Stability and oscillations of elastic systems

paradoxes, fallacies, and new concepts
  • 291 Pages
  • 1.35 MB
  • English
Consultants Bureau
Statementby Y.G. Panovka and I. I Gubanova ; trans. from the Russian by C. V. Larrick.
ContributionsGubanova, Iskra Ivanovna.
The Physical Object
ID Numbers
Open LibraryOL13694545M

Additional Physical Format: Online version: Panovko, I︠A︡. (I︠A︡kov Gilelevich). Stability and oscillations of elastic systems. New York, Consultants.

Stability and Oscillations of Elastic Systems: Paradoxes Fallacies and New Concepts Hardcover – January 1, by Ya.

Panovko (Author) See all formats and editions Hide other formats and editions. Price New from Used from Hardcover Cited by: Steady Modes in Relay Control Systems With Time Delay and Periodic Disturbances J. Dyn. Sys., Meas., Control (December, ) Online Combustor Stability Cited by: Additional Physical Format: Online version: Panovko, I︠A︡.

(I︠A︡kov Gilelevich). Stability and oscillation of elastic systems. Washington, National. Stability and oscillation of elastic systems: Modern concepts, paradoxes and errors (NASA TT Fl) [Panovko, I¸ A¸¡. G] on *FREE* shipping on qualifying offers.

Stability and oscillation of elastic systems: Modern concepts, paradoxes and errors (NASA TT Fl)Author: I¸ A¸¡. G Panovko.

Full text of "Stability and oscillation of elastic systems: Modern concepts, paradoxes and errors" See other formats. 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. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This volume is the first monograph on Dynamics of Compressible Viscous Fluid in world scientific literature as applied to the theory of small vibrations (motions) of rigid and elastic bodies in compressible viscous fluid.

The methods of analysis based on the proposed general solutions of linearized. Abstract. Dynamic stability is defined and classified, and examples are given for the various classes of problems.

Criteria are developed for practical stability and it is shown that in a practical elastic column tested in a conventional testing machine stress reversal always precedes the attainment of the maximum load.

This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems.

Download Stability and oscillations of elastic systems EPUB

It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the procedure of linearization of the original non Brand: Springer Singapore.

Instability-driven oscillations of elastic microfilaments Article (PDF Available) in Journal of The Royal Society Interface 15() December. This book reports on solved problems concerning vibrations and stability of complex beam systems.

The complexity of a system is considered from two points of view: the complexity originating from the nature of the structure, in the case of two or more elastically connected beams; and the complexity derived from the dynamic behavior of the system, in the case of a.

Details Stability and oscillations of elastic systems EPUB

Stabilization of the spatial oscillations of an elastic system model A feedback control ensuring strong stability of the equilibrium in the sense of Lyapunov is proposed. Stabilization of Author: Alexander Zuyev.

In this post, we will see the book Applied Methods in the Theory of Nonlinear Oscillations by V. Starzhinskii. About the book: The book is aimed at engineers with a strong mathematical background, scientists working in mechanics and applied mathematics, and undergraduate and postgraduate students of Applied Physics and Physics and Mathematics.

In the present work the oscillations and the stability of elastic and viscoelastic systems, subjected to loads, randomly changing in time, are considered. These loads are assumed in the form of wide-band stationary : V. Potapov, V. Dibrov. In this post, we will see the book Applied Methods in The Theory of Nonlinear Oscillations by V.

Starzhinskii. The book is aimed at engineers with a strong mathematical background, scientists working in mechanics and applied mathematics, and undergraduate and postgraduate students of Applied Physics and Physics and Mathematics departments.

stability with respect to statistical moments of different orders. It is remarked that in some cases the impose of a stochastic noise on the deterministic periodic excitation can render a stabilizing effect on the motion of elastic systems. Index Terms—Elasticity, nonlinear oscillations, stability, top Liapunov exponents, random stationary.

His eleven theorems on stability of elastic systems are fundamental in this field. Brilliantly combining engineering intuition and analysis of a scientist he stepped far forward.

The vast monograph by ich on building mechanics of a ship is the text book. General methods for the study of oscillations of pendulum systems are described, with particular attention given to the Krylov-Bogoliubov-Mitropol'skii asymptotic method.

A theory for obtaining periodic solutions of nonlinear differential equations is developed, and a minimax parameter is obtained for the oscillation stability of mechanical-systems subjected to nonstationary.

The forced periodic bending oscillations of a quasi-linear gyroscopic system with random distributed and concentrated parameters are investigated by means of the small parameter method.

The oscillating system can be represented by a mixed n-point boundary value problem with n plus 1 quasi-linear adjoint conditions at the locations of concentrated parameters with Author: V.

Zelenskii, M. Zeitman. stability of irreversible systems, have not been covered in textbooks. Even the catastrophe theory, as general is it purports to be, has been limited to systems that possess a potential, which implies elastic behavior.

Reflecting recent research results, we depart from tradition, devoting about half of the book to nonelastic Size: KB. Energy considerations are introduced into the analysis of discrete, linear structural systems subjected to nonconservative (circulatory) forces. Various formulations of energy balance permit to establish stability criteria and acquire further insight into several features associated with the stability of nonconservative systems, e.g., the Cited by: Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.

Stability, Oscillations and Optimization of Systems. pp HbkInstitute of Mathematics, National Academy of Sciences, Kiev, Ukraine This volume contains the methods for localization of eigenvalues of matrices and matrix functions, based on the construction and study of the generalized Lyapunov equation.

Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories Zdenek P Bazant, Luigi Cedolin. A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering.

The book is an unabridged republication of the edition by Oxford. 20 A H Nayfeh and D T Mook Nonlinear oscillations John Wiley NY 21 Y G from CE at Ohio Valley Christian School.

Description Stability and oscillations of elastic systems FB2

lation of the first book (by V. Bolotin) devoted in its entirety to non- conservative problems of the theory of elastic stability, i.e., problems with follower forces.

The last decade has witnessed a considerable expansion of interest in this problem area, but the progress has been reported piecemeal by a varietyFile Size: 6MB. 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. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read.

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Applications include gyrodynamics, tether connected satellites, shell buckling, nonlinear circuits, volume oscillations of a large lake, systems with stick-slip friction, imperfect or disordered structures, overturning of rigid blocks, central pattern generators, flow induced oscillations, shape control and vibration suppression of elastic.

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 unifying theme among topics presented in this book is the gyroscopic nature of.

A self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since Begins with fundamental concepts and techniques of analysis and progresses through recent developments. Provides an overview that abstracts and introduces main nonlinear phenomena.

Treats systems having a single degree of freedom. This book is an attempt to present systematically the general theory of dynamic stability of elastic systems and its numerous applications. Investigations of the author are used as the basis for the book, part of which was published previously in the form of separate articles.

The author's.