Stability Of Gyroscopic Systems

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Publisher : World Scientific
ISBN 13 : 9814499080
Total Pages : 438 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Stability Of Gyroscopic Systems by : Ardeshir Guran

Download or read book Stability Of Gyroscopic Systems written by Ardeshir Guran and published by World Scientific. This book was released on 1999-04-01 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of mechanical systems undergoing rotation about a fixed axis has been the subject of extensive studies over a few centuries. These systems are generally subject to gyroscopic forces which are associated with coriolis accelerations or mass transport and render complex dynamics.The unifying theme among topics presented in this book is the gyroscopic nature of the system equations of motion. The book represents comprehensive and detailed reviews of the state of art in four diverse application areas: flow-induced oscillations in structures, oscillations in rotating systems or rotor dynamics, dynamics of axially moving material systems, and dynamics of gyroelastic systems. The book also includes a chapter on dynamics of repetitive structures. These systems feature spatial periodicity and are generally subject to considerable gyroscopic forces. “Gyroelastic systems” and “repetitive structures” are the topics with very recent origins and are still in their infancies compared to the other examples represented in this book. Thus, the contributions on gyroelastic systems and repetitive structures are limited to only modeling, localization and linear stability analysis results.This book covers many important aspects of recent developments in various types of gyroscopic systems. Thus, at last, a comprehensive book is made available to serve as a supplement and resource for any graduate level course on elastic gyroscopic systems, as well as for a course covering the stability of mechanical systems. Moreover, the inclusion of an up-to-date bibliography attached to each chapter will make this book an invaluable text for professional reference.

Stability of Gyroscopic Systems

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Author :
Publisher : World Scientific
ISBN 13 : 9810226306
Total Pages : 438 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Stability of Gyroscopic Systems by : Ard‚shir Guran

Download or read book Stability of Gyroscopic Systems written by Ard‚shir Guran and published by World Scientific. This book was released on 1999 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of mechanical systems undergoing rotation about a fixed axis has been the subject of extensive studies over a few centuries. These systems are generally subject to gyroscopic forces which are associated with coriolis accelerations or mass transport and render complex dynamics.The unifying theme among topics presented in this book is the gyroscopic nature of the system equations of motion. The book represents comprehensive and detailed reviews of the state of art in four diverse application areas: flow-induced oscillations in structures, oscillations in rotating systems or rotor dynamics, dynamics of axially moving material systems, and dynamics of gyroelastic systems. The book also includes a chapter on dynamics of repetitive structures. These systems feature spatial periodicity and are generally subject to considerable gyroscopic forces. ?Gyroelastic systems? and ?repetitive structures? are the topics with very recent origins and are still in their infancies compared to the other examples represented in this book. Thus, the contributions on gyroelastic systems and repetitive structures are limited to only modeling, localization and linear stability analysis results.This book covers many important aspects of recent developments in various types of gyroscopic systems. Thus, at last, a comprehensive book is made available to serve as a supplement and resource for any graduate level course on elastic gyroscopic systems, as well as for a course covering the stability of mechanical systems. Moreover, the inclusion of an up-to-date bibliography attached to each chapter will make this book an invaluable text for professional reference.

Proceedings of XXIV AIMETA Conference 2019

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Publisher : Springer Nature
ISBN 13 : 3030410579
Total Pages : 2200 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Proceedings of XXIV AIMETA Conference 2019 by : Antonio Carcaterra

Download or read book Proceedings of XXIV AIMETA Conference 2019 written by Antonio Carcaterra and published by Springer Nature. This book was released on 2020-03-31 with total page 2200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the peer-reviewed papers presented at the XXIV Conference of the Italian Association of Theoretical and Applied Mechanics, held in Rome, Italy, on September 15-19, 2019 (AIMETA 2019). The conference topics encompass all aspects of general, fluid, solid and structural mechanics, as well as mechanics for machines and mechanical systems, including theoretical, computational and experimental techniques and technological applications. As such the book represents an invaluable, up-to-the-minute tool, providing an essential overview of the most recent advances in the field.

