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Author : Anatolii M. Samoilenko
Publisher :
ISBN 13 : 9789401740425
Total Pages : 324 pages
Book Rating : 4.29/5 ( download)
Download or read book Multifrequency Oscillations of Nonlinear Systems written by Anatolii M. Samoilenko and published by . This book was released on 2014-01-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anatolii M. Samoilenko
Publisher : Springer Science & Business Media
ISBN 13 : 1402020317
Total Pages : 321 pages
Book Rating : 4.15/5 ( download)
Download or read book Multifrequency Oscillations of Nonlinear Systems written by Anatolii M. Samoilenko and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations.
Author : Jack K. Hale
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.09/5 ( download)
Download or read book Oscillations in Nonlinear Systems written by Jack K. Hale and published by . This book was released on 1963 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald E. Mickens
Publisher : CUP Archive
ISBN 13 : 9780521222082
Total Pages : 234 pages
Book Rating : 4.87/5 ( download)
Download or read book An Introduction to Nonlinear Oscillations written by Ronald E. Mickens and published by CUP Archive. This book was released on 1981 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
Author : M.I Rabinovich
Publisher : Springer Science & Business Media
ISBN 13 : 9400910339
Total Pages : 586 pages
Book Rating : 4.31/5 ( download)
Download or read book Oscillations and Waves written by M.I Rabinovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et mai - ... - si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : Raymond H. Plaut
Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.26/5 ( download)
Download or read book Nonlinear Oscillations of Mechanical Systems Under Multifrequency Parametric Excitation written by Raymond H. Plaut and published by . This book was released on 1991 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various problems related to the nonlinear oscillations of mechanical and structural systems were investigated. They involved the following topics: (1) Resonances in weakly nonlinear systems subjected to multifrequency parametric and/or external excitation, with one case being a self-excited system; (2) Dynamic behavior of cracked bars and rotating shafts, for the purpose of detecting cracks; (3) Vibrations of cylindrical membranes, with applications to inflatable dams; (4) Vibrations and stability of structures whose support resistance changes as the structure is loaded: (5) Dynamic instability of laminated composite plates under in-plane harmonically-varying loads; (6) Application of vibration data to nondestructively predict buckling loads; (7) Nonlinear oscillations of slender cantilevered beams under harmonically-varying loads; and (8) Prediction of a large jump in deflection, such as snap-through instability, under harmonically-varying loads. The results improve our understanding of the dynamics of mechanical and structural systems, and will be useful in the prevention of excessively large motions and unstable behavior.
Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
ISBN 13 : 3527617590
Total Pages : 720 pages
Book Rating : 4.93/5 ( download)
Download or read book Nonlinear Oscillations written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.
Author : Arkadiy I. Manevich
Publisher : World Scientific
ISBN 13 : 1860945104
Total Pages : 278 pages
Book Rating : 4.06/5 ( download)
Download or read book The Mechanics of Nonlinear Systems with Internal Resonances written by Arkadiy I. Manevich and published by World Scientific. This book was released on 2005 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance.The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are systematically studied.
Author : Frederic Lee Swern
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.89/5 ( download)
Download or read book Analysis of Oscillations in Nonlinear Systems Using Multiple Input Describing Functions written by Frederic Lee Swern and published by . This book was released on 1981 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chihiro Hayashi
Publisher : Princeton University Press
ISBN 13 : 1400852870
Total Pages : 405 pages
Book Rating : 4.71/5 ( download)
Download or read book Nonlinear Oscillations in Physical Systems written by Chihiro Hayashi and published by Princeton University Press. This book was released on 2014-07-14 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
