Strongly Nonlinear Oscillators
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Strongly Nonlinear Oscillators
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Author : Livija Cveticanin
language : en
Publisher: Springer
Release Date : 2014-05-22
Strongly Nonlinear Oscillators written by Livija Cveticanin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-22 with Science categories.
This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.
Strong Nonlinear Oscillators
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Author : Livija Cveticanin
language : en
Publisher: Springer
Release Date : 2017-05-29
Strong Nonlinear Oscillators written by Livija Cveticanin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-29 with Technology & Engineering categories.
This textbook presents the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. It presents the author’s original method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameters is considered. In this second edition of the book, the number of approximate solving procedures for strong nonlinear oscillators is enlarged and a variety of procedures for solving free strong nonlinear oscillators is suggested. A method for error estimation is also given which is suitable to compare the exact and approximate solutions. Besides the oscillators with one degree-of-freedom, the one and two mass oscillatory systems with two-degrees-of-freedom and continuous oscillators are considered. The chaos and chaos suppression in ideal and non-ideal mechanical systems is explained. In this second edition more attention is given to the application of the suggested methodologies and obtained results to some practical problems in physics, mechanics, electronics and biomechanics. Thus, for the oscillator with two degrees-of-freedom, a generalization of the solving procedure is performed. Based on the obtained results, vibrations of the vocal cord are analyzed. In the book the vibration of the axially purely nonlinear rod as a continuous system is investigated. The developed solving procedure and the solutions are applied to discuss the muscle vibration. Vibrations of an optomechanical system are analyzed using the oscillations of an oscillator with odd or even quadratic nonlinearities. The extension of the forced vibrations of the system is realized by introducing the Ateb periodic excitation force which is the series of a trigonometric function. The book is self-consistent and suitable for researchers and as a textbook for students and also professionals and engineers who apply these techniques to the field of nonlinear oscillations.
Averaging Of Strongly Nonlinear Oscillators Using Elliptic Functions
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Author : Vincent Timothy Coppola
language : en
Publisher:
Release Date : 1989
Averaging Of Strongly Nonlinear Oscillators Using Elliptic Functions written by Vincent Timothy Coppola and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Elliptic functions categories.
Nonlinear Dynamics
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Author : Ardshir Guran
language : en
Publisher: World Scientific
Release Date : 1997
Nonlinear Dynamics written by Ardshir Guran and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
This book is a collection of papers on the subject of nonlinear dynamics and its applications written by experts in this field. It offers the reader a sampling of exciting research areas in this fast-growing field. The topics covered include chaos, tools to analyze motions, fractal boundaries, dynamics of the Fitzhugh-Nagumo equation, structural control, separation of contaminations from signal of interest, parametric excitation, stochastic bifurcation, mode localization in repetitive structures, Toda lattice, transition from soliton to chaotic motion, nonlinear normal modes, noise perturbations of nonlinear dynamical systems, and phase locking of coupled limit cycle oscillators. Mathematical methods include Lie transforms, Monte Carlo simulations, stochastic calculus, perturbation methods and proper orthogonal decomposition. 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 structures.All of these diverse contributions have a common thread: the world of nonlinear behavior. Although linear dynamics is an invaluable tool, there are many problems where nonlinear effects are essential. Some examples include bifurcation of solutions, stability of motion, the effects of large displacements, and subharmonic resonance. This book shows how nonlinear dynamics is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists.
On Approximations Of First Integrals For Strongly Nonlinear Oscillators
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Author : S. B. Waluya
language : en
Publisher:
Release Date : 2002
On Approximations Of First Integrals For Strongly Nonlinear Oscillators written by S. B. Waluya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Topological Methods In Nonlinear Analysis
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Author :
language : en
Publisher:
Release Date : 2008
Topological Methods In Nonlinear Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Nonlinear functional analysis categories.
Acoustics Vibration Of Mechanical Structures Ii
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Author : Nicolae Herisanu
language : en
Publisher: Trans Tech Publications Ltd
Release Date : 2015-10-23
Acoustics Vibration Of Mechanical Structures Ii written by Nicolae Herisanu and has been published by Trans Tech Publications Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-23 with Technology & Engineering categories.
Selected, peer reviewed papers from the XIII International Symposium Acoustics & Vibration of Mechanical Structures (AVMS 2015), May 28-29, 2015, Timişoara, Romania
Proceedings Of The Asme Design Engineering Division 2003
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Author :
language : en
Publisher:
Release Date : 2003
Proceedings Of The Asme Design Engineering Division 2003 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mechanical engineering categories.
Mechanical Science And Engineering Iv
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Author : Yan Dong Wang
language : en
Publisher: Trans Tech Publications Ltd
Release Date : 2014-01-08
Mechanical Science And Engineering Iv written by Yan Dong Wang and has been published by Trans Tech Publications Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Technology & Engineering categories.
Selected, peer reviewed papers from the 4th International Conference on Mechanical Science and Technology (ICMSE 2014), January 2-4, 2014, Sanya, Hainan Island, China
Japanese Journal Of Applied Physics
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Author :
language : en
Publisher:
Release Date : 1998
Japanese Journal Of Applied Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Physics categories.