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SOLVING NON-LINEAR DAMPED DRIVEN SIMPLE PENDULUM WITH SMALL AMPLITUDE USING A SEMI ANALYTICAL METHOD

Agarana, M. C. and Emetere, Moses (2016) SOLVING NON-LINEAR DAMPED DRIVEN SIMPLE PENDULUM WITH SMALL AMPLITUDE USING A SEMI ANALYTICAL METHOD. ARPN Journal of Engineering and Applied Sciences, 11 (7). pp. 4478-4484. ISSN 1819-6608

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Abstract

In this paper, we present a semi analytical solution for a damped driven pendulum with small amplitude, by using the differential transformation method. We begin by showing how the differential transformation method applies to the non-linear dynamical system. The method transformed the differential equation governing the motion of the pendulum into its algebraic form. The results obtained are in good agreement with the solution in the literature. The results show that the technique introduced is easy to apply to such dynamical system

Item Type: Article
Uncontrolled Keywords: semi analytical method, small amplitude, non-linear damped driven simple pendulum.
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Faculty of Engineering, Science and Mathematics > School of Physics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 17 Aug 2016 10:25
Last Modified: 17 Aug 2016 10:25
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/6921

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