Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators
Joint Authors
Martínez-Romero, Oscar
Elias-Zuniga, Alex
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The aim of this paper focuses on applying a nonlinearization method to transform forced, damped nonlinear equations of motion of oscillatory systems into the well-known forced, damped Duffing equation.
The accuracy obtained from the derived equivalent equations of motion is evaluated by studying the amplitude-time, the phase portraits, and the continuous wavelet transform diagrams of the cubic-quintic Duffing equation, the generalized pendulum equation, the power-form elastic term oscillator, the Duffing equation with linear and cubic damped terms, and the pendulum equation with a cubic damped term.
American Psychological Association (APA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar. 2013. Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1010281
Modern Language Association (MLA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar. Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1010281
American Medical Association (AMA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar. Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1010281
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010281