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Stability Bifurcation And Postcritical Behaviour Of Elastic Structures
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Book Synopsis Stability, Bifurcation and Postcritical Behaviour of Elastic Structures by : M. Pignataro
Download or read book Stability, Bifurcation and Postcritical Behaviour of Elastic Structures written by M. Pignataro and published by Elsevier. This book was released on 2013-10-22 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Stability of Continuous Elastic Structures by : Mario Como
Download or read book Theory of Stability of Continuous Elastic Structures written by Mario Como and published by Routledge. This book was released on 2022-01-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stability of Structures by : Z. P. Bažant
Download or read book Stability of Structures written by Z. P. Bažant and published by Courier Corporation. This book was released on 2003-01-01 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploration of principles and applications emphasizes nonelastic stability, focusing on problems of fracture and damage, thermodynamics of stability in irreversible systems, and other key areas. 700 exercise problems. 1991 edition.
Book Synopsis Stability of Elastic Structures by : N.A. Alfutov
Download or read book Stability of Elastic Structures written by N.A. Alfutov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stability and Bifurcation of Structures by : Angelo Luongo
Download or read book Stability and Bifurcation of Structures written by Angelo Luongo and published by Springer Nature. This book was released on 2023-06-27 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Bifurcation and Buckling in Structures by : Kiyohiro Ikeda
Download or read book Bifurcation and Buckling in Structures written by Kiyohiro Ikeda and published by CRC Press. This book was released on 2021-12-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Stability of Elastic Systems by : S. J. Britvec
Download or read book The Stability of Elastic Systems written by S. J. Britvec and published by Elsevier. This book was released on 2014-07-03 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis 50+ Years of AIMETA by : Giuseppe Rega
Download or read book 50+ Years of AIMETA written by Giuseppe Rega and published by Springer Nature. This book was released on 2022-06-04 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Phenomenological and Mathematical Modelling of Structural Instabilities by : Marcello Pignataro
Download or read book Phenomenological and Mathematical Modelling of Structural Instabilities written by Marcello Pignataro and published by Springer Science & Business Media. This book was released on 2007-07-15 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Resolution Of The Twentieth Century Conundrum In Elastic Stability by : Isaac E Elishakoff
Download or read book Resolution Of The Twentieth Century Conundrum In Elastic Stability written by Isaac E Elishakoff and published by World Scientific. This book was released on 2014-05-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Dynamic Behavior of Concrete Structures by : Y.L. Mo
Download or read book Dynamic Behavior of Concrete Structures written by Y.L. Mo and published by Elsevier. This book was released on 2013-10-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stability of Structures by Finite Element Methods by : Z. Waszczyszyn
Download or read book Stability of Structures by Finite Element Methods written by Z. Waszczyszyn and published by Elsevier. This book was released on 2013-10-22 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Coupled Instabilities In Metal Structures: Cims'96 by : Dan Dubina
Download or read book Coupled Instabilities In Metal Structures: Cims'96 written by Dan Dubina and published by World Scientific. This book was released on 1996-08-16 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Buckling and Postbuckling of Beams, Plates, and Shells by : M. Reza Eslami
Download or read book Buckling and Postbuckling of Beams, Plates, and Shells written by M. Reza Eslami and published by Springer. This book was released on 2017-11-03 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.
Book Synopsis Structural Stability in Engineering Practice by : Lajos Kollar
Download or read book Structural Stability in Engineering Practice written by Lajos Kollar and published by CRC Press. This book was released on 2003-09-01 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural Stability in Engineering Practice elucidates the various problems associated with attaining stability, and provides the results for practical use by the design engineer. By presenting a simple and visual description of the physical phenomena, the authors show how to determine the critical loads of various structures, such as frames, arches, building structures, trusses and sandwiches. Special emphasis is given to the post-critical behaviour - essential for assessing the safety of structures - and furthermore to the summation theories that make the solution of complicated stability problems relatively simple.
Book Synopsis Global Nonlinear Dynamics for Engineering Design and System Safety by : Stefano Lenci
Download or read book Global Nonlinear Dynamics for Engineering Design and System Safety written by Stefano Lenci and published by Springer. This book was released on 2018-09-24 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which exploits concepts and tools of global nonlinear dynamics for bridging the gap between theoretical and practical stability of systems/structures, and for possibly enhancing the engineering design in macro-, micro- and nano-mechanics. Addressed topics include complementing theoretical and practical stability to achieve load carrying capacity; dynamical integrity for analyzing global dynamics, for interpreting/predicting experimental behavior, for getting hints towards engineering design; techniques for control of chaos; response of uncontrolled and controlled system/models in applied mechanics and structural dynamics by also considerung the effect of system imperfections; from relatively simple systems to multidimensional models representative of real world applications; potential and expected impact of global dynamics for engineering design.
Book Synopsis Fiber-Reinforced-Plastic (FRP) Reinforcement for Concrete Structures by : David A. Hensher
Download or read book Fiber-Reinforced-Plastic (FRP) Reinforcement for Concrete Structures written by David A. Hensher and published by Elsevier. This book was released on 2016-01-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of fiber reinforced plastic (FRP) composites for prestressed and non-prestressed concrete reinforcement has developed into a technology with serious and substantial claims for the advancement of construction materials and methods. Research and development is now occurring worldwide. The 20 papers in this volume make a further contribution in advancing knowledge and acceptance of FRP composites for concrete reinforcement. The articles are divided into three parts. Part I introduces FRP reinforcement for concrete structures and describes general material properties and manufacturing methods. Part II covers a three-continent perspective of current R&D, design and code implementations, and technical organizations' activities. Part III presents an in-depth description of commercially-available products, construction methods, and applications. The work is intended for engineers, researchers, and developers with the objective of presenting them with a world-wide cross-section of initiatives, representative products and significant applications.
