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Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures PDF Author: M. Pignataro
Publisher: Elsevier
ISBN: 1483290832
Category : Technology & Engineering
Languages : en
Pages : 375

Book Description
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.

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures PDF Author: M. Pignataro
Publisher: Elsevier
ISBN: 1483290832
Category : Technology & Engineering
Languages : en
Pages : 375

Book Description
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.

Resolution Of The Twentieth Century Conundrum In Elastic Stability

Resolution Of The Twentieth Century Conundrum In Elastic Stability PDF Author: Isaac E Elishakoff
Publisher: World Scientific
ISBN: 9814583553
Category : Technology & Engineering
Languages : en
Pages : 350

Book Description
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.

Dynamic Behavior of Concrete Structures

Dynamic Behavior of Concrete Structures PDF Author: Y.L. Mo
Publisher: Elsevier
ISBN: 1483290476
Category : Technology & Engineering
Languages : en
Pages : 424

Book Description
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.

Stability of Structures by Finite Element Methods

Stability of Structures by Finite Element Methods PDF Author: Z. Waszczyszyn
Publisher: Elsevier
ISBN: 1483290557
Category : Technology & Engineering
Languages : en
Pages : 483

Book Description
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.

Coupled Instabilities In Metal Structures: Cims'96

Coupled Instabilities In Metal Structures: Cims'96 PDF Author: Dan Dubina
Publisher: World Scientific
ISBN: 1783263555
Category :
Languages : en
Pages : 598

Book Description
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.

Buckling and Postbuckling of Beams, Plates, and Shells

Buckling and Postbuckling of Beams, Plates, and Shells PDF Author: M. Reza Eslami
Publisher: Springer
ISBN: 3319623680
Category : Science
Languages : en
Pages : 603

Book Description
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.

Phenomenological and Mathematical Modelling of Structural Instabilities

Phenomenological and Mathematical Modelling of Structural Instabilities PDF Author: Marcello Pignataro
Publisher: Springer Science & Business Media
ISBN: 3211380280
Category : Technology & Engineering
Languages : en
Pages : 346

Book Description
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.

Global Nonlinear Dynamics for Engineering Design and System Safety

Global Nonlinear Dynamics for Engineering Design and System Safety PDF Author: Stefano Lenci
Publisher: Springer
ISBN: 3319997106
Category : Technology & Engineering
Languages : en
Pages : 327

Book Description
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.

Fiber-Reinforced-Plastic (FRP) Reinforcement for Concrete Structures

Fiber-Reinforced-Plastic (FRP) Reinforcement for Concrete Structures PDF Author: David A. Hensher
Publisher: Elsevier
ISBN: 148329143X
Category : Technology & Engineering
Languages : en
Pages : 459

Book Description
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.

Mathematical Models of Beams and Cables

Mathematical Models of Beams and Cables PDF Author: Angelo Luongo
Publisher: John Wiley & Sons
ISBN: 1118577639
Category : Technology & Engineering
Languages : en
Pages : 266

Book Description
Nonlinear models of elastic and visco-elastic onedimensional continuous structures (beams and cables) are formulated by the authors of this title. Several models of increasing complexity are presented: straight/curved, planar/non-planar, extensible/inextensible, shearable/unshearable, warpingunsensitive/ sensitive, prestressed/unprestressed beams, both in statics and dynamics. Typical engineering problems are solved via perturbation and/or numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and aeroelasticity. Contents 1. A One-Dimensional Beam Metamodel. 2. Straight Beams. 3. Curved Beams. 4. Internally Constrained Beams. 5. Flexible Cables. 6. Stiff Cables. 7. Locally-Deformable Thin-Walled Beams. 8. Distortion-Constrained Thin-Walled Beams.