Vibrations and Stability of Multiple Parameter Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9789028601369
Total Pages : 238 pages
Book Rating : 4.6/5 (13 download)

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Book Synopsis Vibrations and Stability of Multiple Parameter Systems by : K. Huseyin

Download or read book Vibrations and Stability of Multiple Parameter Systems written by K. Huseyin and published by Springer Science & Business Media. This book was released on 1978-06-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Global Stabilization of Nonlinear Gyroscopic Systems

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Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Global Stabilization of Nonlinear Gyroscopic Systems by : Chih-Jian Wan

Download or read book Global Stabilization of Nonlinear Gyroscopic Systems written by Chih-Jian Wan and published by . This book was released on 1994 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Limits of Stability and Stabilization of Time-Delay Systems

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Publisher : Springer
ISBN 13 : 3319736515
Total Pages : 228 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Limits of Stability and Stabilization of Time-Delay Systems by : Jing Zhu

Download or read book Limits of Stability and Stabilization of Time-Delay Systems written by Jing Zhu and published by Springer. This book was released on 2018-02-05 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This approach is built on the classical small-gain theorem, which enables the author to draw upon powerful tools and techniques from robust control theory. The book contains motivating examples and presents mathematical key facts that are required in the subsequent sections. The target audience primarily comprises researchers and professionals in the field of control theory, but the book may also be beneficial for graduate students alike.

Multiparameter Stability Theory with Mechanical Applications

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Publisher : World Scientific
ISBN 13 : 9789812564443
Total Pages : 428 pages
Book Rating : 4.5/5 (644 download)

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Book Synopsis Multiparameter Stability Theory with Mechanical Applications by : Alexander P. Seyranian

Download or read book Multiparameter Stability Theory with Mechanical Applications written by Alexander P. Seyranian and published by World Scientific. This book was released on 2003 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with fundamental problems, concepts, and methods ofmultiparameter stability theory with applications in mechanics. Itpresents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects ofnonconservative stability problems, analysis of singularities ofboundaries for the stability domains, stability analysis ofmultiparameter linear periodic systems, and optimization of structuresunder stability constraints

Nonconservative Stability Problems of Modern Physics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110653869
Total Pages : 484 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Nonconservative Stability Problems of Modern Physics by : Oleg N. Kirillov

Download or read book Nonconservative Stability Problems of Modern Physics written by Oleg N. Kirillov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-08 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.

Mechanics of Gyroscopic Systems

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Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Mechanics of Gyroscopic Systems by : Aleksandr I︠U︡lʹevich Ishlinskiĭ

Download or read book Mechanics of Gyroscopic Systems written by Aleksandr I︠U︡lʹevich Ishlinskiĭ and published by . This book was released on 1965 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities

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Publisher : World Scientific
ISBN 13 : 9812387196
Total Pages : 351 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities by : Vladimir Andreevich I?A?kubovich

Download or read book Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities written by Vladimir Andreevich I?A?kubovich and published by World Scientific. This book was released on 2004 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines.

Partial Stability and Control

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Publisher : Springer Science & Business Media
ISBN 13 : 1461241502
Total Pages : 442 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Partial Stability and Control by : V.I. Vorotnikov

Download or read book Partial Stability and Control written by V.I. Vorotnikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamic Stability and Bifurcation in Nonconservative Mechanics

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Publisher : Springer
ISBN 13 : 3319937227
Total Pages : 196 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Dynamic Stability and Bifurcation in Nonconservative Mechanics by : Davide Bigoni

Download or read book Dynamic Stability and Bifurcation in Nonconservative Mechanics written by Davide Bigoni and published by Springer. This book was released on 2018-07-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a unified view on classical results and recent advances in the dynamics of nonconservative systems. The theoretical fundamentals are presented systematically and include: Lagrangian and Hamiltonian formalism, non-holonomic constraints, Lyapunov stability theory, Krein theory of spectra of Hamiltonian systems and modes of negative and positive energy, anomalous Doppler effect, reversible systems, sensitivity analysis of non-self-adjoint operators, dissipation-induced instabilities, local and global instabilities. They are applied to engineering situations such as the coupled mode flutter of wings, flags and pipes, flutter in granular materials, piezoelectric mechanical metamaterials, wave dynamics of infinitely long structures, radiative damping, stability of high-speed trains, experimental realization of follower forces, soft-robot locomotion, wave energy converters, friction-induced instabilities, brake squeal, non-holonomic sailing, dynamics of moving continua, and stability of bicycles and walking robots. The book responds to a demand in the modern theory of nonconservative systems coming from the growing number of scientific and engineering disciplines including physics, fluid and solids mechanics, fluid-structure interactions, and modern multidisciplinary research areas such as biomechanics, micro- and nanomechanics, optomechanics, robotics, and material science. It is targeted at both young and experienced researchers and engineers working in fields associated with the dynamics of structures and materials. The book will help to get a comprehensive and systematic knowledge on the stability, bifurcations and dynamics of nonconservative systems and establish links between approaches and methods developed in different areas of mechanics and physics and modern applied mathematics.

