## 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 language | English |
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Title of host publication | EIGHTH POLYAKHOV'S READING |

Subtitle of host publication | Proceedings of the International Scientific Conference on Mechanics |

Editors | Elena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina |

Publisher | American Institute of Physics |

Number of pages | 8 |

Volume | 1959 |

ISBN (Electronic) | 9780735416604 |

DOIs | |

State | Published - 2 May 2018 |

Event | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation Duration: 29 Jan 2018 → 2 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

Name | AIP Conference Proceedings |
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Publisher | AMER INST PHYSICS |

Volume | 1959 |

ISSN (Print) | 0094-243X |

### Conference

Conference | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading |
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Country | Russian Federation |

City | Saint Petersburg |

Period | 29/01/18 → 2/02/18 |

Internet address |

## Scopus subject areas

- Physics and Astronomy(all)