Stability of structures is one of the most important and interesting fields in mechanics. This book is dedicated to fundamental concepts, problems and methods of structural stability along with qualitative understanding of instability phenomena. The methods presented are constructive and easy to implement in computer programs. Recent exciting experiments on dynamic stability of non-conservative systems are described and shown by many photographs.
An understanable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace.
The current trend of building more streamlined structures has made stability analysis a subject of extreme importance. It is mostly a safety issue because Stability loss could result in an unimaginable catastrophe. Written by two authors with a combined 80 years of professional and academic experience, the objective of Stability of Structures: Principles and Applications is to provide engineers and architects with a firm grasp of the fundamentals and principles that are essential to performing effective stability analysts. Concise and readable, this guide presents stability analysis within the context of elementary nonlinear flexural analysis, providing a strong foundation for incorporating theory into everyday practice. The first chapter introduces the buckling of columns. It begins with the linear elastic theory and proceeds to include the effects of large deformations and inelastic behavior. In Chapter 2 various approximate methods are illustrated along with the fundamentals of energy methods. The chapter concludes by introducing several special topics, some advanced, that are useful in understanding the physical resistance mechanisms and consistent and rigorous mathematical analysis. Chapters 3 and 4 cover buckling of beam-columns. Chapter 5 presents torsion in structures in some detail, which is one of the least well understood subjects in the entire spectrum of structural mechanics. Strictly speaking, torsion itself does not belong to a topic in structural stability, but needs to be covered to some extent for a better understanding of buckling accompanied with torsional behavior. Chapters 6 and 7 consider stability of framed structures in conjunction with torsional behavior of structures. Chapters 8 to 10 consider buckling of plate elements, cylindrical shells, and general shells. Although the book is primarily devoted to analysis, rudimentary design aspects are discussed. - Balanced presentation for both theory and practice - Well-blended contents covering elementary to advanced topics - Detailed presentation of the development
An integration of modern work in structural stability theory, this volume focuses on the Koiter postbuckling analyses, with mathematical notions of stability of motion. In relation to discrete and continuous systems, it bases the minimum energy principles for static stability upon the dynamic concepts of stability of motion. It further develops the asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches.
This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects of nonconservative stability problems, analysis of singularities of boundaries for the stability domains, stability analysis of multiparameter linear periodic systems, and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems.A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems, etc. The methods presented are constructive and easy to implement in computer programs.This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics.
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.
FirstEdition DUE TO THE necessity to save weight and materialin the design ofmodern structures and machines, stability problems have become increasingly im portant. The classicalengineering approach to this type of problem has been characterized by the tacit assumption that structures are nongyroscopic conservative systems, that is, bythegeneraladoptionofthemethodsdeveloped for this particular case. During the last decades numerous stability problems of a more complicated nature have become important, and it has therefore become necessary to correlate the various types of problems with the ap proaches to be used in their solution. The principal object ofthis little bookisthis correlation between the systems to be investigated and the methods to be used for this purpose, In other words, our main concern is the choice of a correct approach. It is evident that this idea renders it necessary to distinguish between the various types of problems or systems. At the same time the similarities and the connections between apparently quite different problems will become obvious, and it will be evident that there islittle differencebetween, say, the buckling of a column, thecritical speed of a turbine shaft, and the stability of an airplane, a control mechanism, or an electric circuit.
This book presents a collection of selected lectures discussing current problems in molecular physics and reviews the main cutting-edge advances in condensed and soft matter physics. It offers deep insights and a powerful basis for scientists and engineers to study complicated problems in physics, chemistry, biology, and medicine. The unification of experimental, theoretical, and computational methods allows milestone results to be achieved in areas such as ionic and ionic-electronic liquids, magnetic liquid systems, liquid systems with nanoparticles, structural phase transitions and critical phenomena, and small-angle neutron and X-ray scattering in liquids and liquid systems. The lectures selected for this book were held at the 7th International Conference “Physics of Liquid Matter: Modern Problems” (PLMMP-2016), 27–31 May in Kiev, Ukraine.
Structural Stability: Theory and Implementation is a practical work that provides engineers and students in structural engineering or structured mechanics with the background needed to make the transition from fundamental theory to practical design rules and computer implementation. Beginning with the basic principles of structural stability and basic governing equations, Structural Stability is a concise and comprehensive introduction that applies the principles and theory of structural stability (which are the basis for structural steel design) to the solution of practical building frame design problems. Special features include: modern theories of structural stability of members and frames, and a discussion of how these theories may be utilized to provide design rules and calculation techniques for design important governing equations and the classical solutions used in design processes examples of analytical and numerical methods selected as the most useful and practically applicable methods available detailed information on the stability design rules of the 1986 AISC/LRFD Specifications for the design, fabrication, and erection of structural steel for buildings dual units (SI and English) with most of the material presented in a non-dimensional format fully worked examples, end-of-chapter problems, answers to selected problems, and clear illustrations and tables Am outstandingly practical resource, Structural Stability offers the reader an understanding of the fundamental principles and theory of structural stability not only in an idealized, perfectly elastic system, but also in an inelastic, imperfect system representative of the actual structural systems encountered in engineering practice.
The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation
