In order to analyze the supersonic and transonic panel flutter behaviors quantitatively and accurately, a fluid-structure coupling algorithm based on the finite element method (FEM) is proposed to study the two-dimensional panel flutter problem. First, the Von Kármán's large deformation is used to model the panel, and the high speed airflow is approached by the Euler equations. Then, the equation of panel is discretized spatially by the standard Galerkin FEM, and the equations of fluid are discretized by the characteristic-based split finite element method (CBS-FEM) with dual time stepping; thus, the numerical oscillation encountered frequently in the numerical simulation of flow field could be removed efficiently. Further, a staggered algorithm is used to transfer the information on the interface between the fluid and the structure. Finally, the aeroelastic behaviors of the panel in both the supersonic and transonic airflows are studied in details. And the results show that the system can present the flat and stable, simple harmonic oscillation, buckling, and inharmonic oscillation states at Mach 2, considering the effect of the pretightening force; at Mach 1.2, as the panel loses stability, the ensuing limit cycle oscillation is born; at Mach 0.8 and 0.9, positive and negative bucklings are the typical states of the panel as it loses its stability. Further, the transonic stability boundary is obtained and the transonic bucket is precisely captured. More, this algorithm can be applied to the numerical analysis of other complicated problems related to aeroelasticity.
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June 2014
Research-Article
Analysis of Supersonic and Transonic Panel Flutter Using a Fluid-Structure Coupling Algorithm
Guanhua Mei,
Guanhua Mei
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
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Jiazhong Zhang,
Jiazhong Zhang
1
School of Energy and Power Engineering,
e-mail: jzzhang@mail.xjtu.edu.cn
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
e-mail: jzzhang@mail.xjtu.edu.cn
1Corresponding author.
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Guang Xi,
Guang Xi
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
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Xu Sun,
Xu Sun
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
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Jiahui Chen
Jiahui Chen
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
Search for other works by this author on:
Guanhua Mei
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
Jiazhong Zhang
School of Energy and Power Engineering,
e-mail: jzzhang@mail.xjtu.edu.cn
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
e-mail: jzzhang@mail.xjtu.edu.cn
Guang Xi
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
Xu Sun
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
Jiahui Chen
School of Energy and Power Engineering,
Xi'an Jiaotong University
,Xi'an, Shaanxi 710049
, China
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 29, 2013; final manuscript received January 15, 2014; published online April 3, 2014. Assoc. Editor: Massimo Ruzzene.
J. Vib. Acoust. Jun 2014, 136(3): 031013 (11 pages)
Published Online: April 3, 2014
Article history
Received:
March 29, 2013
Revision Received:
January 15, 2014
Citation
Mei, G., Zhang, J., Xi, G., Sun, X., and Chen, J. (April 3, 2014). "Analysis of Supersonic and Transonic Panel Flutter Using a Fluid-Structure Coupling Algorithm." ASME. J. Vib. Acoust. June 2014; 136(3): 031013. https://doi.org/10.1115/1.4027135
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