Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.

Consider a person standing on a platform that oscillates laterally, i.e. to the right and left of the person. Assume the platform satisfies Hooke's law. As the platform moves, the person reacts and moves its body attempting to keep its balance. We develop a simple model to study this phenomenon...

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Main Author:	Guillermo H Goldsztein
Format:	Article
Language:	English
Published:	Public Library of Science (PLoS) 2016-01-01
Series:	PLoS ONE
Online Access:	http://europepmc.org/articles/PMC4909213?pdf=render

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spelling	doaj-1d04eaa85618407a9c8ea7e13738a7812020-11-25T02:47:06ZengPublic Library of Science (PLoS)PLoS ONE1932-62032016-01-01116e015767510.1371/journal.pone.0157675Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.Guillermo H GoldszteinConsider a person standing on a platform that oscillates laterally, i.e. to the right and left of the person. Assume the platform satisfies Hooke's law. As the platform moves, the person reacts and moves its body attempting to keep its balance. We develop a simple model to study this phenomenon and show that the person, while attempting to keep its balance, may do positive work on the platform and increase the amplitude of its oscillations. The studies in this article are motivated by the oscillations in pedestrian bridges that are sometimes observed when large crowds cross them.http://europepmc.org/articles/PMC4909213?pdf=render
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Guillermo H Goldsztein
spellingShingle	Guillermo H Goldsztein Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law. PLoS ONE
author_facet	Guillermo H Goldsztein
author_sort	Guillermo H Goldsztein
title	Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.
title_short	Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.
title_full	Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.
title_fullStr	Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.
title_full_unstemmed	Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.
title_sort	reactions of standing bipeds on moving platforms to keep their balance may increase the amplitude of oscillations of platforms satisfying hooke's law.
publisher	Public Library of Science (PLoS)
series	PLoS ONE
issn	1932-6203
publishDate	2016-01-01
description	Consider a person standing on a platform that oscillates laterally, i.e. to the right and left of the person. Assume the platform satisfies Hooke's law. As the platform moves, the person reacts and moves its body attempting to keep its balance. We develop a simple model to study this phenomenon and show that the person, while attempting to keep its balance, may do positive work on the platform and increase the amplitude of its oscillations. The studies in this article are motivated by the oscillations in pedestrian bridges that are sometimes observed when large crowds cross them.
url	http://europepmc.org/articles/PMC4909213?pdf=render
work_keys_str_mv	AT guillermohgoldsztein reactionsofstandingbipedsonmovingplatformstokeeptheirbalancemayincreasetheamplitudeofoscillationsofplatformssatisfyinghookeslaw
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Reactions of Standing Bipeds on Moving Platforms to Keep Their Balance May Increase the Amplitude of Oscillations of Platforms Satisfying Hooke's Law.

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