Flutter Mechanism of Timoshenko Beams in Supersonic Flow
Publication: Journal of Aerospace Engineering
Volume 32, Issue 4
Abstract
The flutter mechanism for cantilevered beam in supersonic flow is studied based on Timoshenko beam model and piston theory. The partial differential equations governing transverse deflection and rotation angle of the beam are derived by analyzing the finite section of the beam. Based on the mode functions of the unperturbed system, complex natural frequencies are investigated to predict the instability of the beam by Galerkin truncation. The mechanism of both coupled-mode and single-mode flutter caused by the supersonic flow are spotted for different flow velocity with consideration of the shear deformation and rotary inertia in the beam structure by the analytical method. The instability region is discussed by Routh-Hurwitz criterion. The critical Mach number for the panel motion becoming unstable is calculated for given values of the dimensional parameters.
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Acknowledgments
The authors gratefully acknowledge the support of the National Natural Science Foundation of China (NNSFC) through Grant Nos. 11772009 and 11672007. The Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality (PHRIHLB).
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Information
Published In
Journal of Aerospace Engineering
Volume 32 • Issue 4 • July 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jul 3, 2018
Accepted: Dec 17, 2018
Published online: Mar 30, 2019
Published in print: Jul 1, 2019
Discussion open until: Aug 30, 2019
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