Flutter of a Plate at High Supersonic Speeds

Aziz Sezgin; Birkan Durak; Alaattin Sayın; Huseyin Yildiz; Hasan Omur Ozer; Lutfi Emir Sakman; Sule Kapkin; Erol Uzal

doi:10.20944/preprints202311.0916.v2

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preprints.org > engineering > mechanical engineering > doi: 10.20944/preprints202311.0916.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Flutter of a Plate at High Supersonic Speeds

^* ,

Version 1 : Received: 14 November 2023 / Approved: 14 November 2023 / Online: 14 November 2023 (11:29:11 CET)
Version 2 : Received: 20 November 2023 / Approved: 21 November 2023 / Online: 22 November 2023 (07:44:49 CET)

How to cite: Sezgin, A.; Durak, B.; Sayın, A.; Yildiz, H.; Ozer, H.O.; Sakman, L.E.; Kapkin, S.; Uzal, E. Flutter of a Plate at High Supersonic Speeds. Preprints 2023, 2023110916. https://doi.org/10.20944/preprints202311.0916.v2 Sezgin, A.; Durak, B.; Sayın, A.; Yildiz, H.; Ozer, H.O.; Sakman, L.E.; Kapkin, S.; Uzal, E. Flutter of a Plate at High Supersonic Speeds. Preprints 2023, 2023110916. https://doi.org/10.20944/preprints202311.0916.v2

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MDPI and ACS Style

Sezgin, A.; Durak, B.; Sayın, A.; Yildiz, H.; Ozer, H.O.; Sakman, L.E.; Kapkin, S.; Uzal, E. Flutter of a Plate at High Supersonic Speeds. Preprints 2023, 2023110916. https://doi.org/10.20944/preprints202311.0916.v2

APA Style

Sezgin, A., Durak, B., Sayın, A., Yildiz, H., Ozer, H.O., Sakman, L.E., Kapkin, S., & Uzal, E. (2023). Flutter of a Plate at High Supersonic Speeds. Preprints. https://doi.org/10.20944/preprints202311.0916.v2

Chicago/Turabian Style

Sezgin, A., Sule Kapkin and Erol Uzal. 2023 "Flutter of a Plate at High Supersonic Speeds" Preprints. https://doi.org/10.20944/preprints202311.0916.v2

Abstract

Vibrations of plate structures placed in a supersonic flow is considered. The undisturbed fluid flow is parallel to the plate. Two specific problems are treated: in the first one the plate is in the form of an infinite strip and the flow is in the direction of its finite length. Rigid walls extend from the sides of the plate indefinitely. In the second problem, the plate is a finite rectangle and the flow is parallel to one of its sides. The first problem is a limiting case of the second problem. The flow is modeled by piston theory which assumes that the fluid pressure on the plate is proportional to local slope. This approximation is widely used at high speeds, and reduces the interaction between the fluid flow and the vibrations of the plate to an additional term in the vibration equation. The resulting problem can be solved by assumed mode methods. In this study, the solution is also carried out by using the collocation method. The main result is the flutter velocity of the free fluid flow under which the plate vibrations become unstable. Finally, simple expressions are proposed between the various non-dimensional parameters that allows quick estimation of flutter velocity.

Keywords

Flutter velocity; Flow-induced plate vibration; Piston Theory; Collocation Method; Shooting Method

Subject

Engineering, Mechanical Engineering

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Comments (1)

Comment 1

Received: 22 November 2023
Commenter: Aziz Sezgin
Commenter's Conflict of Interests: Author

Comment: Authors's names are corrected and a mistake in equation 44 is corrected.

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