Stability Bifurcation And Postcritical Behaviour Of Elastic Structures

Author : M. Pignataro,N. Rizzi,A. Luongo
Publisher : Elsevier
Page : 375 pages
File Size : 52,9 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483290836

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Stability, Bifurcation and Postcritical Behaviour of Elastic Structures by M. Pignataro,N. Rizzi,A. Luongo Pdf

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.

Author : Mario Como
Publisher : Routledge
Page : 272 pages
File Size : 53,8 Mb
Release : 2022-01-27
Category : Mathematics
ISBN : 9781351408530

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Theory of Stability of Continuous Elastic Structures by Mario Como Pdf

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.

Author : Z. P. Ba?ant,Luigi Cedolin
Publisher : World Scientific
Page : 1039 pages
File Size : 53,7 Mb
Release : 2010
Category : Technology & Engineering
ISBN : 9789814317023

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Stability of Structures by Z. P. Ba?ant,Luigi Cedolin Pdf

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.

Author : Angelo Luongo,Manuel Ferretti,Simona Di Nino
Publisher : Springer Nature
Page : 712 pages
File Size : 50,9 Mb
Release : 2023-06-27
Category : Technology & Engineering
ISBN : 9783031275722

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Stability and Bifurcation of Structures by Angelo Luongo,Manuel Ferretti,Simona Di Nino Pdf

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

Author : N.A. Alfutov
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 45,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783540490982

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Stability of Elastic Structures by N.A. Alfutov Pdf

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.

Author : Kiyohiro Ikeda,Kazuo Murota
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 54,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475736977

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Imperfect Bifurcation in Structures and Materials by Kiyohiro Ikeda,Kazuo Murota Pdf

Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.

Author : S. J. Britvec
Publisher : Elsevier
Page : 480 pages
File Size : 52,5 Mb
Release : 2014-07-03
Category : Technology & Engineering
ISBN : 9781483185170

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The Stability of Elastic Systems by S. J. Britvec Pdf

The Stability of Elastic Systems presents some of the most important aspects of the stability and the non-linear behavior at finite deformations of several types of structural elastic systems, which are important for a more precise understanding of the static performance of such systems. This book is divided into eight chapters that aim to complete parts of classical, eigenvalue, theories of buckling and to demonstrate the important role played by finite deformations in the theoretical analyses of stability. Other chapters discuss the properties of prismatic members and the post-buckling behavior of plane frameworks. A chapter describes the elastic buckling and stability of statically determinate space frameworks. The remaining chapters cover the elastic buckling of statically indeterminate pin-jointed systems and space frameworks. These chapters also examine the non-conservative aspects of structural systems. This book will be of great value to practicing engineers and students.

Author : Kiyohiro Ikeda,Kazuo Murota
Publisher : CRC Press
Page : 394 pages
File Size : 46,6 Mb
Release : 2021-12-30
Category : Technology & Engineering
ISBN : 9781000508659

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Bifurcation and Buckling in Structures by Kiyohiro Ikeda,Kazuo Murota Pdf

Bifurcation and Buckling in Structures describes the theory and analysis of bifurcation and buckling in structures. Emphasis is placed on a general procedure for solving nonlinear governing equations and an analysis procedure related to the finite-element method. Simple structural examples using trusses, columns, and frames illustrate the principles. Part I presents fundamental issues such as the general mathematical framework for bifurcation and buckling, procedures for the buckling load/mode analyses, and numerical analysis procedures to trace the solution curves and switch to bifurcation solutions. Advanced topics include asymptotic theory of bifurcation and bifurcation theory of symmetric systems. Part II deals with buckling of perfect and imperfect structures. An overview of the member buckling of columns and beams is provided, followed by the buckling analysis of truss and frame structures. The worst and random imperfections are studied as advanced topics. An extensive review of the history of buckling is presented. This text is ideal for advanced undergraduate and graduate students in engineering and applied mathematics. To assist readers, problems are listed at the end of each chapter, and their answers are given at the end of the book. Kiyohiro Ikeda is Professor Emeritus at Tohoku University, Japan. Kazuo Murota is a Project Professor at the Institute of Statistical Mathematics, Japan, as well as Professor Emeritus at the University of Tokyo, Kyoto University, and Tokyo Metropolitan University, Japan.

Author : Giuseppe Rega
Publisher : Springer Nature
Page : 505 pages
File Size : 52,7 Mb
Release : 2022-06-04
Category : Technology & Engineering
ISBN : 9783030941956

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50+ Years of AIMETA by Giuseppe Rega Pdf

The book retraces the history of the Italian Association of Theoretical and Applied Mechanics (AIMETA) since its establishment in 1965. AIMETA is the official Italian association of mechanics adhering to IUTAM (International Union of Theoretical and Applied Mechanics), which organizes and coordinates a meaningful number of research activities, the most important of which are the biennial National Congress and the internationally renowned journal “Meccanica”, published by Springer. Besides collecting and organizing all related important data and information, as far as possible, by distinguishing among the five scientific areas – general mechanics, solids, structures, fluids, machines – encompassed by AIMETA, the history of the association is assumed as a proper perspective to overview the evolution of theoretical and applied mechanics in Italy over about the last fifty years. This is accomplished in the first part of the book. with also a specific focus on the mechanics of solids and structures, where the biographies of a meaningful number of recognized Italian scholars of mechanics in all areas are also provided, along with testimonials and memories by a few senior people meaningfully involved with AIMETA and Italian mechanics. The second part gives an account, although unavoidably incomplete, of recent developments of mechanical sciences in Italy, as reflected also in the activities of AIMETA and with reference to the international context. Contributions by a number of invited senior scholars, still very active, consist of overviews on some scientific themes in the various areas, summaries of achievements of research groups, expressions of research viewpoints, prospects for future developments.