Classical Dynamics

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Publisher : Courier Corporation
ISBN 13 : 0486138798
Total Pages : 372 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Classical Dynamics by : Donald T. Greenwood

Download or read book Classical Dynamics written by Donald T. Greenwood and published by Courier Corporation. This book was released on 2012-05-04 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text provides strong background in more abstract areas of dynamical theory. Hamilton's equations, d'Alembert's principle, Hamilton-Jacobi theory, other topics. Problems and references. 1977 edition.

Dynamics of Multibody Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642864619
Total Pages : 392 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Dynamics of Multibody Systems by : K. Magnus

Download or read book Dynamics of Multibody Systems written by K. Magnus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to a proposal made in 1974 by the Gesell schaft fUr Angewandte Mathematik und Mechanik (GAMM) the General Assembly of the International Union of Theoretical and Applied Mechanics (IUTAM) decided in 1975 to sponsor an international symposium on "Dynamics of Multibody Systems". A Scientific Committee has been appointed consisting of J.D.C. Crisp, Australia, T.R. Kane, USA, D.M. Klimov, USSR, A.D. De Pater, Netherlands, K. Magnus, Germany (chairman). This committee selected the participants to be invited and the papers to be presented at the symposium. As a result of this process 82 active scientific partici pants from 15 countries followed the invitation and 29 papers were presented. They are collected in this volume. At the symposium an additional presentation was delivered: Mrs. E. Gottzein introduced and ex plained a recently completed scientific movie on mag netic levitated vehicles. The aim of the symposium was the exchange of ideas and the discussion of methods and results in the field of Multibody Dynamics. This has been achieved by a really efficient scientific and social progr~m, organ ized for the six symposium days by a Local Organizing Committee. Members of this Committee were: S. Ballout, M. Lippmann, P.C. MUller, W.O. Schiehlen, G. Schweitzer, E. Truckenbrodt, K. Magnus (chair man) and members of the staff of the Institute of Mechanics.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1968 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Gyrodynamics and Its Engineering Applications

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Publisher : Academic Press
ISBN 13 : 1483216144
Total Pages : 495 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Gyrodynamics and Its Engineering Applications by : Ronald N. Arnold

Download or read book Gyrodynamics and Its Engineering Applications written by Ronald N. Arnold and published by Academic Press. This book was released on 2014-05-10 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gyrodynamics and Its Engineering Applications deals with the engineering applications of gyrodynamics in a manner that stresses the physical concepts. Topics covered range from the kinematics of rigid bodies to frames of reference, along with moments and products of inertia. Gyro-verticals and the gyrodynamics of machines are also considered. Comprised of 16 chapters, this book begins with a historical background on gyroscopes and an introduction to vectors, the kinematics of a particle, and rotating systems. The emphasis is on certain fundamental ideas governing the movement of bodies in three dimensions. Motion with respect to moving axes is discussed in detail, with particular attention to the intangible Coriolis acceleration. Subsequent chapters focus on the inertial characteristics of bodies and certain dynamical theorems; the motion of a free body and of a symmetrical gyroscope under gravity; gyroscopic vibration absorbers and stabilizers; the gyro-compass; suspensions for gyroscopes; gyro-verticals; and rate and integrating gyroscopes. The book also discusses inertial navigation as well as the whirling of shafts and aircraft gyrodynamics. This monograph is intended primarily for engineers, but should also prove valuable to university teachers, research workers, and those who encounter gyroscopic problems.