Cveticanin Strongly Nonlinear Oscillators

Analytical Solutions
Erscheinungsjahr 2014
ISBN: 978-3-319-05272-4
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 239 Seiten, eBook

Reihe: Undergraduate Lecture Notes in Physics

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Cveticanin, Livija

Inhaltsverzeichnis

Introduction.- Nonlinear Oscillators.- Pure Nonlinear Oscillator.- Free Vibrations.- Oscillators with Time-Variable Parameters.- Forced Vibrations.- Two-Degree-Of-Freedom Oscillator.- Chaos in Oscillators.

Über Autor(innen)

Prof. Dr. Livija Cveticanin (Mrs.) University of Novi Sad Faculty of Technical Sciences Trg. D. Obradovica 6 21000 Novi Sad Serbia phone: [phone] affiliation: University of Novi Sad, Serbia