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Theory of Elastic Stability

Theory of Elastic Stability

Author: Stephen P. Timoshenko, James M. Gere
Publisher: Courier Corporation
ISBN: 0486134806
Pages: 560
Year: 2012-05-04
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

Author: J. M. T. Thompson, G. W. Hunt
Publisher: John Wiley & Sons
ISBN:
Pages: 322
Year: 1973-01-01

Theory of Elastic Stability

Theory of Elastic Stability

Author: Luis A. Godoy
Publisher: CRC Press
ISBN: 1560328576
Pages: 450
Year: 1999-11-01
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

Author:
Publisher:
ISBN: 0070858055
Pages:
Year: 2010

Nonlinear theory of elastic stability

Nonlinear theory of elastic stability

Author: Koncay Huseyin
Publisher:
ISBN:
Pages: 220
Year: 1975

Nonconservative Problems of the Theory of Elastic Stability

Nonconservative Problems of the Theory of Elastic Stability

Author: Vladimir Vasil'evich Bolotin
Publisher:
ISBN:
Pages: 324
Year: 1963

Theory of elastic stability and post-buckling behaviour

Theory of elastic stability and post-buckling behaviour

Author: Warner Tjardus Koiter, United States. Office of Naval Research
Publisher:
ISBN:
Pages: 80
Year: 1962

Non-Classical Problems in the Theory of Elastic Stability

Non-Classical Problems in the Theory of Elastic Stability

Author: Isaac Elishakoff, Yiwei Li, James H. Starnes, Jr
Publisher: Cambridge University Press
ISBN: 0521782104
Pages: 336
Year: 2001-01-29
Presents techniques for stability analysis based on the probabilistic theory of stability or 'anti-optimization' theory.
Stability Theory of Elastic Rods

Stability Theory of Elastic Rods

Author: Teodor M. Atanackovic
Publisher: World Scientific
ISBN: 9810230540
Pages: 425
Year: 1997-01
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, Bifurcation and Postcritical Behaviour of Elastic Structures

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

Author: M. Pignataro, N. Rizzi, A. Luongo
Publisher: Elsevier
ISBN: 1483290832
Pages: 375
Year: 2013-10-22
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.
Theory of Stability of Continuous Elastic Structures

Theory of Stability of Continuous Elastic Structures

Author: Mario Como, Antonio Grimaldi
Publisher: CRC Press
ISBN: 0849389909
Pages: 272
Year: 1995-06-29
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 Elastic Stability. 2.ed

Theory of Elastic Stability. 2.ed

Author: S.P. Timoshenko, J.M. Gere
Publisher:
ISBN:
Pages: 541
Year: 1961

Stability of Elastic Structures

Stability of Elastic Structures

Author: N.A. Alfutov
Publisher: Springer Science & Business Media
ISBN: 3540490981
Pages: 338
Year: 2013-04-17
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.
An introduction to the elastic stability of structures

An introduction to the elastic stability of structures

Author: George J. Simitses
Publisher: Prentice Hall
ISBN:
Pages: 253
Year: 1976-02

Non-Linear Theory of Elasticity and Optimal Design

Non-Linear Theory of Elasticity and Optimal Design

Author: L.W. Ratner
Publisher: Elsevier
ISBN: 008053760X
Pages: 279
Year: 2003-11-12
In order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated. The new non-linear theory of elasticity allows one to determine the actual individual limit of elasticity/failure of a structure using a simple non-destructive method of measurement of deformation on the model of a structure while presently it can be done only with a destructive test for each structure. For building and explaining the theory, a new logical structure was introduced as the basis of the theory. One of the important physical implications of this logic is that it describes mathematically the universal domain of the possible stable physical relations.