Stability Theory Of Elastic Rods
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Stability Theory Of Elastic Rods
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Author : Teodor M. Atanackovic
language : en
Publisher: World Scientific
Release Date : 1997
Stability Theory Of Elastic Rods written by Teodor M. Atanackovic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Technology & Engineering categories.
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, Pflger'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.
A Primer On The Kinematics Of Discrete Elastic Rods
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Author : M. Khalid Jawed
language : en
Publisher: Springer
Release Date : 2018-05-04
A Primer On The Kinematics Of Discrete Elastic Rods written by M. Khalid Jawed and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Technology & Engineering categories.
This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the behavior of slender bodies that can be modeled using an elastic rod. The formulation has been extensively employed in computer graphics and is highly cited. In the primer, we provide relevant background from both discrete and classical differential geometry so a reader familiar with classic rod theories can appreciate, comprehend, and use Bergou et al.’s computational efficient formulation of a nonlinear rod theory. The level of coverage is suitable for graduate students in mechanics and engineering sciences.
Theory Of Elastic Stability
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Author : Luis A. Godoy
language : en
Publisher: CRC Press
Release Date : 1999-11-01
Theory Of Elastic Stability written by Luis A. Godoy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-01 with Science categories.
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.
Approximate Theories Of Elastic Rods With Applications
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Author : Jeffrey Stephen Turcotte
language : en
Publisher:
Release Date : 1996
Approximate Theories Of Elastic Rods With Applications written by Jeffrey Stephen Turcotte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
In this dissertation, approximate theories involving combinations of small and moderate strains and rotations for elastic rods are developed. Their usefulness is illustrated with several applications. The rod theory used to construct these theories is the directed (or Cosserat) rod theory developed by Green, Naghdi and several of their co-workers. The approximate theories which are developed in this dissertation are rendered properly invariant under arbitrary superposed rigid body motions by extending some recent work of Casey and Naghdi, and of O'Reilly. These extensions were developed to render the properly invariant theories more amenable to applications. The approximate theory that is the primary focus of this work is one involving small strain and moderate rotation. A parallel development for a directed surface was performed earlier by Naghdi and Vongsarnpigoon. Specifically, it is shown that there are considerable simplifications in the balance and constitutive laws as well as in the strain-displacement relations because of the assumptions made in this theory. p5
Stability Of Elastic Structures
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Author : N.A. Alfutov
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-28
Stability Of Elastic Structures written by N.A. Alfutov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-28 with Computers categories.
The subject discussed in this book is the stability of thin-walled elastic systems under static loads. The presentation of theses 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.
Theory Of Elastic Stability
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Author : Stephen P. Timoshenko
language : en
Publisher: Courier Corporation
Release Date : 2012-05-04
Theory Of Elastic Stability written by Stephen P. Timoshenko and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-04 with Technology & Engineering categories.
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.
Classical And Generalized Models Of Elastic Rods
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Author : D. Iesan
language : en
Publisher: CRC Press
Release Date : 2008-11-14
Classical And Generalized Models Of Elastic Rods written by D. Iesan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-14 with Science categories.
Reflecting new developments in the study of Saint-Venant’s problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material. The author presents a method to construct Saint-Venant’s solutions, minimum energy characterizations of these solutions, and a proof of Saint-Venant’s principle. He then discusses the deformation of nonhomogenous and isotropic cylinders as well as the problem of loaded anisotropic elastic cylinders. The book also deals with the deformation of cylinders within the linearized theory of homogeneous Cosserat elastic solids, the deformation of nonhomogeneous Cosserat cylinders, and the extension, bending, and torsion of porous elastic cylinders. With numerous results not found in related texts, this book provides a unique, unified point of view in the theory of the deformation of elastic cylinders.
W T Koiter S Elastic Stability Of Solids And Structures
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Author : Arnold M. A. van der Heijden
language : en
Publisher: Cambridge University Press
Release Date : 2008-08-11
W T Koiter S Elastic Stability Of Solids And Structures written by Arnold M. A. van der Heijden and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-11 with Science categories.
This book deals with the elastic stability of solids and structures. It begins with fundamental aspects of stability, relating the basic notions of dynamic stability to more traditional quasi-static approaches. The book is concerned not only with buckling, or linear instability, but most importantly with nonlinear post-buckling behavior and imperfection-sensitivity. After laying out the general theory, Koiter applies the theory to a number of applications, with a chapter devoted to each. These include a variety of beam, plate, and shell structural problems and some basic continuum elasticity problems. Koiter's classic results on the nonlinear buckling and imperfection-sensitivity of cylindrical and spherical shells are included. The treatments of both the fundamental aspects and the applications are completely self contained. This book was recorded as a detailed set of notes by Arnold van der Heijden from W. T. Koiter's last set of lectures on stability theory, at TU Delft.
A General Theory Of Elastic Stability
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Author : J. M. T. Thompson
language : en
Publisher: John Wiley & Sons
Release Date : 1973
A General Theory Of Elastic Stability written by J. M. T. Thompson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Science categories.
A Translation Of The Stability Of Elastic Equilibrium
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Author : Warner Tjardus Koiter
language : en
Publisher:
Release Date : 1970
A Translation Of The Stability Of Elastic Equilibrium written by Warner Tjardus Koiter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Cylinders categories.
A general theory of elastic stability is presented. In contrast to previous works in the field, the present analysis is augmented by an investigation of the behavior of the buckled structure in the immediate neighborhood of the bifurcation point. This investigation explains why some structures, e.g., a flat plate supported along its edges and subjected to thrust in its plane, are capable of carrying loads considerably above the buckling load, while other structures, e.g., an axially loaded cylindrical shell, collapse at loads far below the theoretical critical load.