Motion of a pendulum with damping and vibrating axis of suspension at unconventional values of parameters

Ivan Demidov, Vladislav Sorokin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Motion of a pendulum with damping and vibrating axis of suspension is considered at unconventional values of parameters. Case when the frequency of external loading and the natural frequency of the pendulum in the absence of this loading are of the same order is studied. Vibration intensity is assumed to be relatively low. In this case, the corresponding equation of the pendulum's motions doesn't involve an explicit small parameter. To solve the equation a new modification of the method of direct separation of motions is used. As the result, stability conditions of the pendulum inverted position are determined. Effects of damping on these conditions are discussed.

Original languageEnglish
Title of host publication8th Polyakhov's Reading
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735416604
DOIs
StatePublished - 2 May 2018
Externally publishedYes
EventInternational Scientific Conference on Mechanics: 8th Polyakhov's Reading - Saint Petersburg, Russian Federation
Duration: 29 Jan 20182 Feb 2018

Publication series

NameAIP Conference Proceedings
Volume1959
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Scientific Conference on Mechanics: 8th Polyakhov's Reading
Country/TerritoryRussian Federation
CitySaint Petersburg
Period29/01/182/02/18

ASJC Scopus subject areas

  • General Physics and Astronomy

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