The Kapitsa's problem for a deformable rod

A. K. Belyaev, N. F. Morozov, P. E. Tovstik, T. P. Tovstik

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

Abstract

A vertical rod with a free upper end and with a clumped or a simply supported lower end is considered. The support is subjected to harmonic vibrations. The aim is to find the level of vibrations such that the vertical position of rod is stable. Both bending and longitudinal vibrations are taken into account. To describe the bending vibrations the model of Bernoulli-Euler beam is applied. In order to determine the critical value of the vibration the two-scaled asymptotic expansions are used.

Original languageEnglish
Title of host publicationEIGHTH POLYAKHOV'S READING
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsE Kustova, G Leonov, N Morosov, M Yushkov, M Mekhonoshina
PublisherAmerican Institute of Physics
Number of pages6
Volume1959
ISBN (Electronic)9780735416604
DOIs
StatePublished - 2 May 2018
EventInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation
Duration: 29 Jan 20182 Feb 2018
Conference number: 8
https://events.spbu.ru/events/polyakhov_readings
http://nanomat.spbu.ru/en/node/175
http://nanomat.spbu.ru/ru/node/192
http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1959
ISSN (Print)0094-243X

Conference

ConferenceInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading
CountryRussian Federation
CitySaint Petersburg
Period29/01/182/02/18
Internet address

Scopus subject areas

  • Physics and Astronomy(all)

Keywords

  • THIN ROD

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