### 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 | 8th 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 |

Volume | 1959 |

ISBN (Electronic) | 9780735416604 |

DOIs | |

Publication status | Published - 2 May 2018 |

Event | International Scientific Conference on Mechanics: 8th Polyakhov's Reading - Saint Petersburg Duration: 29 Jan 2018 → 2 Feb 2018 |

### Conference

Conference | International Scientific Conference on Mechanics: 8th Polyakhov's Reading |
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Country | Russian Federation |

City | Saint Petersburg |

Period | 29/01/18 → 2/02/18 |

### Fingerprint

### Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics*(Vol. 1959). [070011] American Institute of Physics. https://doi.org/10.1063/1.5034686

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*8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics.*vol. 1959, 070011, American Institute of Physics, Saint Petersburg, 29/01/18. https://doi.org/10.1063/1.5034686

**Low-frequency vibrations of a cylindrical shell rotating on rollers.** / Filippov, S. B.

Research output › › peer-review

TY - GEN

T1 - Low-frequency vibrations of a cylindrical shell rotating on rollers

AU - Filippov, S. B.

PY - 2018/5/2

Y1 - 2018/5/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85047179435&partnerID=8YFLogxK

U2 - 10.1063/1.5034686

DO - 10.1063/1.5034686

M3 - Conference contribution

AN - SCOPUS:85047179435

VL - 1959

BT - 8th Polyakhov's Reading

A2 - Kustova, Elena V.

A2 - Leonov, Gennady A.

A2 - Yushkov, Mikhail P.

A2 - Morosov, Nikita F.

A2 - Mekhonoshina, Mariia A.

PB - American Institute of Physics

ER -