Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)

A 2D Flutter Equation Transformation Using Chebyshev Expansion Method

Authors
Yun-hai Wang, Xian-ming Zhang, Bin Ji
Corresponding Author
Yun-hai Wang
Available Online July 2019.
DOI
https://doi.org/10.2991/masta-19.2019.37How to use a DOI?
Keywords
Chebyshev expansion, Flutter equation, 2D wing
Abstract

The classical two-dimensional airfoil flutter equations can be established by many ways. For the simplicity of solving it, a sinusoidal structure motion hypothesis and some kind of aerodynamic theory must be proposed in advance. However, when a wing flutter occurs, its structural movement is likely to be more complex. Furthermore, the well-known harmonic balance method may not sufficiently accurate due to those higher order terms are ignored, which might lead to larger errors. In this paper, we propose a parametric method such that the original equations are parameterized, namely Chebyshev expansion method. A simple example is used to illustrate our strategy.

Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)
Series
Advances in Intelligent Systems Research
Publication Date
July 2019
ISBN
978-94-6252-761-4
ISSN
1951-6851
DOI
https://doi.org/10.2991/masta-19.2019.37How to use a DOI?
Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Yun-hai Wang
AU  - Xian-ming Zhang
AU  - Bin Ji
PY  - 2019/07
DA  - 2019/07
TI  - A 2D Flutter Equation Transformation Using Chebyshev Expansion Method
BT  - Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)
PB  - Atlantis Press
SP  - 216
EP  - 220
SN  - 1951-6851
UR  - https://doi.org/10.2991/masta-19.2019.37
DO  - https://doi.org/10.2991/masta-19.2019.37
ID  - Wang2019/07
ER  -