Low-frequency vibrations of a cylindrical shell rotating on rollers

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Abstract

Small free low-frequency vibrations of a rotating closed cylindrical shell which is in a contact with rigid cylindrical rollers are considered. Assumptions of semi-momentless shell theory are used. By means of the expansion of solutions in truncated Fourier series in circumference coordinate the system of the algebraic equations for the approximate calculation of the vibration frequencies and the mode shapes is obtained. The algorithm for the evaluation of frequencies and vibration modes based on analytical solution is developed. In particular, the lowest frequencies of thin cylindrical shell, representing greatest interest for applications, were found. Approximate results are compared with results of numerical calculations carried out by the Finite Elements Analysis. It is shown that the semi-momentless theory can be used for the evaluation of the low frequencies of a cylindrical shell rotating on rollers.

Original languageEnglish
Title of host publicationEIGHTH 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
Number of pages8
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)

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