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Strong Nonlinear Oscillators: Analytical Solutions

Kataloginformation Katalogdatensatz500269357 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
Hinweise auf parallele Ausgaben	491025335 Druckausg.: ‡Cvetićanin, Livija, 1952 - : Strong nonlinear oscillators
ISBN	978-3-319-58825-4
Name	Cveticanin, Livija
T I T E L	Strong Nonlinear Oscillators
Zusatz zum Titel	Analytical Solutions
Auflage	2nd ed. 2018
Verlagsort	Cham
Verlag	Springer
Erscheinungsjahr	2018
Erscheinungsjahr	2018
Umfang	Online-Ressource (XII, 317 p. 93 illus., 21 illus. in color, online resource)
Reihe	Mathematical Engineering
Titelhinweis	Druckausg.: ‡Cvetićanin, Livija, 1952 - : Strong nonlinear oscillators
Titelhinweis	Printed editionISBN: 978-3-319-58825-4
ISBN	ISBN 978-3-319-58826-1
Klassifikation	SCI018000
	TGMD4
	TEC009070
	*70-01
	70K40
	70K55
	34C15
	34C28
	620
	TA355
	TA352-356
Kurzbeschreibung	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
2. Kurzbeschreibung	Preface to Second Edition -- Introduction -- Nonlinear Oscillators -- Pure Nonlinear Oscillator -- Free Vibrations -- Oscillators with Time-Variable Parameters -- Forced Vibrations -- Harmonically Excited Pure Nonlinear Oscillator -- Two-Degree-of-Freedom Oscillator -- Chaos in Oscillators -- Vibration of the Axially Purely Nonlinear Rod
1. Schlagwortkette	Oszillator
ANZEIGE DER KETTE	Oszillator
SWB-Titel-Idn	494025700
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-3-319-58826-1
Internetseite / Link	Volltext
Siehe auch	Cover
Siehe auch	Inhaltstext

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