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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cveticanin, Livija (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Undergraduate Lecture Notes in Physics,
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Strongly Nonlinear Oscillators  |h [electronic resource] :  |b Analytical Solutions /  |c by Livija Cveticanin. 
250 |a 1st ed. 2014. 
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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 2192-4805 
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 Nonlinear Optics. 
650 0 |a Engineering mathematics. 
650 0 |a Engineering-Data processing. 
650 0 |a Mathematical physics. 
650 0 |a Multibody systems. 
650 0 |a Vibration. 
650 0 |a Mechanics, Applied. 
650 1 4 |a Nonlinear Optics. 
650 2 4 |a Mathematical and Computational Engineering Applications. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Multibody Systems and Mechanical Vibrations. 
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776 0 8 |i Printed edition:  |z 9783319052731 
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830 0 |a Undergraduate Lecture Notes in Physics,  |x 2192-4805 
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950 |a Physics and Astronomy (R0) (SpringerNature-43715)