Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Low-frequency vibrations of a cylindrical shell rotating on rollers. / Filippov, S. B.
EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. 070011 (AIP Conference Proceedings; Vol. 1959).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Low-frequency vibrations of a cylindrical shell rotating on rollers
AU - Filippov, S. B.
N1 - Conference code: 8
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
T3 - AIP Conference Proceedings
BT - EIGHTH 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
T2 - International Scientific Conference on Mechanics - Eighth Polyakhov's Reading
Y2 - 29 January 2018 through 2 February 2018
ER -
ID: 35265260