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Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates. / Filippov, Sergei B.

Analysis of Shells, Plates, and Beams: A State of the Art Report. Cham : Springer Nature, 2020. стр. 123-140 (Advanced Structured Materials; Том 134).

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Harvard

Filippov, SB 2020, Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates. в Analysis of Shells, Plates, and Beams: A State of the Art Report. Advanced Structured Materials, Том. 134, Springer Nature, Cham, стр. 123-140. https://doi.org/10.1007/978-3-030-47491-1_7

APA

Filippov, S. B. (2020). Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates. в Analysis of Shells, Plates, and Beams: A State of the Art Report (стр. 123-140). (Advanced Structured Materials; Том 134). Springer Nature. https://doi.org/10.1007/978-3-030-47491-1_7

Vancouver

Filippov SB. Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates. в Analysis of Shells, Plates, and Beams: A State of the Art Report. Cham: Springer Nature. 2020. стр. 123-140. (Advanced Structured Materials). https://doi.org/10.1007/978-3-030-47491-1_7

Author

Filippov, Sergei B. / Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates. Analysis of Shells, Plates, and Beams: A State of the Art Report. Cham : Springer Nature, 2020. стр. 123-140 (Advanced Structured Materials).

BibTeX

@inbook{00c5489de97042d7b4789c6f21d107ab,
title = "Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates",
abstract = "Low frequencies and vibration modes of a closed circular cylindrical shell joined with annular plates are obtained by means of asymptotic methods. Two types of vibrations, corresponding to narrow and wide plates, are analyzed. It is shown that narrow plates can be considered as circular beams. For wide plates joined with a cylindrical shell the couple vibration problem in the first approximation is reduced to the eigenvalue problem describing the plate vibrations. An approximate solution of the last problem is obtained with the help of the perturbation approach.",
keywords = "Annular plate, Asymptotic methods, Ring-stiffened shell, Vibration frequency",
author = "Filippov, {Sergei B.}",
note = "Filippov S.B. (2020) Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates. In: Altenbach H., Chinchaladze N., Kienzler R., M{\"u}ller W. (eds) Analysis of Shells, Plates, and Beams. Advanced Structured Materials, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-030-47491-1_7",
year = "2020",
doi = "10.1007/978-3-030-47491-1_7",
language = "English",
isbn = "978-3-030-47490-4",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "123--140",
booktitle = "Analysis of Shells, Plates, and Beams",
address = "Germany",

}

RIS

TY - CHAP

T1 - Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates

AU - Filippov, Sergei B.

N1 - Filippov S.B. (2020) Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates. In: Altenbach H., Chinchaladze N., Kienzler R., Müller W. (eds) Analysis of Shells, Plates, and Beams. Advanced Structured Materials, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-030-47491-1_7

PY - 2020

Y1 - 2020

N2 - Low frequencies and vibration modes of a closed circular cylindrical shell joined with annular plates are obtained by means of asymptotic methods. Two types of vibrations, corresponding to narrow and wide plates, are analyzed. It is shown that narrow plates can be considered as circular beams. For wide plates joined with a cylindrical shell the couple vibration problem in the first approximation is reduced to the eigenvalue problem describing the plate vibrations. An approximate solution of the last problem is obtained with the help of the perturbation approach.

AB - Low frequencies and vibration modes of a closed circular cylindrical shell joined with annular plates are obtained by means of asymptotic methods. Two types of vibrations, corresponding to narrow and wide plates, are analyzed. It is shown that narrow plates can be considered as circular beams. For wide plates joined with a cylindrical shell the couple vibration problem in the first approximation is reduced to the eigenvalue problem describing the plate vibrations. An approximate solution of the last problem is obtained with the help of the perturbation approach.

KW - Annular plate

KW - Asymptotic methods

KW - Ring-stiffened shell

KW - Vibration frequency

UR - http://www.scopus.com/inward/record.url?scp=85086097030&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/7495a042-094b-3185-ba7b-52df8a17cbe5/

U2 - 10.1007/978-3-030-47491-1_7

DO - 10.1007/978-3-030-47491-1_7

M3 - Chapter

AN - SCOPUS:85086097030

SN - 978-3-030-47490-4

T3 - Advanced Structured Materials

SP - 123

EP - 140

BT - Analysis of Shells, Plates, and Beams

PB - Springer Nature

CY - Cham

ER -

ID: 71065590