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Analytical and numerical study of a vibrating magnetic inverted pendulum

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Bibliographic Details
Main Authors: Galal M., Moatimid, T. S., Amer, Marwa H., Zekry
Format: Book
Language:English
Published: Springer 2023
Subjects:
inverted pendulum
Homotopy perturbation method
Online Access:https://link.springer.com/article/10.1007/s00419-023-02395-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8513
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spelling oai:localhost:PNK-85132023-05-25T06:51:04Z Analytical and numerical study of a vibrating magnetic inverted pendulum Galal M., Moatimid T. S., Amer Marwa H., Zekry inverted pendulum Homotopy perturbation method CC BY The current study investigates the stability structure of the base periodic motion of an inverted pendulum (IP). A uniform magnetic field affects the motion in the direction of the plane configuration. Furthermore, a non-conservative force as one that dampens air is considered. Its underlying equation of motion is derived from traditional analytical mechanics. The mathematical analysis is made simpler by substituting the Taylor theory in order to expand the restoring forces. The modified Homotopy perturbation method (HPM) is employed to achieve a roughly adequate regular result. To support the prior result, a numerical method based on the fourth-order Runge-Kutta method (RK4) is employed. The graphs for both the analytic and numerical solutions are highly consistent with one another, which indicates that the perturbation strategy is accurate. The solution time history curve exhibits a decaying performance and indicates that it is steady and without chaos. 2023-05-25T06:51:04Z 2023-05-25T06:51:04Z 2023 Book https://link.springer.com/article/10.1007/s00419-023-02395-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8513 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic inverted pendulum
Homotopy perturbation method
spellingShingle inverted pendulum
Homotopy perturbation method
Galal M., Moatimid
T. S., Amer
Marwa H., Zekry
Analytical and numerical study of a vibrating magnetic inverted pendulum
description CC BY
format Book
author Galal M., Moatimid
T. S., Amer
Marwa H., Zekry
author_facet Galal M., Moatimid
T. S., Amer
Marwa H., Zekry
author_sort Galal M., Moatimid
title Analytical and numerical study of a vibrating magnetic inverted pendulum
title_short Analytical and numerical study of a vibrating magnetic inverted pendulum
title_full Analytical and numerical study of a vibrating magnetic inverted pendulum
title_fullStr Analytical and numerical study of a vibrating magnetic inverted pendulum
title_full_unstemmed Analytical and numerical study of a vibrating magnetic inverted pendulum
title_sort analytical and numerical study of a vibrating magnetic inverted pendulum
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00419-023-02395-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8513
_version_ 1772331161374162944
score 8.891145

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