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The Dynamic Stability Of Elastic Systems
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Book Synopsis Dynamic Stability of Suddenly Loaded Structures by : George J. Simitses
Download or read book Dynamic Stability of Suddenly Loaded Structures written by George J. Simitses and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic instability or dynamic buckling as applied to structures is a term that has been used to describe many classes of problems and many physical phenomena. It is not surprising, then, that the term finds several uses and interpretations among structural mechanicians. Problems of parametric resonance, follower-force, whirling of rotating shafts, fluid-solid interaction, general response of structures to dynamic loads, and several others are all classified under dynamic instability. Many analytical and experimental studies of such problems can be found in several books as either specialized topics or the main theme. Two such classes, parametric resonance and stability of nonconservative systems under static loads (follower-force problems), form the main theme of two books by V. V. Bolotin, which have been translated from Russian. Moreover, treatment of aero elastic instabilities can be found in several textbooks. Finally, analytical and experimental studies of structural elements and systems subjected to intense loads (of very short duration) are the focus of the recent monograph by Lindberg and Florence. The first chapter attempts to classify the various "dynamic instability" phenomena by taking into consideration the nature of the cause, the character of the response, and the history of the problem. Moreover, the various concepts and methodologies as developed and used by the various investigators for estimating critical conditions for suddenly loaded elastic systems are fully described. Chapter 2 demonstrates the concepts and criteria for dynamic stability through simple mechanical models with one and two degrees of freedom.
Book Synopsis Dynamic Stability of Structures by : Wei-Chau Xie
Download or read book Dynamic Stability of Structures written by Wei-Chau Xie and published by Cambridge University Press. This book was released on 2006-06-05 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the theory of parametric stability of structures under deterministic and stochastic loadings.
Book Synopsis The Dynamic Stability of Elastic Systems by : Vladimir Vasilʹevich Bolotin
Download or read book The Dynamic Stability of Elastic Systems written by Vladimir Vasilʹevich Bolotin and published by . This book was released on 1964 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Theory of Elastic Rods by : Teodor M. Atanackovic
Download or read book Stability Theory of Elastic Rods written by Teodor M. Atanackovic and published by World Scientific. This book was released on 1997 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.
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 Stability of Structures by : Z. P. Ba?ant
Download or read book Stability of Structures written by Z. P. Ba?ant and published by World Scientific. This book was released on 2010 with total page 1039 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fundamentals of Structural Stability by : George Simitses
Download or read book Fundamentals of Structural Stability written by George Simitses and published by Butterworth-Heinemann. This book was released on 2006-01-03 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace.
Book Synopsis Methods of Analytical Dynamics by : Leonard Meirovitch
Download or read book Methods of Analytical Dynamics written by Leonard Meirovitch and published by Courier Corporation. This book was released on 2012-04-26 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encompassing formalism and structure in analytical dynamics, this graduate-level text discusses fundamentals of Newtonian and analytical mechanics, rigid body dynamics, problems in celestial mechanics and spacecraft dynamics, more. 1970 edition.
Book Synopsis Theory of Elastic Stability by : Stephen P. Timoshenko
Download or read book Theory of Elastic Stability written by Stephen P. Timoshenko and published by Courier Corporation. This book was released on 2012-05-04 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topics on Mathematics for Smart Systems by : Bernadette Miara
Download or read book Topics on Mathematics for Smart Systems written by Bernadette Miara and published by World Scientific. This book was released on 2007 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers articles presented at a prominent European conference on smart systems and summarizes the activities carried out by a research and training network supported by the European community. The contributions aim to exhibit new research topics in the areas of materials science, advanced mathematical tools, and elements of control and numerical algorithms relevant to the design and optimization of smart systems.