Author : George J. Simitses
Publisher : Prentice Hall
Page : 280 pages
File Size : 41,5 Mb
Release : 1976
Category : Science
ISBN : STANFORD:36105030239425

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An Introduction to the Elastic Stability of Structures by George J. Simitses Pdf

Author : Marcello Pignataro,Victor Gioncu
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 44,7 Mb
Release : 2007-07-15
Category : Technology & Engineering
ISBN : 9783211380284

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Phenomenological and Mathematical Modelling of Structural Instabilities by Marcello Pignataro,Victor Gioncu Pdf

The study of structural instability plays a role of primary importance in the field of applied mechanics. Despite the remarkable progresses made in the recent past years, the structural instability remains one of the most challenging topics in applied - chanics. Many problems have bee:: solved in the last decades but still many others remain to be solved satisfactorily. The increasing number of papers published in jo- nals and conferences organized by ECCS, SSRC, IUTAM, and EUROMECH strongly indicates the interest of scientists and engineers in the subject. A careful examination of these publications shows that they tend to fall into one of the two categories. The first is that of practical design direction in which methods for analyzing specific stability problems related to some specific structural typologies are developed. The research works are restricted to determining the critical load, considering that it is sufficient to know the limits of stability range. These studies are invaluable since their aim is to provide solutions to practical problems, to supply the designer with data useful for design and prepare norms, specifications and codes. The second direction is that of theoretical studies, aiming at a mathematical modeling of the instability problems, for a better understanding of the phenomena. In these studies, special emphasis is placed on the behavior of structures after the loss of stability in the post-critical range. This approach is less familiar to designers as its results have not yet become part of current structural design practice.

Author : Luis A. Godoy
Publisher : CRC Press
Page : 454 pages
File Size : 47,8 Mb
Release : 1999-11-01
Category : Science
ISBN : 1560328576

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Theory of Elastic Stability by Luis A. Godoy Pdf

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.

Author : Y.L. Mo
Publisher : Elsevier
Page : 409 pages
File Size : 52,5 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483290478

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Dynamic Behavior of Concrete Structures by Y.L. Mo Pdf

This book is concerned with the dynamic behavior of reinforced/prestressed concrete structures, such as: buildings and bridges. It discusses how to predict or check the real inelastic behavior of concrete structures subjected to dynamic loads, including equipment loads, earthquake motions, seismic interactions and missile impacts. A number of techniques have recently been developed to assist in evaluating such occurrences. This book is intended to apply structural dynamics to concrete structures and is appropriate as a textbook for an introductory course in dynamic behavior of concrete structures at the upper-undergraduate or graduate level as well as for practicing engineers.

Author : Z. Waszczyszyn,Cz. Cichon,M. Radwanska
Publisher : Elsevier
Page : 483 pages
File Size : 50,7 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483290553

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Stability of Structures by Finite Element Methods by Z. Waszczyszyn,Cz. Cichon,M. Radwanska Pdf

This book is the consequence of research undertaken by the authors in the field of advanced problems of structural mechanics. Stability analysis of structures comes under this area because of the complex models and computational methods needed for analysis. In the mid seventies, a joint effort began between a group of researchers and teachers of the Department of Civil Engineering and Computer Center of the Cracow University of Technology. One of the important results of the collaboration has been this publication.

Author : Dan Dubina,Victor Gioncu,Jacques Rondal
Publisher : World Scientific
Page : 598 pages
File Size : 49,8 Mb
Release : 1996-08-16
Category : Electronic
ISBN : 9781783263554

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Coupled Instabilities In Metal Structures: Cims'96 by Dan Dubina,Victor Gioncu,Jacques Rondal Pdf

Since the early 1960s, coupled instabilities — also called compound buckling, simultaneous buckling or interactive buckling — have been a topic that was studied by many researchers. However, despite some excellent theoretical works in this field, the relevant subject is not yet satisfactorily considered in modern design codes for metal structures. To fill up this gap and to improve the current situation, a series of International Conferences 'Coupled Instabilities in Metal Structures' was launched in 1992 with the main aim of encouraging an exchange of views between researchers and engineers on the various aspects of coupled instabilities. The success of the first conference, held at Timisoara (Romania) in 1992, and organized by Professors D Dubina & V Gioncu (Politechnica University of Timisoara) and J Rondal (Univ. of Liège), has encouraged the organization of a second conference, to be held in Liège (Belgium) during September 5-7, 1996. A third conference is still forecast for the year 2000.