Vibration of Pre-Loaded Shallow Circular Arches

Uǧurcan Eroǧlu; Giuseppe Ruta

doi:10.1007/978-3-030-34713-0_24

Vibration of Pre-Loaded Shallow Circular Arches

Uǧurcan Eroǧlu, Giuseppe Ruta^*

^*Corresponding author for this work

Department of Mechanical Engineering

University of Rome La Sapienza

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

1 Citation (Scopus)

Abstract

We study dynamics of pre-stressed pinned shallow slender circular arches by one-dimensional field equations, simplified and solved by perturbation. The static response to a uniform load and small imperfections is found: The transverse displacement depends in closed form on the load. The first two frequencies of small vibration about the deformed shape, plus possible bifurcations in terms of the initial geometry and the pre-load are found.

Original language	English
Title of host publication	Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019
Editors	Walter Lacarbonara, Balakumar Balachandran, Jun Ma, J.A. Tenreiro Machado, Gabor Stepan
Publisher	Springer Nature
Pages	237-245
Number of pages	9
ISBN (Electronic)	9783030347123
DOIs	https://doi.org/10.1007/978-3-030-34713-0_24
Publication status	Published - 2020
Event	1st International Nonlinear Dynamics Conference, NODYCON 2019 - Rome, Italy Duration: 17 Feb 2019 → 20 Feb 2019

Publication series

Name	Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019

Conference

Conference	1st International Nonlinear Dynamics Conference, NODYCON 2019
Country/Territory	Italy
City	Rome
Period	17/02/19 → 20/02/19

Bibliographical note

Publisher Copyright:
© 2020 Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. All rights reserved.

Keywords

Perturbation
Shallow arch
Stability
Vibration

Access to Document

10.1007/978-3-030-34713-0_24

Cite this

Eroǧlu, U., & Ruta, G. (2020). Vibration of Pre-Loaded Shallow Circular Arches. In W. Lacarbonara, B. Balachandran, J. Ma, J. A. Tenreiro Machado, & G. Stepan (Eds.), Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019 (pp. 237-245). (Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019). Springer Nature. https://doi.org/10.1007/978-3-030-34713-0_24

Eroǧlu, Uǧurcan ; Ruta, Giuseppe. / Vibration of Pre-Loaded Shallow Circular Arches. Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. editor / Walter Lacarbonara ; Balakumar Balachandran ; Jun Ma ; J.A. Tenreiro Machado ; Gabor Stepan. Springer Nature, 2020. pp. 237-245 (Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019).

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abstract = "We study dynamics of pre-stressed pinned shallow slender circular arches by one-dimensional field equations, simplified and solved by perturbation. The static response to a uniform load and small imperfections is found: The transverse displacement depends in closed form on the load. The first two frequencies of small vibration about the deformed shape, plus possible bifurcations in terms of the initial geometry and the pre-load are found.",

keywords = "Perturbation, Shallow arch, Stability, Vibration",

author = "Uǧurcan Eroǧlu and Giuseppe Ruta",

note = "Publisher Copyright: {\textcopyright} 2020 Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. All rights reserved.; 1st International Nonlinear Dynamics Conference, NODYCON 2019 ; Conference date: 17-02-2019 Through 20-02-2019",

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doi = "10.1007/978-3-030-34713-0_24",

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Eroǧlu, U & Ruta, G 2020, Vibration of Pre-Loaded Shallow Circular Arches. in W Lacarbonara, B Balachandran, J Ma, JA Tenreiro Machado & G Stepan (eds), Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019, Springer Nature, pp. 237-245, 1st International Nonlinear Dynamics Conference, NODYCON 2019, Rome, Italy, 17/02/19. https://doi.org/10.1007/978-3-030-34713-0_24

Vibration of Pre-Loaded Shallow Circular Arches. / Eroǧlu, Uǧurcan; Ruta, Giuseppe.
Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. ed. / Walter Lacarbonara; Balakumar Balachandran; Jun Ma; J.A. Tenreiro Machado; Gabor Stepan. Springer Nature, 2020. p. 237-245 (Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019).

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

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AU - Ruta, Giuseppe

PY - 2020

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N2 - We study dynamics of pre-stressed pinned shallow slender circular arches by one-dimensional field equations, simplified and solved by perturbation. The static response to a uniform load and small imperfections is found: The transverse displacement depends in closed form on the load. The first two frequencies of small vibration about the deformed shape, plus possible bifurcations in terms of the initial geometry and the pre-load are found.

AB - We study dynamics of pre-stressed pinned shallow slender circular arches by one-dimensional field equations, simplified and solved by perturbation. The static response to a uniform load and small imperfections is found: The transverse displacement depends in closed form on the load. The first two frequencies of small vibration about the deformed shape, plus possible bifurcations in terms of the initial geometry and the pre-load are found.

KW - Perturbation

KW - Shallow arch

KW - Stability

KW - Vibration

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BT - Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019

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A2 - Balachandran, Balakumar

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Eroǧlu U, Ruta G. Vibration of Pre-Loaded Shallow Circular Arches. In Lacarbonara W, Balachandran B, Ma J, Tenreiro Machado JA, Stepan G, editors, Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. Springer Nature. 2020. p. 237-245. (Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019). doi: 10.1007/978-3-030-34713-0_24

Vibration of Pre-Loaded Shallow Circular Arches

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