of Elastic Stability PDF Author: Vladimir Vasilʹevich Bolotin
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 336

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Book Description


Theory of Elasticity for Scientists and Engineers

Theory of Elasticity for Scientists and Engineers PDF Author: Teodor M. Atanackovic
Publisher: Springer Science & Business Media
ISBN: 1461213304
Category : Technology & Engineering
Languages : en
Pages : 378

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Book Description
This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.

Non-Classical Problems in the Theory of Elastic Stability

Non-Classical Problems in the Theory of Elastic Stability PDF Author: Isaac Elishakoff
Publisher: Cambridge University Press
ISBN: 0521782104
Category : Mathematics
Languages : en
Pages : 354

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Book Description
When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.