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Transient and Steady-State Responses of an Asymmetric Nonlinear Oscillator
Joint Authors
Martínez-Romero, Oscar
Elias-Zuniga, Alex
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the dynamical response of an asymmetric forced, damped Helmholtz-Duffing oscillator by using Jacobi elliptic functions, the method of elliptic balance, and Fourier series.
By assuming that the modulus of the elliptic functions is slowly varying as a function of time and by considering the primary resonance response of the Helmholtz-Duffing oscillator, we derived an approximate solution that provides the time-dependent amplitude-frequency response curves.
The accuracy of the derived approximate solution is evaluated by studying the evolution of the response curves of an asymmetric Duffing oscillator that describes the motion of a damped, forced system supported symmetrically by simple shear springs on a smooth inclined bearing surface.
We also use the percentage overshoot value to study the influence of damping and nonlinearity on the transient and steady-state oscillatory amplitudes.
American Psychological Association (APA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar. 2013. Transient and Steady-State Responses of an Asymmetric Nonlinear Oscillator. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009910
Modern Language Association (MLA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar. Transient and Steady-State Responses of an Asymmetric Nonlinear Oscillator. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009910
American Medical Association (AMA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar. Transient and Steady-State Responses of an Asymmetric Nonlinear Oscillator. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009910
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009910