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Solving non-linear damped driven simple pendulum with small amplitude using a semi analytical method

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Title: Solving non-linear damped driven simple pendulum with small amplitude using a semi analytical method

Authors: M. C. Agarana, M. E. Emetere

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2016

Volume: 11

Issue: 7

Language: English

Keywords: Damped driven pendulumDifferential transformation methodSemi analytical solutionNon-linear dynamical system

Categories
Pendulum Systems (1) Semi-analytical Methods (1) Differential Equations (206) Nonlinear Dynamics (20) Mechanical Engineering (4477)

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.

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