NDLI: Quasi-static quintication method for periodic solution of strong nonlinear oscillators

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Quasi-static quintication method for periodic solution of strong nonlinear oscillators

Content Provider	Directory of Open Access Journals (DOAJ)
Author	Akuro Big-Alabo Emmanuel Ogheneochuko Ekpruke Chiwunba Victor Ossia
Abstract	In this paper, a quasi-static quintication method for approximate periodic solution of strong nonlinear oscillators was presented. The basic idea of the method is to replace the original nonlinear oscillator with an equivalent cubic-quintic oscillator, whose stiffness constants are derived based on quasi-static equilibrium principles. The exact solution of the equivalent cubic-quintic oscillator was then applied to obtain the approximate solution to the original oscillator. The advantage of the present method is that its quintication constants (i.e. stiffness constants of the equivalent oscillator) are always in the form of elementary functions and are simpler than the corresponding constants derived by the Chebyshev quintication method. The present quintication method was verified using examples of strong nonlinear oscillators and was found to give very accurate results.
Related Links	http://www.sciencedirect.com/science/article/pii/S2468227621000089
ISSN	24682276
DOI	10.1016/j.sciaf.2021.e00704
Journal	Scientific African
Volume Number	11
Language	English
Publisher	Elsevier
Publisher Date	2021-01-01
Publisher Place	Netherlands
Access Restriction	Open
Subject Keyword	Science Nonlinear Oscillator Cubic-quintic Oscillator Quintication Method Quasi-static Equilibrium Elliptic Function
Content Type	Text
Resource Type	Article
Subject	Multidisciplinary

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