Strongly Nonlinear Oscillators Analytical Solutions /

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Cveticanin, Livija (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
Σειρά:Undergraduate Lecture Notes in Physics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Cveticanin, Livija.  |e author. 
245 1 0 |a Strongly Nonlinear Oscillators  |h [electronic resource] :  |b Analytical Solutions /  |c by Livija Cveticanin. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a IX, 239 p. 74 illus., 12 illus. in color.  |b online resource. 
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490 1 |a Undergraduate Lecture Notes in Physics,  |x 2192-4791 
505 0 |a Introduction -- Nonlinear Oscillators -- Pure Nonlinear Oscillator -- Free Vibrations -- Oscillators with Time-Variable Parameters -- Forced Vibrations -- Two-Degree-Of-Freedom Oscillator -- Chaos in Oscillators. 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Mathematical physics. 
650 0 |a Statistical physics. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Vibration. 
650 0 |a Dynamical systems. 
650 0 |a Dynamics. 
650 1 4 |a Physics. 
650 2 4 |a Nonlinear Dynamics. 
650 2 4 |a Appl.Mathematics/Computational Methods of Engineering. 
650 2 4 |a Mathematical Applications in the Physical Sciences. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Vibration, Dynamical Systems, Control. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319052717 
830 0 |a Undergraduate Lecture Notes in Physics,  |x 2192-4791 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-05272-4  |z Full Text via HEAL-Link 
912 |a ZDB-2-PHA 
950 |a Physics and Astronomy (Springer-11651)