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Effect of Curvature on Natural Frequencies of a Cylindrical Shell Closed with the Cap. / Филиппов, Сергей Борисович; Nesterchuk, Grigory A.; Смирнов, Андрей Леонидович.

Current Developments in Solid Mechanics and Their Applications. Springer Nature, 2025. p. 181-190 (Advanced Structured Materials; Vol. 223).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Harvard

Филиппов, СБ, Nesterchuk, GA & Смирнов, АЛ 2025, Effect of Curvature on Natural Frequencies of a Cylindrical Shell Closed with the Cap. in Current Developments in Solid Mechanics and Their Applications. Advanced Structured Materials, vol. 223, Springer Nature, pp. 181-190. https://doi.org/10.1007/978-3-031-90022-8_12

APA

Филиппов, С. Б., Nesterchuk, G. A., & Смирнов, А. Л. (2025). Effect of Curvature on Natural Frequencies of a Cylindrical Shell Closed with the Cap. In Current Developments in Solid Mechanics and Their Applications (pp. 181-190). (Advanced Structured Materials; Vol. 223). Springer Nature. https://doi.org/10.1007/978-3-031-90022-8_12

Vancouver

Филиппов СБ, Nesterchuk GA, Смирнов АЛ. Effect of Curvature on Natural Frequencies of a Cylindrical Shell Closed with the Cap. In Current Developments in Solid Mechanics and Their Applications. Springer Nature. 2025. p. 181-190. (Advanced Structured Materials). https://doi.org/10.1007/978-3-031-90022-8_12

Author

Филиппов, Сергей Борисович ; Nesterchuk, Grigory A. ; Смирнов, Андрей Леонидович. / Effect of Curvature on Natural Frequencies of a Cylindrical Shell Closed with the Cap. Current Developments in Solid Mechanics and Their Applications. Springer Nature, 2025. pp. 181-190 (Advanced Structured Materials).

BibTeX

@inbook{1ba704aec47143efb4c991a620bc859f,
title = "Effect of Curvature on Natural Frequencies of a Cylindrical Shell Closed with the Cap",
abstract = "Low-frequencies and free vibration modes of the construction consisted of a closed circular cylindrical shell joined with the end cap (plate or cupola) are obtained by means of numerical and asymptotic methods. Three types of vibrations are analyzed. The frequencies of vibrations of the first type are close to cap frequencies. The frequencies of the second type vibrations slightly differ from frequencies of the cylindrical shell. In the approximate analysis the third type vibrations of the structure is considered as beam vibrations with circular cross-sectional area. Two different asymptotic approaches are used to get approximate asymptotic formulas for “cap”-like and “shell”-like vibration frequencies. An optimization problem is formulated, namely, at what minimum values of the curvatures of the shell and cap the value of the minimum natural frequency of the structure is maximum. When solving the formulated optimal problem, the influence of the thickness of the structure is analyzed.",
author = "Филиппов, {Сергей Борисович} and Nesterchuk, {Grigory A.} and Смирнов, {Андрей Леонидович}",
year = "2025",
doi = "10.1007/978-3-031-90022-8_12",
language = "English",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "181--190",
booktitle = "Current Developments in Solid Mechanics and Their Applications",
address = "Germany",

}

RIS

TY - CHAP

T1 - Effect of Curvature on Natural Frequencies of a Cylindrical Shell Closed with the Cap

AU - Филиппов, Сергей Борисович

AU - Nesterchuk, Grigory A.

AU - Смирнов, Андрей Леонидович

PY - 2025

Y1 - 2025

N2 - Low-frequencies and free vibration modes of the construction consisted of a closed circular cylindrical shell joined with the end cap (plate or cupola) are obtained by means of numerical and asymptotic methods. Three types of vibrations are analyzed. The frequencies of vibrations of the first type are close to cap frequencies. The frequencies of the second type vibrations slightly differ from frequencies of the cylindrical shell. In the approximate analysis the third type vibrations of the structure is considered as beam vibrations with circular cross-sectional area. Two different asymptotic approaches are used to get approximate asymptotic formulas for “cap”-like and “shell”-like vibration frequencies. An optimization problem is formulated, namely, at what minimum values of the curvatures of the shell and cap the value of the minimum natural frequency of the structure is maximum. When solving the formulated optimal problem, the influence of the thickness of the structure is analyzed.

AB - Low-frequencies and free vibration modes of the construction consisted of a closed circular cylindrical shell joined with the end cap (plate or cupola) are obtained by means of numerical and asymptotic methods. Three types of vibrations are analyzed. The frequencies of vibrations of the first type are close to cap frequencies. The frequencies of the second type vibrations slightly differ from frequencies of the cylindrical shell. In the approximate analysis the third type vibrations of the structure is considered as beam vibrations with circular cross-sectional area. Two different asymptotic approaches are used to get approximate asymptotic formulas for “cap”-like and “shell”-like vibration frequencies. An optimization problem is formulated, namely, at what minimum values of the curvatures of the shell and cap the value of the minimum natural frequency of the structure is maximum. When solving the formulated optimal problem, the influence of the thickness of the structure is analyzed.

UR - https://www.mendeley.com/catalogue/58fdfd2e-bd68-3a58-b6c0-9286238db3ce/

U2 - 10.1007/978-3-031-90022-8_12

DO - 10.1007/978-3-031-90022-8_12

M3 - Chapter

T3 - Advanced Structured Materials

SP - 181

EP - 190

BT - Current Developments in Solid Mechanics and Their Applications

PB - Springer Nature

ER -

ID: 136536406