1.

Record Nr.

UNINA9910300388403321

Autore

Cveticanin Livija

Titolo

Strongly Nonlinear Oscillators : Analytical Solutions / / by Livija Cveticanin

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-05272-1

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (IX, 239 p. 74 illus., 12 illus. in color.)

Collana

Undergraduate Lecture Notes in Physics, , 2192-4791

Disciplina

621.381533

Soggetti

Statistical physics

Applied mathematics

Engineering mathematics

Mathematical physics

Physics

Vibration

Dynamics

Applications of Nonlinear Dynamics and Chaos Theory

Mathematical and Computational Engineering

Mathematical Applications in the Physical Sciences

Mathematical Methods in Physics

Vibration, Dynamical Systems, Control

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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

Sommario/riassunto

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.