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.

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

Get Book

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.

Probabilistic Methods in the Theory of Structures

Probabilistic Methods in the Theory of Structures PDF Author: Isaac Elishakoff
Publisher: John Wiley & Sons
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 508

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Book Description
Well-written introduction covers probability theory from two or more random variables, reliability of such multivariable structures, theory of random function, Monte Carlo methods for problems incapable of exact solution, more.

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.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 960

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Book Description


Nonconservative Problems of the Theory of Elastic Stability

Nonconservative Problems of the Theory of Elastic Stability PDF Author: Vladimir Vasil'evich Bolotin
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 324

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Book Description


Eight Non-Classical Problems of Fracture Mechanics

Eight Non-Classical Problems of Fracture Mechanics PDF Author: Aleksander N. Guz
Publisher: Springer Nature
ISBN: 3030775011
Category : Technology & Engineering
Languages : en
Pages : 366

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Book Description
This book presents an analysis of eight non-classical problems of fracture and failure mechanics mainly obtained by research in the department of dynamics and stability of continuum of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (NAS of Ukraine). It focusses on the application of the 3D (three-dimensional) theories of stability, dynamics, and statics of solid mechanics to the investigation of non-classical problems of fracture and failure mechanics.

Dynamic Stability of Columns under Nonconservative Forces

Dynamic Stability of Columns under Nonconservative Forces PDF Author: Yoshihiko Sugiyama
Publisher: Springer
ISBN: 3030005720
Category : Science
Languages : en
Pages : 236

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Book Description
This book treats dynamic stability of structures under nonconservative forces. it is not a mathematics-based, but rather a dynamics-phenomena-oriented monograph, written with a full experimental background. Starting with fundamentals on stability of columns under nonconservative forces, it then deals with the divergence of Euler’s column under a dead (conservative) loading from a view point of dynamic stability. Three experiments with cantilevered columns under a rocket-based follower force are described to present the verifiability of nonconservative problems of structural stability. Dynamic stability of columns under pulsating forces is discussed through analog experiments, and by analytical and experimental procedures together with related theories. Throughout the volume the authors retain a good balance between theory and experiments on dynamic stability of columns under nonconservative loading, offering a new window to dynamic stability of structures, promoting student- and scientist-friendly experiments.

Resolution Of The Twentieth Century Conundrum In Elastic Stability

Resolution Of The Twentieth Century Conundrum In Elastic Stability PDF Author: Isaac E Elishakoff
Publisher: World Scientific
ISBN: 9814583553
Category : Technology & Engineering
Languages : en
Pages : 352

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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.

Nonconservative Problems of the Theory of Elastic Stability

Nonconservative Problems of the Theory of Elastic Stability PDF Author: V. V. Bolotin
Publisher: Pergamon
ISBN: 9780080104904
Category : Aeroelasticity
Languages : en
Pages : 324

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Book Description


Modern Problems of Structural Stability

Modern Problems of Structural Stability PDF Author: Alexander P. Seyranian
Publisher: Springer
ISBN: 370912560X
Category : Technology & Engineering
Languages : en
Pages : 398

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Book Description
Stability of structures is one of the most important and interesting fields in mechanics. This book is dedicated to fundamental concepts, problems and methods of structural stability along with qualitative understanding of instability phenomena. The methods presented are constructive and easy to implement in computer programs. Recent exciting experiments on dynamic stability of non-conservative systems are described and shown by many photographs.