Introduction to the Technical Theory of Stability of Motion PDF Download
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Author: Konstantin Andreevich Karacharov
Publisher:
ISBN:
Category : Motion
Languages : en
Pages : 266
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Book Description
Criteria of stability are established with the help of the differential method both with and without using values of roots of characteristic equation.
Author: Konstantin Andreevich Karacharov
Publisher:
ISBN:
Category : Motion
Languages : en
Pages : 266
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Book Description
Criteria of stability are established with the help of the differential method both with and without using values of roots of characteristic equation.
Author: David R. Merkin
Publisher: Springer Science & Business Media
ISBN: 1461240468
Category : Mathematics
Languages : en
Pages : 334
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Book Description
Many books on stability theory of motion have been published in various lan guages, including English. Most of these are comprehensive monographs, with each one devoted to a separate complicated issue of the theory. Generally, the examples included in such books are very interesting from the point of view of mathematics, without necessarily having much practical value. Usually, they are written using complicated mathematical language, so that except in rare cases, their content becomes incomprehensible to engineers, researchers, students, and sometimes even to professors at technical universities. The present book deals only with those issues of stability of motion that most often are encountered in the solution of scientific and technical problems. This allows the author to explain the theory in a simple but rigorous manner without going into minute details that would be of interest only to specialists. Also, using appropriate examples, he demonstrates the process of investigating the stability of motion from the formulation of a problem and obtaining the differential equations of perturbed motion to complete analysis and recommendations. About one fourth of the examples are from various areas of science and technology. Moreover, some of the examples and the problems have an independent value in that they could be applicable to the design of various mechanisms and devices. The present translation is based on the third Russian edition of 1987.
Author: Wolfgang Hahn
Publisher: Springer Science & Business Media
ISBN: 3642500854
Category : Mathematics
Languages : en
Pages : 459
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Book Description
The theory of the stability of motion has gained increasing signifi cance in the last decades as is apparent from the large number of publi cations on the subject. A considerable part of this work is concerned with practical problems, especially problems from the area of controls and servo-mechanisms, and concrete problems from engineering were the ones which first gave the decisin' impetus for the expansion and modern development of stability theory. In comparison with the many single publications, which are num bered in the thousands, the number of books on stability theory, and especially books not \\Titten in Russian, is extraordinarily small. Books which giw the student a complete introduction into the topic and which simultaneously familiarize him with the newer results of the theory and their applications to practical questions are completely lacking. I hope that the book which I hereby present will to some extent do justice to this double task. I haw endeavored to treat stability theory as a mathe matical discipline, to characterize its methods, and to prove its theorems rigorollsly and completely as mathematical theorems. Still I always strove to make reference to applications, to illustrate the arguments with examples, and to stress the interaction between theory and practice. The mathematical preparation of the reader should consist of about two to three years of university mathematics.
Author: A M Lyapunov
Publisher: CRC Press
ISBN: 9780748400621
Category : Science
Languages : en
Pages : 284
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Book Description
This book makes more widely accessible the text of Lyapunov's major memoir of the general problem of the stability of motion. Translated by A. T. Fuller (University of Cambridge), the work is now available for the first time in the English language, and marked the centenary of the Russian publication in the late 1800s. Including a biography of Lyapunov and a comprehensive bibliography of his work, this excellent volume will prove to be of fundamental interest to all those concerned with the concept of the stability of motion, boundaries of stability, and with nonlinear dynamics.
Author: J. Russell
Publisher: Butterworth-Heinemann
ISBN: 0080538649
Category : Technology & Engineering
Languages : en
Pages : 317
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Book Description
The performance, stability, control and response of aircraft are key areas of aeronautical engineering. This book provides a comprehensive overview to the underlying theory and application of what are often perceived to be difficult topics. Initially it introduces the reader to the fundamental concepts underlying performance and stability, including lift characteristics and estimation of drag, before moving on to a more detailed analysis of performance in both level and climbing flight. Pitching motion is then described followed by a detailed discussion of all aspects of both lateral and longitudinal stability and response. It finishes with an examination of inertial cross-coupling and automatic control and stabilization. The student is helped to think in three dimensions throughout the book by the use of illustrative examples. The progression from one degree of freedom to six degrees of freedom is gradually introduced. The result is an approach dealing specifically with all aspects of performance, stability and control that fills a gap in the current literature. It will be essential reading for all those embarking on degree level courses in aeronautical engineering and will be of interest to all with an interest in stability and dynamics, including those in commercial flying schools who require an insight into the performance of their aircraft. - Ideal for undergraduate aeronautical engineers - Three-dimensional thinking introduced through worked examples and simple situations
Author: Clive L. Dym
Publisher: Courier Dover Publications
ISBN: 9780486425412
Category : Structural stability
Languages : en
Pages : 0
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Book Description
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.
Author: Anatoly A. Martynyuk
Publisher: Birkhäuser
ISBN: 3319422138
Category : Mathematics
Languages : en
Pages : 233
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Book Description
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
Author: Alexander P. Seyranian
Publisher: World Scientific
ISBN: 9812384065
Category : Technology & Engineering
Languages : en
Pages : 421
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 724
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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: Thomas R. Yechout
Publisher: AIAA
ISBN: 9781600860782
Category : Aerodynamics
Languages : en
Pages : 666
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Book Description
Based on a 15-year successful approach to teaching aircraft flight mechanics at the US Air Force Academy, this text explains the concepts and derivations of equations for aircraft flight mechanics. It covers aircraft performance, static stability, aircraft dynamics stability and feedback control.
