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. Preprints2023, 2023110916. https://doi.org/10.20944/preprints202311.0916.v1
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.v1
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. Preprints2023, 2023110916. https://doi.org/10.20944/preprints202311.0916.v1
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.v1
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.v1
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.
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.