Flutter of a Multicomponent Beam in a Supersonic Flow

This study is devoted to the investigation of flutter of beams with highly contrasting materials. Two versions of the Galerkin method are applied: original version and modified version. It is shown that the modified Galerkin method tends to the exact solution for the inhomogeneous case in contrast w...

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Bibliographic Details
Published in:AIAA journal 2021-11, Vol.59 (11), p.4342-4353
Main Authors: Amato, Marco, Elishakoff, Isaac, Reddy, J. N
Format: Article
Language:English
Subjects:
Exact solutions
Finite element method
Flutter
Galerkin method
Gas flow
Investigations
Mechanical engineering
Supersonic flow
Velocity
Vibration
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Description
Summary:This study is devoted to the investigation of flutter of beams with highly contrasting materials. Two versions of the Galerkin method are applied: original version and modified version. It is shown that the modified Galerkin method tends to the exact solution for the inhomogeneous case in contrast with the original implementation, which does not. Secondly, modified and original Galerkin methods tend to the same solution in the homogeneous case. As far as the flutter is concerned, the modified Galerkin method tends to the finite element solution for the inhomogeneous case in contrast with the original implementation, which does not. Both original and modified Galerkin methods in the inhomogeneous case require many more terms (namely, 300) than the modified Galerkin method in the homogeneous case, where 10 terms sufficient.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J060631