Book Synopsis Dynamic Stability of Structures by : George J. Simitses
Download or read book Dynamic Stability of Structures written by George J. Simitses and published by . This book was released on 1981 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural configurations subjected to loads that fall under the category of an ideal impulse are considered. Emphasis is placed on systems that exhibit either limit point instability or an unstable bifurcational branch in the post-buckling region. The purpose of the present work is to investigate the concept of dynamic stability of structural elements subjected to step-loads and develop the related criteria and estimates for finding critical conditions. The step load consists of a suddenly applied load of constant magnitude and finite duration t sub o, and the investigation will include the two extreme cases of t sub o approaches infinity and t sub o approaches 0 (ideal impulse). Moreover, the effect of various parameters (small damping and preloading) on the critical conditions is studied. The developed solution methodology is demonstrated through a geometrically imperfect model and a load eccentricity model of one degree of freedom and a snap-through model of two degrees of freedom. (Author).
Book Synopsis Fundamentals of Structural Mechanics, Dynamics, and Stability by : A.I. Rusakov
Download or read book Fundamentals of Structural Mechanics, Dynamics, and Stability written by A.I. Rusakov and published by CRC Press. This book was released on 2020-12-15 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the material from general theory and fundamentals through to practical applications. Explains the finite element method for elastic bodies, trusses, frames, non-linear behavior of materials, and more. Includes numerous practical worked examples and case studies throughout each chapter.
Book Synopsis Stability and Oscillation of Elastic Systems by : I︠A︡kov Gilelevich Panovko
Download or read book Stability and Oscillation of Elastic Systems written by I︠A︡kov Gilelevich Panovko and published by . This book was released on 1973 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems such as jumps in elastic systems, problems of aeroelasticity, problems of frictional self-oscillations, and self-synchronization are discussed. The stability of equilibrium shapes of elastic systems is examined. Problems of oscillations of linear systems are discussed, including systems with a fractional number of degrees of freedom as well as free oscillations of a cantilever in the field of centrifugal forces.
Book Synopsis Dynamic Stability of Structures by : George Herrmann
Download or read book Dynamic Stability of Structures written by George Herrmann and published by Elsevier. This book was released on 2014-06-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Stability of Structures covers the proceedings of an International Conference on Dynamic Stability of Structures, held in Northwestern University, Evanston, Illinois on October 18-20, 1965, jointly sponsored by the Air Force of Scientific Research and Northwestern University. The conference aims to delineate the various categories of dynamic stability phenomena. This book is organized into six sections encompassing 20 chapters that tackle general topics such as mathematical methods of analysis, physical phenomena, design applications in engineering, and reports of field research. The first two sections deal with the fundamentals, principles, and concept of dynamic stability, as well as an introduction to the use of computing machines as an aid in studying the motions of complicated dynamical systems. The succeeding two sections highlight the statistical aspects in the structural stability theory and certain problems of structural dynamic. These sections also look into the dynamic buckling of elastic structures and the buckling of long slender ships due to wave-induced whipping. The last two sections explore the stability and vibration problems of mechanical systems under harmonic excitation and the dynamic buckling under step loading. These sections also include discussions on the nonlinear dynamic response of shell-type structures and of a column under random loading, as well as Italian research in the field. Structural and mechanical engineers will find this book invaluable.
Book Synopsis Modern Trends in Structural and Solid Mechanics 2 by : Noel Challamel
Download or read book Modern Trends in Structural and Solid Mechanics 2 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Book Synopsis W.T. Koiter's Elastic Stability of Solids and Structures by : Arnold van der Heijden
Download or read book W.T. Koiter's Elastic Stability of Solids and Structures written by Arnold van der Heijden and published by . This book was released on 2009 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Stabilization of Infinite Dimensional Systems with Applications by : Zheng-Hua Luo
Download or read book Stability and Stabilization of Infinite Dimensional Systems with Applications written by Zheng-Hua Luo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on recent achievements in stability and feedback stabilization of infinite systems. In particular emphasis is placed on second order partial differential equations, such as Euler-Bernoulli beam equations, which arise from vibration control of flexible robots arms and large space structures. Various control methods such as sensor feedback control and dynamic boundary control are applied to stabilize the equations. Many new theorems and methods are included in the book. Proof procedures of existing theorems are simplified, and detailed proofs have been given to most theorems. New results on semigroups and their stability are presented, and readers can learn several useful techniques for solving practical engineering problems. Until now, the recently obtained research results included in this book were unavailable in one volume. This self-contained book is an invaluable source of information for all those who are familiar with some basic theorems of functional analysis.
