Periodic Motion in an Excited and Damped Cubic Nonlinear Oscillator
Joint Authors
Kozmidis Luburic, U.
Mester, Gy.
Cveticanin, Livija
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper investigates the steady-state periodic motion in the excited and damped one-degree-of-freedom Duffing oscillator.
The oscillator is of the pure cubic type.
The excitation is periodical and described by the product of two Jacobi elliptic functions.
The mathematical model of the oscillator is a nonhomogeneous second-order strong nonlinear differential equation.
The paper develops a procedure for obtaining the steady-state solution of the equation.
Conditions for the existence of the steady-state motion of the oscillator are obtained.
The influence of the excitation and of the damping on the steady-state motion is analyzed.
The paper also investigates the transient to the steady-state motion in the parameter perturbed systems.
An analytical method based on the time variable amplitude and the time variable phase is developed.
The analysis of the obtained results shows that the damping parameter is an adequate control parameter for the steady-state motion of the oscillator.
Analytically obtained results are compared with numerically obtained ones.
The difference between solutions is negligible.
American Psychological Association (APA)
Cveticanin, Livija& Kozmidis Luburic, U.& Mester, Gy.. 2018. Periodic Motion in an Excited and Damped Cubic Nonlinear Oscillator. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1207171
Modern Language Association (MLA)
Cveticanin, Livija…[et al.]. Periodic Motion in an Excited and Damped Cubic Nonlinear Oscillator. Mathematical Problems in Engineering No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1207171
American Medical Association (AMA)
Cveticanin, Livija& Kozmidis Luburic, U.& Mester, Gy.. Periodic Motion in an Excited and Damped Cubic Nonlinear Oscillator. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1207171
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207171