Download or read book On the Stability of Dissipative Gyroscopic Systems written by M. Yazici and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability of Gyroscopic Systems written by Ardshir 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.
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:
Download or read book Nonconservative Stability Problems of Modern Physics written by Oleg N. Kirillov and published by Walter de Gruyter. This book was released on 2013-06-26 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics. It deals with both finite- and infinite-dimensional nonconservative systems and covers the fundamentals of the theory, including such topics as Lyapunov stability and linear stability analysis, Hamiltonian and gyroscopic systems, reversible and circulatory systems, influence of structure of forces on stability, and dissipation-induced instabilities, as well as concrete physical problems, including perturbative techniques for nonself-adjoint boundary eigenvalue problems, theory of the destabilization paradox due to small damping in continuous circulatory systems, Krein-space related perturbation theory for the MHD kinematic mean field α2-dynamo, analysis of Campbell diagrams and friction-induced flutter in gyroscopic continua, non-Hermitian perturbation of Hermitian matrices with applications to optics, and magnetorotational instability and the Velikhov-Chandrasekhar paradox. The book serves present and prospective specialists providing the current state of knowledge in the actively developing field of nonconservative stability theory. Its understanding is vital for many areas of technology, ranging from such traditional ones as rotor dynamics, aeroelasticity and structural mechanics to modern problems of hydro- and magnetohydrodynamics and celestial mechanics.
Download or read book Introduction to the Theory of Stability written by David R. Merkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics of Quasi Stable Dissipative Systems written by Igor Chueshov and published by Springer. This book was released on 2015-09-29 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
Download or read book The Stability of Nonlinear Dissipative Systems written by D. Hill and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1984 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 1956-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mechanics
Download or read book Principles of Structural Stability written by H. Ziegler and published by Birkhäuser. This book was released on 2013-11-21 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Systems Engineering for Power written by United States. Division of Electric Energy Systems. Systems Management & Structuring and published by . This book was released on 1979 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Systems engineering for power written by and published by . This book was released on 1979 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability and Control of Large Scale Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2011-11-14 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control. This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.
Download or read book JSME International Journal written by and published by . This book was released on 1997 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamics and Stability of Parametrically Excited Gyroscopic Systems written by Narayana L. Vedula and published by . This book was released on 2005 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the 15th International Conference on Vibration Problems written by and published by Springer Nature. This book was released on 2024 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the Proceedings of the 15th International Conference on Vibration Problems (ICoVP 2023) and covers vibration problems of engineering both in theoretical and applied fields. Various topics covered in this volume are Vibration in Oil and Gas, Structural Dynamics, Structural Health Monitoring, Rotor Dynamics, Measurement Diagnostics in Vibration, Computational methods in Vibration and Wave Mechanics, Dynamics of Coupled Systems, Dynamics of Micro and Macro Systems, Multi-body dynamics, Nonlinear dynamics Reliability of dynamic systems, Vibrations due to solid/liquid phase interaction, Vibrations of transport systems, Seismic Isolation, Soil dynamics, Geotechnical earthquake engineering Dynamics of concrete structures, Underwater shock waves (Tsunami), Vibration control, uncertainty quantification and reliability analysis of dynamic structures, Vibration problems associated with nuclear power reactors, Earthquake engineering, impact and wind loading and vibration in composite structures and fracture mechanics. This book will be useful for both professionals and researchers working on vibrations problems in multidisciplinary areas.
Download or read book Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations written by Valery V. Kozlov and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the basis of the first approximation alone. The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system’s dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.
