Modification of the potential function of a mechanical system caused by periodic action
type: Item
instance of: scholarly article
title: Modification of the potential function of a mechanical system caused by periodic action
zbMATH Open document ID: 0612.70005
DOI: 10.1007/BF01182131
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: The motion of a particle in the field of potential forces under conditions of large friction that has a component which is nonlinear with respect to the velocity is studied. It is shown that a periodic external force of small period results, under certain circumstances, in a modification of the initial potential function a term linear with respect to the deflection is added. Possible implications of this result for problems in physico-chemical biology are discussed.
Mathematics Subject Classification ID: 70F99
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 70J10
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 3990922
zbMATH Keywords: steady motion
zbMATH Keywords: anharmonic oscillator
zbMATH Keywords: non-Newtonian fluid
zbMATH Keywords: motion of a particle
zbMATH Keywords: potential forces
zbMATH Keywords: large friction
zbMATH Keywords: periodic external force
zbMATH Keywords: physico-chemical biology
Wikidata QID: Q56621985
author: Alexander Vidybida
MaRDI profile type: Publication
cites work: Q5330830
full work available at URL: https://doi.org/10.1007/bf01182131
OpenAlex ID: W2004444484
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description: scientific article; zbMATH DE number 3990922