W T Koiter S Elastic Stability Of Solids And Structures
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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.
W T Koiter S Elastic Stability Of Solids And Structures
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Author : Arnold van der Heijden
language : en
Publisher:
Release Date : 2009
W T Koiter S Elastic Stability Of Solids And Structures written by Arnold van der Heijden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Elastic analysis (Engineering) categories.
Resolution Of The Twentieth Century Conundrum In Elastic Stability
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Author : Isaac E Elishakoff
language : en
Publisher: World Scientific
Release Date : 2014-05-29
Resolution Of The Twentieth Century Conundrum In Elastic Stability written by Isaac E Elishakoff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-29 with Technology & Engineering categories.
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.
Stability Of Elastic Structures
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Author : N.A. Alfutov
language : en
Publisher: Springer
Release Date : 2010-12-15
Stability Of Elastic Structures written by N.A. Alfutov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-15 with Science categories.
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.
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.
The Stability Of Frames
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Author : M. R. Horne
language : en
Publisher: Elsevier
Release Date : 2014-05-16
The Stability Of Frames written by M. R. Horne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Technology & Engineering categories.
The Stability of Frames provides a vivid picture of phenomena affecting the stability of plane, rigid-jointed, triangulated and non-triangulated frames. This book discusses the energy methods that are of prime importance in dealing with the stability of isolated members and of plate elements within members. Organized into five chapters, this book begins with an overview of the essential features of stability in elastic and elastic-plastic structures by reference to single members bending about one axis. This text then examines the stability functions for prismatic elastic members. Other chapters consider the elastic stability of triangulated frames and with non-triangulated frames. This book discusses as well the principles of structural analysis that are the same for all frames, whether or not axial loads in members are sufficient to affect their stiffness. The final chapter deals with the behavior of both triangulated and non-triangulated frames beyond the elastic limit. This book is a valuable resource for engineers.
Shapes And Dynamics Of Granular Minor Planets
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Author : Ishan Sharma
language : en
Publisher: Springer
Release Date : 2016-11-01
Shapes And Dynamics Of Granular Minor Planets written by Ishan Sharma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-01 with Science categories.
This book develops a general approach that can be systematically refined to investigate the statics and dynamics of deformable solid bodies. These methods are then employed to small bodies in the Solar System. With several space missions underway and more being planned, interest in our immediate neighbourhood is growing. In this spirit, this book investigates various phenomena encountered in planetary science, including disruptions during planetary fly-bys, equilibrium shapes and stability of small rubble bodies, and spin-driven shape changes. The flexible procedure proposed here will help readers gain valuable insights into the mechanics of solar system bodies, while at the same time complementing numerical investigations. The technique itself is built upon the virial method successfully employed by Chandrasekhar (1969) to study the equilibrium shapes of spinning fluid objects. However, here Chandrasekhar’s approach is modified in order to study more complex dynamical situations and include objects of different rheologies, e.g., granular aggregates, or “rubble piles”. The book is largely self-contained, though some basic familiarity with continuum mechanics will be beneficial.
Stability And Bifurcation Of Structures
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Author : Angelo Luongo
language : en
Publisher: Springer Nature
Release Date : 2023-06-27
Stability And Bifurcation Of Structures written by Angelo Luongo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-27 with Technology & Engineering categories.
This book overcomes the separation existing in literature between the static and the dynamic bifurcation worlds. It brings together buckling and post-buckling problems with nonlinear dynamics, the bridge being represented by the perturbation method, i.e., a mathematical tool that allows for solving static and dynamic problems virtually in the same way. The book is organized as follows: Chapter one gives an overview; Chapter two illustrates phenomenological aspect of static and dynamic bifurcations; Chapter three deals with linear stability analysis of dynamical systems; Chapter four and five discuss the general theory and present examples of buckling and post-buckling of elastic structures; Chapter six describes a linearized approach to buckling, usually adopted in the technical literature, in which pre-critical deformations are neglected; Chapters seven to ten, analyze elastic and elasto-plastic buckling of planar systems of beams, thin-walled beams and plate assemblies, respectively; Chapters eleven to thirteen, illustrate dynamic instability phenomena, such as flutter induced by follower forces, aeroelastic bifurcations caused by wind flow, and parametric excitation triggered by pulsating loads. Finally, Chapter fourteen discusses a large gallery of solved problems, concerning topics covered in the book. An Appendix presents the Vlasov theory of open thin-walled beams. The book is devoted to advanced undergraduate and graduate students, as well as engineers and practitioners. The methods illustrated here are immediately applicable to model real problems. The Book Introduces, in a simple way, complex concepts of bifurcation theory, by making use of elementary mathematics Gives a comprehensive overview of bifurcation of linear and nonlinear structures, in static and dynamic fields Contains a chapter in which many problems are solved, either analytically or numerically, and results commented
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.
Stability Of Structures
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Author : Z. P. Ba?ant
language : en
Publisher: World Scientific
Release Date : 2010
Stability Of Structures written by Z. P. Ba?ant and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Technology & Engineering categories.
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.