Stability of the inverse pendulum with the hanging point in multifrequency motion

In the present paper, the stability of the upper equilibrium position of the pendulum is examined. It is found that if the hanging point undergoes vertical complicated oscillating motion the different components of the motion law reinforce their actions so that the mentioned equilibrium position be...

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Main Author: Nguyen Van Dinh
Format: Article
Language:English
Published: Publishing House for Science and Technology 1993-12-01
Series:Vietnam Journal of Mechanics
Online Access:https://vjs.ac.vn/index.php/vjmech/article/view/10216
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author Nguyen Van Dinh
author_facet Nguyen Van Dinh
author_sort Nguyen Van Dinh
collection DOAJ
description In the present paper, the stability of the upper equilibrium position of the pendulum is examined. It is found that if the hanging point undergoes vertical complicated oscillating motion the different components of the motion law reinforce their actions so that the mentioned equilibrium position becomes more stable. On the contrary, if the hanging point moves in the vertical plane the inverse pendulum is less stable under the influence of the horizontal component of the motion.
format Article
id doaj-art-0cecc983ea814116aa6da3e9cc2395f2
institution OA Journals
issn 0866-7136
2815-5882
language English
publishDate 1993-12-01
publisher Publishing House for Science and Technology
record_format Article
series Vietnam Journal of Mechanics
spelling doaj-art-0cecc983ea814116aa6da3e9cc2395f22025-08-20T02:11:15ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58821993-12-0115410.15625/0866-7136/10216Stability of the inverse pendulum with the hanging point in multifrequency motionNguyen Van Dinh In the present paper, the stability of the upper equilibrium position of the pendulum is examined. It is found that if the hanging point undergoes vertical complicated oscillating motion the different components of the motion law reinforce their actions so that the mentioned equilibrium position becomes more stable. On the contrary, if the hanging point moves in the vertical plane the inverse pendulum is less stable under the influence of the horizontal component of the motion. https://vjs.ac.vn/index.php/vjmech/article/view/10216
spellingShingle Nguyen Van Dinh
Stability of the inverse pendulum with the hanging point in multifrequency motion
Vietnam Journal of Mechanics
title Stability of the inverse pendulum with the hanging point in multifrequency motion
title_full Stability of the inverse pendulum with the hanging point in multifrequency motion
title_fullStr Stability of the inverse pendulum with the hanging point in multifrequency motion
title_full_unstemmed Stability of the inverse pendulum with the hanging point in multifrequency motion
title_short Stability of the inverse pendulum with the hanging point in multifrequency motion
title_sort stability of the inverse pendulum with the hanging point in multifrequency motion
url https://vjs.ac.vn/index.php/vjmech/article/view/10216
work_keys_str_mv AT nguyenvandinh stabilityoftheinversependulumwiththehangingpointinmultifrequencymotion